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UCLA COMPUTATIONAL AND APPLIED MATHEMATICS REPORTS

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2000

View PDF (00-45) Francois Malgouyres, Combining Total Variation and Wavelet Packet Approach for Image Deblurring, December 2000

View PDF (00-44) Russel E. Caflisch and Lorenzo Pareschi, Towards an Hybrid Monte Carlo Method for Rarefield Gas Dynamics, December 2000

View PDF (00-43) Marcelo Bertalmio, Guillermo Sapiro, Li-Tien Cheng and Stanley Osher, December 2000

View PDF (00-42) Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods, December 2000 (revised April 2002)

View PDF (00-41) Tony F. Chan and Luminita A. Vese, Active Contour and Segmentation Models Using Geometric PDE’s for Medical Imaging, December 2000

View PDF (00-40) Francois Malgouyres, Total Variation Based Oversampling of Noisy Images, December 2000

View PDF (00-39) Francois Malgouyres, Convolution Approximation by Mean of an Operator Diagonal in a Wavelet Packet Basis and Application to Image Deblurring, November 2000

View PDF (00-38) David M. Strong and Tony F. Chan, Edge-Preserving and Scale-Dependent Properties of Total Variation Regularization, October 2000

View PDF (00-37) Frederic G. Gibou, Ronald P. Fedkiw, Li-Tien Cheng and Myungjoo Kang, A Symmetric Method for Implicit Time Discretization of the Stefan Problem, October 2000

View PDF (00-36) Yen-Hsi Richard Tsai, Rapid and Accurate Computation of the Distance Function Using Grids, October 2000

View PDF (00-35) Tony F. Chan and Jianhong Shen, Non-Texture Inpainting by Curvature-Driven Diffusions (CDD), September 2000

View PDF (00-34) Alexander Kurganov and Eitan Tadmor, Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers, September 2000

View PDF (00-33) Anne Gelb and Eitan Tadmor, Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data, September 2000

View PDF (00-32) Li-Tien Cheng, Paul Burchard, Barry Merriman and Stanley Osher, Motion of Curves Constrained on Surfaces Using a Level Set Approach, September 2000

View PDF (00-31) Stanley J. Osher and Fadil Santosa, Level Set Methods for Optimization Problems Involving Geometry and Constraints I. Frequencies of a Two-Density Inhomogeneous Drum, August 2000

View PDF (00-30) Jianhong Shen, On the Singular Values of Gaussian Random Matrices, August 2000

View RPT (00-29) Paul Burchard, Li-Tien Cheng, Barry Merriman and Stanley Osher, Motion of Curves in Three Spatial Dimensions Using a Level Set Approach, July 2000

View PDF (00-28) Maria Carmela Lombardo, Russel E. Caflisch and Marco Sammartino, Asymptotic Analysis of the Linearized Navier-Stokes Equation on an Exterior Circular Domain: Explicit Solution and the Zero Viscosity Limit, July 2000

View PDF (00-27) Tony F. Chan and H.M. Zhou, Optimal Construction of Wavelet Coefficients Using Total Variation Regularization in Image Compression, July 2000

View PDF (00-26) Tony F. Chan and Ke Chen, Two-Stage Preconditioners using Wavelet Band Splitting and Sparse Approximation, July 2000

View PDF (00-25) Tony F. Chan, Sung Ha Kang and Jianhong Shen, Total Variation Denoising and Enhancement of Color Images Based on the CB and HSV Color Models, June 2000

View PDF (00-24) Russel E. Caflisch and Marco Sammartino, Existence and Singularities for the Prandtl Boundary Layer Equations, June 2000

View PDF (00-23) Marcelo Bertalmio, Li-tien Cheng, Stanley Osher and Guillermo Sapiro, Variational Problems and Partial Differential Equations on Implicit Surfaces: The Framework and Examples in Image Processing and Pattern Formation, June 2000

View PDF (00-22) Doreen De Leon, Wavelet Operators Applied to Multigrid Methods, (Ph.D. Thesis), June 2000

View PDF (00-21) Hao-Min Zhou, Wavelet Transforms and PDE Techniques in Image Compression, (Ph.D. Thesis), June 2000

View PDF (00-20) Li-Tien Cheng, The Level Set Method Applied to Geometrically Based Motion, Materials Science, and Image Processing, (Ph.D. Thesis), June 2000

View PDF (00-19) Duc Q. Nguyen, Ronald P. Fedkiw and Myungjoo Kang, A Boundary Condition Capturing Method for Incompressible Flame Discontinuities, June 2000

View PDF (00-18) Hyeseon Shim, Level Set Based Simulations of Two-Phase Oil-Water Flows in Pipes, May 2000

View PDF (00-17) Guillaume Chiavassa and Rosa Donat, Point Value Multi-Scale Algorithms for 2D compressible Flows, May 2000

View PDF (00-16) Eitan Tadmor, On a New Scale of Regularity Spaces with Applications to Euler’s Equations, May 2000

View PDF (00-15) C.R. Anderson, Capacitance Matrix Methods for the Solution of Elliptic Equations Defined by Level Set Functions, May 2000

View PDF (00-14) Tony F. Chan and Luminita A. Vese, Image Segmentation Using Level Sets and the Piecewise-Constant Mumford-Shah Model, April 2000 (Note: the pictures in this paper are color pictures)

View PDF (00-13) Tony F. Chan and Luminita A. Vese, A Level Set Algorithm for Minimizing the Mumford-Shah Functional in Image Processing, April 2000

View PDF (00-12) Ronald P. Fedkiw, Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method, April 2000

View PDF (00-11) Tony Chan and Jianhong Shen, Mathematical Models for Local Deterministic Inpaintings, March 2000

View PDF (00-10) Tony F. Chan and Petr Vanek, Detection of Strong Coupling in Algraic Multigrid Solvers, March 2000

View PDF (00-09) Russel Caflisch and Bo Li, Island Dynamics Models for Molecular Beam Epitaxy: Stability Analysis and Model Reduction, February 2000

View PDF (00-08) Stanley Osher and Ronald P. Fedkiw, Level Set Methods, February 2000

View PDF (00-07) Hailiang Liu and Wen-An Yong, Admissible Boundary Conditions and Stability of Boundary-Layers for a Hyperbolic Relaxation System, February 2000

View PDF (00-06) U. Iben and E. Tadmor, High Resolution Schemes for Conservation Laws in Simulation of Injection Systems, February 2000

View PDF (00-05) Sigal Gottlieb, Chi-Wang Shu and Eitan Tadmor, High Order Time Discretization Methods with the Strong Stability Preserving Property, February 2000

View PDF (00-04) Natalia Berloff and Paul Roberts, Motions in a Bose Condensate VII. Boundary Layer Separation , January 2000

View RPT (00-03) Susan Chen, Barry Merriman, Myungjoo Kang, Russel E. Caflisch, Christian Ratsch, Li-Tien Cheng, Mark Gyure, Ronald P. Fedkiw and Stanley Osher, Level Set Method for Thin Film Epitaxial Growth, January 2000

View PDF (00-02) Chris Anderson, Numerical Solution of the Incompressible Navier-Stokes Equations in Infinite Domains, January 2000

View PDF (00-01) Rachel Caiden, Ronald P. Fedkiw and Chris Anderson, A Numerical Method for Two Phase Flow Consisting of Separate Compressible and Incompressible Regions, January 2000

1999

View RPT (99-39) J. Shen, G. Strang, and A.J. Wathen, the Potential Theory of Several Intervals and Its Applications, December 1999

(99-38) Man-Chung Yeung and Tony F. Chan, ML(k)BiCGSTAB: A BiCGSTAB Variant Basedon Multiple Lanczos Starting Vectors, December 1999

View PDF (99-37) Natalia G. Berloff and Paul H. Roberts, Motions in a Bose Condensate VII. Boundary Layer Separation, December 1999

View PDF (99-36) Xuebin Chi and Ming Gu, Updating the Singular Value Decomposition, November 1999

View PDF (99-35) Tony F. Chan, B. Yezrielev Sandberg and Luminita A. Vese, Active Controus without Edges for Vector-Valued Images, October 1999

View PDF (99-34) Tony F. Chan, Stanley Osher and Jianhong Shen, The Digital TV Filter and Nonlinear Denoising, October 1999

View PDF (99-33) Maria Carmela Lombardo, Russel E. Caflisch and Marco Sammartino, Asymptotic Analysis of the Linearized Navier-Stokes Equation on an Exterior Circular Domain: Explicit Solution and the Zero Viscosity Limit, October 1999

View PDF (99-32) Guo Ben-yu, Ma He-ping and Eitan Tadmor, Spectral Vanishing Viscosity Method for Nonlinear Conservation Laws, October 1999

View PDF (99-31) Ronald P. Fedkiw, The Ghost Fluid Method for Numerical Treatment of Discontinuities and Interfaces, September 1999

View PDF (99-30) Tony F. Chan and W. L. Wan, Robust Multigrid Methods for Elliptic Linear Systems, September 1999

View PDF (99-29) Petr Vanek, Marian Brezina and Jan Mandel, Convergence of Algebraic Multigrid Based on Smoothed Aggregation, September 1999

View PDF (99-28) Petr Vanek, Marian Brezina, and Radek Tezaur, Two-Grid Method for Linear Elasticity on Unstructured Meshes, August 1999

View PDF (99-27) Myungjoo Kang, Ronald P. Fedkiw and Xu-Dong Liu, A Boundary Condition Capturing Method for Multiphase Incompressible Flow, August 1999

View PDF (99-26) B. Miller, B. Merriman, K. Rafique, S. Osher, N. Noushkam, A. Spletzer and T.H.K. Frederking, Vapor-Liquid Interfacial Dynamics and Related Liquid Nitrogen Boiling on Perforated Plates, August 1999 (there is no electronic version of this paper, if you would like one sent, please e-mail babette@math.ucla.edu)

View PDF (99-25) Robert Guzzo and Ming Gu, A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem, July 1999

View PDF (99-24) Alexander Kurganov and Eitan Tadmor, New High-Resolution Semi-Discrete Central Schemes for Hamilton-Jacobi Equations, July 1999

View PDF (99-23) Anne Gelb and Eitan Tadmor, Detection of Edges in Spectral Data II. Nonlinear Enhancement, July 1999

View PDF (99-22) Steven J. Ruuth, Barry Merriman and Stanley Osher, A Fixed Grid Method for Capturing the Motion of Self-Intersecting Interfaces and Related PDEs, July 1999

View RPT (99-21) Tony Chan and Hao Min Zhou, Adaptive ENO-Wavelet Transforms for Discontinuous Functions, June 1999

View PDF (99-20) Tony Chan and Jianhong Shen, Variational Restoration of Non-Flat Image Features: Models and Algorithms, June 1999

View PDF (99-19) Tony F. Chan and C.K. Wong, Convergence of the Alternating Minimization Algorithm for Blind Deconvolution, June 1999

View PDF (99-18) Jianhong Shen and Gilbert Strang, On Wavelets Fundamental Solutions to the Heat Equation — Heatlets, May 1999

View PDF (99-17) Michael K. Ng, Raymond H. Chan, Tony F. Chan and Andy M. Yip, Cosine Transform Preconditioners for High Resolution Image Reconstruction, April 1999

View PDF (99-16) Alexander Kurganov and Eitan Tadmor, New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations, April 1999

View PDF (99-15) Xu-Dong Liu, Ronald P. Fedkiw and Myungjoo Kang, A Boundary Condition Capturing Method for Poisson’s Equation on Irregular Domains, March 1999

View PDF (99-14) A.P. Engelmann, David G. Meyer, John Hauser and Russel Caflisch, Trajectory Morphing Applied to Epitaxial Thin Film Growth, March 1999

View PDF (99-13) C. Ratsch, M.F. Gyure, S. Chen, M. Kang and D.D. Vvedensky, Fluctuations and Scaling in Aggregation Phenomena, March 1999

View PDF (99-12) P. Hwang, R.P. Fedkiw, B. Merriman, A.R. Karagozian and S.J. Osher, Numerical Resolution of Pulsating Detonation Waves, March 1999

View PDF (99-11) Mark F. Gyure, Christian Ratsch, Barry Merriman, Russel E. Caflisch, Stanley Osher, Jennifer J. Zinck and Dimitri D. Vvedensky, Level Set Methods for the Simulation of Epitaxial Phenomena, March 1999

View PDF (99-10) Petr Vanek, Ales Janka and Herve Guillard, Convergence of Algebraic Multigrid Based on Smoothed Aggregation II: Extension to a Petrov-Galerkin Method, March 1999

View PDF (99-09) Tony F. Chan and Petr Vanek, Multilevel algebraic Elliptic Solvers, February 1999

View PDF (99-08) Russel E. Caflisch, Weinan E, Mark F. Gyure, Barry Merriman and Christian Ratsch, Kinetic Model for a Step Edge in Epitaxial Growth, February 1999

View PDF (99-07) Jianhong Shen, On Some Quantum Mechanical and Mathematical Aspects of Fourier Transforms of Fractional Orders (FTFO), February 1999

View PDF (99-06) Raymond H. Chan, Tony F. Chan, Michael K. Ng, Wun-Cheung Tang and Chiu-Kwong Wong, Preconditioned Iterative Methods for High-resolution Image Reconstruction with Multisensors, February 1999

View PDF (99-05) Antonio Marquina and Stanley Osher, Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal, January 1999

View PDF (99-04) Jianhong Shen, A Geometric Approach to Ergodic Non-Homogeneous Markov Chains, January 1999

View RPT (99-03) Barry Merriman, Russel Caflisch, Stanley Osher, Christian Ratsch, Susan Chen and Myungjoo Kang, Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth, January 1999

View PDF (99-02) Omar E. Ortiz, Stability of Solutions to the Cauchy Problem of Symmetric Hyperbolic Systems, January 1999

View PDF (99-01) Guojun Liao, Feng Liu, Gary C. de la Pena, Danping Peng, and Stanley Osher, Level Set Based Deformation Methods for Adaptive Grids, January 1999

1998

View PDF (98-54) Susie Go, Multilevel Methods on Unstructured Grids, (Ph.D. thesis), December 1998

View PDF (98-53) Tony F. Chan and Luminita A. Vese, Active Contours Without Edges, December 1998

View PDF (98-52) T. Chan, S. Go and J. Zou, Multilevel Spectral Partioning of Unstructured Grids, December 1998

View PDF (98-51) Danping Peng, Stanley Osher, Barry Merriman and Hong-Kai Zhao, The Geometry of Wulff Crystal Shapes and Its Relations with Riemann Problems, December 1998

View PDF (98-50) Eitan Tadmor and Tao Tang, Pointwise Error Estimates for Relaxation Approximations to Conservation Laws, December 1998

View PDF (98-49) David Kan, Nonlinear Galerkin Based Model Reduction, November 1998

View PDF (98-48) Elias Jonsson, Sung-Cheng Huang and Tony Chan, Total Variation Regularization in Positron Emission Tomography, November 1998

View PDF (98-47) Steven J. Ruuth, Barry Merriman, Jack Xin and Stanley Osher, Diffusion-Generated Motion by Mean Curvature for Filaments, November 1998 (Revised version posted 9/27/01)

View PDF (98-46) Jianhong Shen, Compactification of a Set of Matrices with Convergent Infinite Products, November 1998

View PDF (98-45) Zhilin Li, Hongkai Zhao, and Huajian Gao, A Numerical Study of Electro-Migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid, November 1998

View PDF (98-44) Ron Fedkiw and Xu-Dong Liu, The Ghost Fluid Method for Viscous Flows, October 1998

View PDF (98-43) Steven J. Ruuth, Barry Merriman, and Stanley Osher, Convolution Generated Motion as a Link Between Cellular Automata and Continuum Pattern Dynamics, September 1998

View PDF (98-42) Jianhong Shen, A Cascade Algorithm for Solitary-Wave Solutions of the Benjamin Equation, September 1998

View PDF (98-41) Milton C. Lopes Filho, Helena J. Nussenzveig Lopes and Eitan Tadmor, Approximate Solutions of the Incompressible Euler Equations with No Concentrations, September 1998

(98-40) C.R. Anderson, NetApp Wrappers, September 1998

View PDF (98-39) C.R. Anderson, Creating Distributed Applications in Java Using the cam.netapp Package, September 1998

View PDF (98-38) Chi-Tien Lin and Eitan Tadmor, High-Resolution Non-Oscillatory Central Schemes for Hamilton-Jacobi Equations, September 1998

View PDF (98-37) Anne Gelb and Eitan Tadmor, Enhanced Spectral Viscosity Approximations for Conservation Laws, August 1998

View PDF (98-36) Ronald P. Fedkiw, Tariq Aslam and Shaojie Xu, The Ghost Fluid Method for Deflagration and Detonation Discontinuities, August 1998

View PDF (98-35) Tony Chan, Antonio Marquina and Pep Mulet, Second Order Differential Functionals in Total Variation-Based Image Restoration, August 1998

View PDF (98-34) Bo Li and Mitchell Luskin, Theory and Computation for the Microstructure Near the Interface Between Twinned Layers and a Pure Variant of Martensite, August 1998

(98-33) M. Gu, Some New Rank-Revealing Factorizations, July 1998

View PDF (98-32) Mark Sussman and Shotaro Uto, A Computational Study of the Spreading of Oil Underneath a Sheet of Ice, July 1998

View PDF (98-31) J. Ystrom and H.-O. Kreiss, A Numerical Study of the Solution to the 3D Incompressible Navier-Stokes Equation with Forcing Function, July 1998

View PDF (98-30) Peter Valter Blomgren, Total Variation Methods for Restoration of Vector Valued Images, (Ph.D. thesis), June 1998

View PDF (98-29) Wing Lok Wan, Scalable and Multilevel Iterative Methods, (Ph.D. thesis), June 1998

View PDF (98-28) Tariq D. Aslam, A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws I: Scalar Equatons, June 1998

View PDF (98-27) W.L. Wan, Interface Preserving Coarsening Multigrid for Elliptic Problems with Highly Discontinuous Coefficients, May 1998

View PDF (98-26) Kaushik Bhattacharya, Bo Li, and Mitchell Luskin, Uniqueness and Stability of the Simply Laminated Microstructure for Martensitic Crystals that Undergo a Cubic to Orthorhombic Phase Transformation, May 1998

View PDF (98-25) Danping Peng, Barry Merriman, Stanley Osher, Hongkai Zhao and M. Kang, A PDE Based Fast Local Level Set Method, April 1998

View PDF (98-24) Heinz-Otto Kreiss and Jacob Ystrom, Research Report. A Numerical Study of the Solution to the 3D Incompressible Navier-Stokes Equations, April 1998 (NOTE: this is an extremely large color postscript file which as been split up into 4 separate postscript files named: cam98-24a.ps.gz, cam98-24b.ps.gz, cam98-24c.ps.gz and cam98-24d.ps.gz)

View PDF (98-23) Gerald L. Browning, William D. Henshaw and Heinz-Otto Kreiss, A Numerical Investigation of th Interaction between the Large and Small Scales of the Two-Dimensional Compression Navier-Stokes Equations, April 1998

View PDF (98-22) C.R. Vogel, T.F. Chan and R. Plemmons, Fast Algorithms for Phase-Diversity-Based Blind Deconvolution, April 1998

View PDF (98-21) Chi-Tien Lin and Eitan Tadmor, L¹ -Stability and Error Estimates for Approximate Hamilton-Jacobi Solutions, April 1998

View PDF (98-20) Russel E. Caflisch, Mark Gyure, Barry Merriman, Stanley Osher, Christian Ratsch, Dimitri Vvedensky and Jenna Zinck, Island Dynamics and the Level Set Method for Epitaxial Growth, April 1998

View PDF (98-19) Russel E. Caflisch, Monte Carlo and Quasi-Monte Carlo Methods, April 1998

View PDF (98-18) Wei-Pai Tang and W.L. Wan, Sparse Approximate Inverse Smoother for Multi-Grid, March 1998

View PDF (98-17) Ronald P. Fedkiw, Tariq Aslam, Barry Merriman and Stanley Osher, A Non-Oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (The Ghost Fluid Method), March 1998

View PDF (98-16) Ronald P. Fedkiw, Barry Merriman and Stanley Osher, Simplified Discretization of Systems of Hyperbolic Conservation Laws Containing Advection Equations, March 1998 (revised March 1999 — Note: New Title)

View PDF (98-15) Zhen-Su She, Universal Laws of Cascade of Turbulent Fluctuations, March 1998

View PDF (98-14) L. Cortelezzi, K.H. Lee, J. Kim, and J.L. Speyer, Progress in Boundary Layer Control: Robust Reduced-Order Control of Skin-Friction Drag, March 1998 (NOTE: this is a large color postscript file)

View PDF (98-13) Mark Green and Stanley Osher, Steiner Polynomials, Wulff Flows, and Some New Isoperimetric Inequalities for Convex Plane Curves, March 1998

View RPT (98-12) Tony F. Chan and H.M. Zhou Feature Preserving Lossy Image Compression Using Nonlinear PDE’s, March 1998

View PDF (98-11) Xu-Dong Liu, Ronald P. Fedkiw and Stanley Osher, A Quasi-Conservative Approach to the Multiphase Euler Equations without Spurious Pressure Oscillations, February 1998

View PDF (98-10) Barry Merriman, Russel Caflisch and Stanley Osher, Level Set Methods, with an Application to Modeling the Growth of Thin Films, February 1998

View PDF (98-09) C.R. Anderson, Y.-C. Chen and J.S. Gibson, Control and Identification of Vortex Wakes, February 1998

View PDF (98-08) Tony F. Chan, Jinchao Xu and Ludmil Zikatanov, An Agglomeration Multigrid method for Unstructured Grids, February 1998

View PDF (98-07) Hong-Kai Zhao, Stanley Osher, Barry Merriman and Myungjoo Kang, Implicit, Nonparametric Shape Reconstruction from Unorganized Points Using A Variational Level Set Method, February 1998 (revised February 1999)

View PDF (98-06) W.L. Wan, Tony F. Chan and Barry Smith, An Energy-Minimizing Interpolation for Robust Multigrid Methods, February 1998

View PDF (98-05) Ronald P. Fedkiw, Antonio Marquina and Barry Merriman, An Isobaric Fix for the Overheating Problem in Multimaterial Compressible Flows, February 1998

View PDF (98-04) Steven J. Ruuth and Barry Merriman, Convolution Generated Motion and Generalized Huygens’ Principles for Interface Motion, February 1998

View PDF (98-03) Eitan Tadmor and Tao Tang, Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions, February 1998

View PDF (98-02) Anne Gelb and Eitan Tadmor, Detection of Edges in Spectral Data, January 1998

View PDF (98-01) Doron Levy and Eitan Tadmor, Non-Oscillatory Boundary Treatment for Staggered Central Schemes, January 1998

1997

View PDF (97-61) Gadi Fibich and George Papanicolaou, A Modulation Method for Self-Focusing in the Perturbed Critical Nonlinear Schrodinger Equation, December 1997

View PDF (97-60) Russel E. Caflisch, Monte Carlo and Quasi-Monte Carlo Methods, December 1997

View PDF (97-59) Victor Eijkhout, Residual Smoothing for Complex Symmetric Systems, December 1997

View PDF (97-58) Tony Chan and Victor Eijkhout, Design of a Library of Parallel Preconditioners, December 1997

View PDF (97-57) L. Cortelezzi and J.L. Speyer, Advance in Boundary Layer Control: Robust Reduced-Order Transition Controller, December 1997

View PDF (97-56) Luminta Vese and Tony F. Chan, Reduced Non-Convex Functional Approximations for Image Restoration & Segmentation, December 1997

View PDF (97-55) Brian James Miller, Improvements in Computing Multiple Phase Flows (Ph.D. Thesis), December 1997

View PDF (97-54) Gunilla Kreiss and Heinz-Otto Kreiss, Stability of Systems of Viscous Conservation Laws, December 1997

View PDF (97-53) Tony F. Chan and Qiang Ye, A Mixed Product Krylov Subspace Method for Solving Nonsymmetric Linear Systems, November 1997

View PDF (97-52) Peter Blomgren and Tony F. Chan, Modular Solvers for Constrained Image Restoration Problems, November 1997

View PDF (97-51) Eitan Tadmor, Approximate Solutions of Nonlinear Conservation Laws, (Lecture Notes from CIME Course on “Advanced Numerical Approximation of Nonlinear Hyperbolic Equations”), November 1997

View RPT (97-50) Peter Blomgren, Tony F. Chan, Pep Mulet and C.K. Wong, Total Variation Image Restoration: Numerical Methods and Extensions, October 1997

View PDF (97-49) Charles J. Alpert, Tony F. Chan, Dennis J.-H. Huang, Andrew B. Kahng, Igor L. Markov, Pep Mulet, and Kenneth Yan, Faster Minimization of Linear Wirelength for Global Placement, September 1997

View PDF (97-48) C.J. Alpert, T. Chan, D.J.-H. Huang, I. Markov, and K. Yan, Quadratic Placement Revisited, September 1997

View PDF (97-47) Tony Chan and Luminita Vese, Variational Image Restoration & Segmentation Models and Approximations, September 1997

View PDF (97-46) Tony F. Chan and Pep Mulet, On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration, September 1997

View PDF (97-45) Bo Li and Mitchell Luskin, The Existence of Finite Element Minimizers, September 1997

View PDF (97-44) Raymond H. Chan, Tony F. Chan, and Chiu-Kwong Wong, Cosine Transform Based Preconditioners of Total Variation Deblurring, September 1997

View PDF (97-43) Heinz-Otto Kreiss and Shiu Hong Lui, Nonlinear Stability of Time Dependent Differential Equations, September 1997

View PDF (97-42) Peter Blomgren, Tony F. Chan and Pep Mulet, Extensions to Total Variation Denoising, September 1997

View PDF (97-41) Tony F. Chan and Qiang Ye, A Mixed Product Krylov Subspace Method for Solving Nonsymmetric Linear Systems, September 1997

View PDF (97-40) R. Donat, J.A. Font, J.M. Ibanez and A. Marquina, A Flux-Split Algorithm Applied to Relativistic Flows, August 1997

View PDF (97-39) Man-Chung Yeung, Probability and Symmetry in Computational Linear Algebra (Ph.D. Thesis), August 1997

View PDF (97-38) David M. Strong, Adaptive Total Variation Minimizing Image Restoration (Ph.D. Thesis), August 1997

View PDF (97-37) Shih-Hsien Yu, Zero Dissipation Limit to Solution with Shocks for System of Hyeprbolic Conservation Laws, August 1997

View PDF (97-36) Tony F. Chan, Susie Go and Ludmil Zikatanov, Multilevel Elliptic Solvers on Unstructured Grids, August 1997

View PDF (97-35) Tony F. Chan and Xue-Cheng Tai, Identification of Discontinuous Coefficients from Elliptic Problems Using Total Variation Regularization, August 1997

View PDF (97-34) T. F. Chan, W. P. Tang, and W. L. Wan, Wavelet Sparse Approximate Inverse Preconditioners, August 1997

View PDF (97-33) Steven J. Ruuth, Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature, July 1997

View PDF (97-32) David Strong, Peter Blomgren, and Tony F. Chan, Spatially Adaptive Local Feature-Driven Total Variation Minimizing Image Restoration, July 1997

View PDF (97-31) Ilya A. Sharapov, Multilevel Subspace Correction for Large-Scale Optimization Problems (Ph.D. Thesis), July 1997

View PDF (97-30) Stanley Osherand Barry Merriman, The Wulff Shape as the Asymptotic Limit of a growing Crystalline Interface, July 1997

View PDF (97-29) Guang-Shan Jiang and Danping Peng, Weighted ENO Schemes for Hamilton-Jacobi Equations, June 1997

View PDF (97-28) Steven J. Ruuth, A Diffusion-Generated Approach to Multiphase Motion, June 1997

View PDF (97-27) Ronald P. Fedkiw, Xu-Dong Liu and Stanley Osher, A General Technique for Eliminating Spurious Oscillations in Conservative Schemes for Multiphase and Multispecies Euler Equations, June 1997

View PDF (97-26) Xu-Dong Liu and Stanley Osher, Convex ENO High Order Multi-dimensional Schemes Without Field by Field Decomposition or Staggered Grids, June 1997

View PDF (97-25) Christopher R. Anderson and Archie C. Li, Integral Equation Preconditioning for the Solution of Poisson’s Equation on Geometrically Complex Regions, June 1997

View PDF (97-24) Victor Eijkhout and Tony Chan, ParPre: A Parallel Preconditioners Package reference manual for version 2.0.17, June 1997

View PDF (97-23) John P. Albert, Jerry L. Bona and Juan Mario Restrepo, Solitary-Wave Solutions of the Benjamin Equation, May 1997

View PDF (97-22) Juan Mario Restrepo, Behavior of a Sand Ridge Model, May 1997

View PDF (97-21) Gadi Fibich and George Papanicolaou, Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrodinger Equation in Critical Dimension, May 1997

View PDF (97-20) Raymond H. Chan, Tony F. Chan and W.L. Wan, Multigrid for Differential-Convolution Problems Arising from Image Processing, May 1997

View PDF (97-19) Tong Li, The Stability of a Transonic Profile Arising from Divergent Detonations, April 1997

View PDF (97-18) W. L. Wan, An Energy-Minimizing Interpolation for Multigrid Methods, April 1997

View PDF (97-17) Ronald P. Fedkiw, Barry Merriman and Stanley Osher, Efficient Characteristic Projection in Upwind Difference Schemes for Hyperbolic Systems, April 1997

View PDF (97-16) G. Fibich and G.C. Papanicolaou, Self-focusing in the Presence of a Small Time Dispersion and Nonparaxiality, April 1997

View PDF (97-15) Man-Chung Yeung and Tony F. Chan, ML(K)BICGSTAB A BICGSTAB Variant Based on Multiple Lanczos Starting Vectors, April 1997

View PDF (97-14) Eitan Tadmor, Approximate Solutions of Nonlinear Conservation Laws and Related Equations, April 1997

View RPT (97-13) Ulf Andersson, Bjorn Engquist, Gunnar Ledfelt and Olof Runborg, Wavelet-Based Subgrid Modeling: 1. Principles and Scalar Equations, March 1997

View PDF (97-12) Ming Gu, On Primal-Dual Interior Point Methods for Semidefinite Programming, March 1997

View PDF (97-11) Tony F. Chan, Susie Go and Ludmil Zikatanov, Lecture Notes on Multilevel Methods for Elliptic Problems on Unstructured Grids, March 1997

View PDF (97-10) Uri M. Ascher, Steven Ruuth and Raymond J. Spiteri, Implicit-Explicit Runge-Kutta Methods for Time-Dependent Partial Differential Equations, March 1997

View PDF (97-09) Bo Li and Mitchell Luskin, Approximation of a Laminate with Varying Volume Fractions, March 1997

View PDF (97-08) Bo Li and Zhimin Zhang, Analysis of a Class of Superconvergence Patch Recovery Techniques for Linear and Bilinear Finite Elements, March 1997

View PDF (97-07) G.-S. Jiang, D. Levy, C.-T. Lin, S. Osher and E. Tadmor, High-Resolution Non-Oscillatory Central Schemes with Non-Staggered Grids for Hyperbolic Conservation Laws, February 1997

View PDF (97-06) William J. Morokoff, Generating Quasi-Random Paths for stochastic Processes, February 1997

View PDF (97-05) James Demmel, Ming Gu, Stanley Eisenstat, Ivan Slapnicar, Kresimir Veselic and Zlatko Drmac, Computing the Singular Value Decomposition with High Relative Accuracy, February 1997

View PDF (97-04) Zhen-Su She, Hierarchical Structures and Scalings in Turbulence, February 1997

View PDF (97-03) Doron Levy and Eitan Tadmor, From Semi-Discrete to Fully-Discrete: Stability of Runge-Kutta Schemes by the Energy Method, January 1997

View PDF (97-02) Tony F. Chan and Xue-Cheng Tai, Augmented Lagrangian and Total Variation Methods for Recovering Discontinuous Coefficients from Elliptic Equations, January 1997
View PDF (97-01) Russel E. Caflisch, William Morokoff and Art Owen, Valuation of Mortgage Backed Securities Using Brownian Bridges to Reduce Effective Dimension, January 1997

1996

View PDF (96-55) Mark Sussman and Emad Fatemi, An Efficient, Interface Preserving Level Set Re-Distancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow, December 1996

(96-54) Susan Yu-Ping Chen, A Simple Level Set Method for Solving Stefan Problems, (Ph.D. Thesis), December 1996

View PDF (96-53) Archie C. Li, Incompressible Navier-Stokes Flow About Multiple Moving Bodies, (Ph.D. Thesis), December 1996

View PDF (96-52) Olof Runborg, Multiphase Computations in Geometrical Optics, December 1996

View PDF (96-51) Raz Kupferman and Eitan Tadmor, A Fast High-Resolution Second-Order Central Scheme for Incompressible Flows, December 1996

View PDF (96-50) Ming Gu, New Methods for Estimating the Distance to Uncontrollability, December 1996

View RPT (96-49) Steven J. Ruuth, Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature, (Ph.D. thesis), November 1996

View PDF (96-48) D. Senouf, R.E. Caflisch and N. Ercolani, Complex Singularities for Burgers Equation with Complex Viscosity, November 1996

View PDF (96-47) T.F. Chan, E. Chow, Y. Saad and M.C. Yeung, Preserving Symmetry in Preconditioned Krylov Subspace Methods, November 1996

View PDF (96-46) David M. Strong and Tony F. Chan, Spatially and Scale Adaptive Total Variation Based Regularization and Anisotropic Diffusion in Image Processing, November 1996

View PDF (96-45) Tony F. Chan and C.K. Wong, Total Variation Blind Deconvolution, November 1996

View PDF (96-44) Victor Eijkhout, On Factorisations of the Hessenberg Matrices Arising from Polynomial Iterative Methods, October 1996

View PDF (96-43) Tong Li, Asymptotic Stability of a Plane CJ Detonation Wave, October 1996

View PDF (96-42) Xu-Dong Liu and Eitan Tadmor, Third Order Nonoscillatory Central Scheme for Hyperbolic Conservation Laws, October 1996

View RPT (96-41) David Strong and Tony Chan, Exact Solutions to Total Variation Regularization Problems, October 1996

View PDF (96-40) Heinz-Otto Kreiss, Omar E. Ortiz and Oscar A. Reula, Stability of Quasi-Linear Hyperbolic Dissipative Systems, October 1996

View PDF (96-39) Hong-Kai Zhao, Barry Merriman, Stanley Osher, Lihe Wang, Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach, October 1996 (Note there are figures that will be put in the postscript file at a later date).

View PDF (96-38) Tony F. Chan and Pep Mulet, Iterative Methods for Total Variation Image Restoration, October 1996

View PDF (96-37) Doron Levy and Eitan Tadmor, Non-Oscillatory Central Schemes for the Incompressible 2-D Euler Equations, October 1996

View PDF (96-36) Guang-Shan Jiang and Eitan Tadmor, Non-oscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws, October 1996

View PDF (96-35) Tai-Ping Liu and Shih-Hsien Yu, Continuum Shock Profiles for Discrete Conservation Laws, September 1996

View PDF (96-34) Tony F. Chan and Ilya Sharapov, Subspace Correction Multilevel Methods for Elliptic Eigenvalue Problems, September 1996

View PDF (96-33) Tony F. Chan, W. P. Tang, and W. L. Wan, Wavelet Sparse Approximate Inverse Preconditioners, September 1996

View PDF (96-32) Ronald P. Fedkiw, Barry Merriman, and Stanley Osher, Numerical Methods for a One-Dimensional Interface Separating Compressible and Incompressible Flows, September 1996

View PDF (96-31) Tony F. Chan and Michael K. Ng, Galerkin Projection Methods for Solving Multiple Linear Systems, September 1996

View PDF (96-30) Tony F. Chan, Susie Go and Jun Zou, Boundary Treatments for Multilevel Methods on Unstructured Meshes, September 1996

View PDF (96-29) Panayot S. Vassilevski, On Some Applications of the H^σ-Stable Wavelet-Like Hierarchical Finite Element Space Decompositions, September 1996

View PDF (96-28) Bjorn Engquist and Hong-Kai Zhao, Analysis of Generalized schwarz Alternating Procedure for Domain Decomposition, August 1996

View PDF (96-27) Gadi Fibich, An Adiabatic Law for Self-Focusing of Optical Beams, August 1996

View PDF (96-26) Francesc Arandiga, Rosa Donat and Ami Harten, Multiresolution Based on Weighted Averages of the Hat Function II: Non-Linear Reconstruction Techniques, August 1996

View PDF (96-25) Francesc Arandiga, Rosa Donat and Ami Harten, Multiresolution Based on Weighted Averages of the Hat Function I: Linear Reconstruction Techniques, August 1996

View PDF (96-24) Panayot S. Vassilevski and Junping Wang, Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs, August 1996

View PDF (96-23) Russel E. Caflisch and William Morokoff, Valuation of Mortgage Backed Securities Using the Quasi-Monte Carlo Method, August 1996

View PDF (96-22) Shin-Shin Kao and Russel E. Caflisch, Steady Buoyant Droplets with Circulation, July 1996

View PDF (96-21) S. Chen, B. Merriman, S. Osher and P. Smereka, A Simple Level Set Method for Solving Stefan Problems, July 1996

View PDF (96-20) An Jiang, Fast Wavelet Based Methods for Certain Time Dependent Problems (Ph.D. thesis), July 1996

View PDF (96-19) Myungjoo Kang, A Level Set Approach for the Motion of Soap Bubbles with Curvature Dependent Velocity or Acceleration, (Ph.D. thesis), July 1996

View PDF (96-18) Ronald P. Fedkiw, Barry Merriman, Rosa Donat, and Stanley Osher, The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina’s Flux Splitting, July 1996

View PDF (96-17) Zhillin Li, David F. McTigue and Jan T. Heine, A Numerical Method for Diffusive Transport with Moving Boundaries and Discontinuous Material Properties, July 1996

View PDF (96-16) Russel E. Caflisch and William Morokoff, Quasi-Monte Carlo Computation of a Finance Problem, July 1996

View PDF (96-15) Guang-Shan Jiang and Shih-Hsien Yu, Discrete Shocks for Finite Difference Approximations to Scalar Conservation Laws, June 1996

View PDF (96-14) M. Sammartino and R.E. Caflisch, Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equations on a Half Sapce II: Construction of the Navier-Stokes Solution, May 1996

View PDF (96-13) M. Sammartino and R.E. Caflisch, Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equations on a Half Sapce I: Existence for Euler and Prandtl Equations, May 1996

View PDF (96-12) Jinchao Xu, An Introduction to Multigrid Convergence Theory, May 1996

View PDF (96-11) Gadi Fibich, Small Beam Nonparaxiality Arrests Self-Focusing of Optical Beams, April 1996

View PDF (96-10) Tong Li, Time-Asymptotic Limit of Solutions of a Combustion Problem, April 1996

View PDF (96-09) Zhilin Li, Hongkai Zhao, and Stanley Osher, A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow, April 1996

View PDF (96-08) A. Kurganov and E. Tadmor, Stiff Systems of Hyperbolic Conservation Laws. Convergence and Error Estimates, April 1996

View RPT (96-07) David M. Strong and Tony F. Chan, Relation of Regularization Parameter and Scale in Total Variation Based Image Denoising, February 1996

View PDF (96-06) Tamir Tassa, Homogenization of Two Dimensional Linear Flows with Integral Invariance, February 1996

View PDF (96-05) Peter Blomgren and Tony Chan, Color TV: Total Variation Methods for Restoration of Vector Valued Images, February 1996

View PDF (96-04) C. David Levermore and William J. Morokoff, The Gaussian Moment Closure for Gas Dynamics, February 1996

View PDF (96-03) Mihai Dorobantu and Bjorn Engquist, Wavelet-Based Numerical Homogenization, February 1996

View PDF (96-02) G. Fibich, Femtosecond Laser-Tissue Interactions, January 1996

View PDF (96-01) Ronald P. Fedkiw, Barry Merriman, and Stanley Osher, Numerical Methods for a Mixture of Thermally Perfect and/or Calorically Perfect Gaseous Species with Chemical Reactions, January 1996

1995

View PDF (95-48) Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, II: Implementation and Numerical Results, December 1995

View PDF (95-47) Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory, December 1995

(95-46) Tony F. Chan and Panayot S. Vassilevski, Convergence Analysis of Block-ILU Factorization Algorithms Exploiting Coarse-Space Block-Size Reduction for Finite Element Elliptic Equations, December 1995

View PDF (95-45) Bjorn Engquist and Olof Runborg, Multi-Phase Computations in Geometrical Optics, November 1995

View PDF (95-44) L. Cortelezzi, Y.-C. Chen and H.-L. Chang, Nonlinear Feedback Control of the Wake Past a Plate with a Suction Point on the Downstream Wall: From a Low-Order Model to a Higher-Order Model, October 1995

View PDF (95-43) Tony F. Chan, Gene H. Golub, and Pep Mulet, A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration, September 1995

View PDF (95-42) Guang-Shan Jiang and Chi-Wang Shu, Efficient Implementation of Weighted ENO Schemes, September 1995

View PDF (95-41) Eduard Harabetian and Stanley Osher, Regularization of Ill-Posed Problems Via the Level Set Approach, September 1995 (Revised December 1996)

View PDF (95-40) Zhilin Li, A Fast Iterative Algorithm for Elliptic Interface Problems, September 1995

View PDF (95-39) Ivan D. Lirkov, Svetozar D. Margenov and Lyudmil T. Zikatanov, Circulant Block-Factorization Preconditioning of Anisotropic Elliptic Problems, August 1995

View PDF (95-38) David Senouf, Russel Caflisch and Nicholas Ercolani, Pole Dynamics and Oscillations for Complex Burgers Equation in the Small Dispersion Limit, August 1995

View PDF (95-37) G. Fibich, V.M. Malkin, and G.C. Papanicolaou, Beam Self-Focusing in the Presence of Small Normal Time Dispersion, August 1995

View PDF (95-36) Hong-Kai Zhao, T. Chan, B. Merriman and S. Osher, A Variational Level set Approach to Multiphase Motion, July 1995

View PDF (95-35) David Senouf, On the Zero-Viscosity Limit of Burgers’ Equation from the Perspective of Complex Singularities, July 1995

View PDF (95-34) G. Fibich, Time Dispersive Effects in Ultrashort Laser-Tissue Interactions, July 1995

View PDF (95-33) David Senouf, On the Real Time Dynamics of Complex Singularities for Burgers’ Equation, July 1995

View PDF (95-32) Shin-Shin Kao, Vortex Sheets, Singular Integrals and Steady Flows, UCLA Ph.D. Thesis, June 1995

View PDF (95-31) N. Anders Petersson, A New Algorithm for Generating Overlapping Grids, June 1995

View PDF (95-30) Eduard Harabetian and Stanley Osher, An Eulerian Approach for Vortex Motion, June 1995 (Revised version, October 1995)

View PDF (95-29) Man-Chung Yeung and Tony F. Chan, Probabilistic Analysis of Gaussian Elimination Without Pivoting, June 1995

View PDF (95-28) Tony F. Chan, H.M. Zhou and Raymond H. Chan, Continuation Method for Total Variation Denoising Problems, June 1995

View PDF (95-27) Mark Sussman, Emad Fatemi, Peter Smereka and Stanley Osher, An Improved Level Set Method for Incompressible Two-Phase Flows, May 1995 (Revised August 1998)

View PDF (95-26) Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, May 1995

View PDF (95-25) Zhilin Li, Immersed Interface Methods for Moving Interface Problems, May 1995

View PDF (95-24) Tony F. Chan, Susie Go, and Jun Zou, Multilevel Domain Decomposition and Multigrid Methods for Unstructured Meshes: Algorithms and Theory, May 1995

View PDF (95-23) Raymond H. Chan, Tony F. Chan and Chiu-Kwong Wong, Cosine Transform Based Preconditioners for Total Variation Minimization Problems in Image Processing, April 1995

View PDF (95-22) Russel E. Caflisch, Nicholas Ercolani and Gregory Steele, Geometry of Singularities for the Steady Boussinesq Equation, April 1995

View PDF (95-21) L. Cortelezzi, On the Active Control of the Wake Past a Plate with a Suction Point on the Downstream Wall, April 1995

View PDF (95-20) L. Cortelezzi, Power-Law Starting Flow Past a Flat Plate: Brown and Michael’s Model, Scaling, and Universality, April 1995

View PDF (95-19) Rosa Donat and Antonio Marquina, Capturing Shock Reflections: An Improved Flux Formulation, April 1995

View PDF (95-18) Tony F. Chan, H.M. Zhou, and Raymond H. Chan, Continuation Method for Total Variation Denoising Problems, April 1995

View PDF (95-17) J.K. Tegner, Properties of Detonation Waves, April 1995

View PDF (95-16) Tony F. Chan and Jun Zou, A Convergence Theory of Multilevel Additive Schwarz Methods on Unstructured Meshes, March 1995

View PDF (95-15) Stanley Osher Subscale in Computational Fluid Dynamics, March 1995

View PDF (95-14) Bjorn Engquist and Bjorn Sjogreen, High Order Shock Capturing Methods, March 1995

View PDF (95-13) Russel E. Caflisch, Isaac Klapper, and Gregory Steele, Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD, March 1995

View PDF (95-12) David Senouf, Asymptotic and Numerical Approximations of the Zeros of Fourier Integrals, March 1995

View PDF (95-11) E. Fatemi, B. Engquist, and S. Osher, Finite Difference Methods for Geometrical Optics and Related Nonlinear PDEs Approximating the High Frequency Helmholtz Equation, March 1995

View PDF (95-10) Tamir Tassa, Weak Limits of Multi-Scale Homogenization: A Phenomenon of Convergence to Averages on Submanifolds of the Torus, March 1995

View PDF (95-09) Randall J. LeVeque and Zhilin Li, Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface tension, February 1995

View PDF (95-08) Johan F. Malmliden, A Fourth Order Accurate Method to Compute the 3D Flow Around a Ship, February 1995

View PDF (95-07) Johan F. Malmliden, An Efficient Numerical Method for 3D Flow Around a Submerged Body, February 1995

View PDF (95-06) Panayot S. Vassilevski, On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods, February 1995

View PDF (95-05) Tony F. Chan, John R. Gilbert, and Shang-Hua Teng, Geometric Spectral Partitioning, January 1995

View PDF (95-04) Barry Smith, Extensible PDE Solvers Package Users Manual, January 1995

View PDF (95-03) Bjorn Engquist and Erding Luo, New Coarse Grid Operators for Highly Oscillatory Coefficient Elliptic Problems, January 1995

View PDF (95-02) Zhilin Li, A Note on Immersed Interface Method for Three Dimensional Elliptic Equations, January 1995

View PDF (95-01) Gui-Qiang Chen and Philippe G. LeFloch, Entropy Flux-Splittings for Hyperbolic Conservation Laws Part I: General Framework, January 1995

1994

View PDF (94-46) Yann Brenier and Lucilla Corrias, Capturing Multivalued Solutions, December 1994

View PDF (94-45) Yann Brenier and Emmanuel Grenier, On the Model of Pressureless Gases with Sticky Particles, December 1994

View PDF (94-44) Tony F. Chan, Sheng Zhang and Jun Zou, Multilevel Additive Preconditioner for Elliptic Problems on Non-Nested Meshes, August 1994

View PDF (94-43) J. Ma, Interpolation on Arbitrary Regions in the Complex Plane, December 1994

View PDF (94-42) Russel E. Caflisch, Thomas Y. Hou, and John Lowengrub, Almost Optimal Convergence of the Point Vortex Method for Vortex Sheets using Numerical Filtering, December 1994

View PDF (94-41) Russel E. Caflisch and Bradley Moskowitz, Modified Monte Carlo Methods Using Quasi-Random Sequences, December 1994

View PDF (94-40) Bradley Moskowitz Improved Stochastic Simulation Using Quasi-Monte Carlo: A Computational Study, December 1994

View PDF (94-39) Bradley Moskowitz, Quasirandom Diffusion Monte Carlo, December 1994

View PDF (94-38) Russel E. Caflisch and Peter Smereka, Singularity Formation for Models of Axi-Symmetric Swirling Flow, December 1994

View PDF (94-37) P. Ciarlet, Jr. and F. Lamour, On the Validity of a Front-Oriented Approach to Partitioning Large Sparse Graphs with a Connectivity Constraint, December 1994

View PDF (94-36) Eitan Tadmor and Tamir Tassa, On the Homogenization of Oscillatory Solutions to Nonlinear Convection-Diffusion Equations, November 1994

View PDF (94-35) Fredrik Olsson and N. Anders Petersson, Stability of Interpolation on Overlapping Grids, November 1994

View PDF (94-34) Patrick S. Hagan, Diana E. Woodward, Russel E. Caflisch, and Joseph B. Keller, Optimal Pricing, Use and Exploration of Uncertain Natural Resources, November 1994

View PDF (94-33) Tony F. Chan, Svetozar D. Margenov and Panayot S. Vassilevski, Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems, November 1994

View PDF (94-32) N. Anders Petersson, Fast Numerical Computation of 2-D Free Surface Jet Flow with Surface Tension, November 1994

View PDF (94-31) Tony F. Chan, Graeme Fairweather, and Jian Ping Shao, First-Order System Least Squares Methods for Convection-Diffusion Equations on Unstructured Meshes, October 1994

View PDF (94-30) Albert Fannjiang and George Papanicolaou, Diffusion in Turbulence, September 1994

View PDF (94-29) Albert Fannjiang, Time Scales in Noisy Conservative Dynamical Systems, September 1994

View PDF (94-28) Henk A. van der Vorst and Tony F. Chan, Linear System Solvers: Sparse Iterative Methods, September 1994

View PDF (94-27) Tony F. Chan and Henk A. van der Vorst, Approximate and Incomplete Factorizations, September 1994

View PDF (94-26) Tony F. Chan and W. L. Wan, Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides, August 1994

View PDF (94-25) Chris Anderson and Marie Dillon Dahleh, Rapid Computation of the Discrete Fourier Transform, August 1994

View PDF (94-24) Stanley Osher, Subscale Capturing in Numerical Analysis, July 1994

View PDF (94-23) P. Ciarlet, Jr., F. Lamour, and B.F. Smith, On the Influence of the Partitioning Schemes on the Efficiency of Overlapping Domain Decomposition Methods, July 1994

View PDF (94-22) Tony F. Chan and Jun Zou, Domain Decomposition Algorithms for Non-Symmetric Parabolic Problems on Unstructured Meshes, July 1994

View PDF (94-21) Ami Harten, Multiresolution Representation of Cell-Averaged Data, July 1994

View PDF (94-20) Rémi Abgrall and Amiram Harten , Multiresolution Representation in Unstructured Meshes: I. Preliminary Report, July 1994

View PDF (94-19) Tedd Szeto Conjugate Gradient-Type Product Methods for Solving Nonsymmetric Linear Systems (Ph.D. Thesis), June 1994

View PDF (94-18) Tony Chan and Tedd Szeto Composite Step Product Methods for Solving Nonsymmetric Linear Systems, June 1994

View PDF (94-17) Bradley Moskowitz and Russel E. Caflisch, Smoothness and Dimension Reduction in Quasi-Monte Carlo Methods, March 1994

View PDF (94-16) Russel E. Caflisch, Shi Jin, and Giovanni Russo Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation, May 1994

View PDF (94-15) Tony F. Chan and Jian Ping Shao, Parallel Complexity of Domain Decomposition Methods and Optimal Coarse Grid Size, June 1994

View PDF (94-14) Tony F. Chan, Barry Smith and Jun Zou, Multigrid and Domain Decomposition Methods for Unstructured Meshes, June 1994

View PDF (94-13) Mark Sussman, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, (Ph.D. Thesis, UCLA), June 1994

(94-12) Amiram Harten , Multiresolution Representation and Numerical Algorithms: A Brief Review, June 1994

View PDF (94-11) Tony F. Chan and Tedd Szeto, The Composite Step Family of Nonsymmetric Conjugate Gradient Methods, April 1994

View PDF (94-10) Amiram Harten , Multiresolution Representation of Data. II. General Framework April 1994

View PDF (94-9) P. Ciarlet, Jr. and F. Lamour, Spectral Partitioning Methods and Greedy Partitioning Methods: A Comparison on Finite Element Graphs, April 1994

View PDF (94-8) Tony F. Chan, Barry, Smith and Jun Zou, Overlapping Schwarz Methods on Unstructured Meshes Using Non-Matching Coarse Grids, March 1994

View PDF (94-7) Tony F. Chan and W.K. Szeto, A Sign Cut Version of the Recursive Spectral Bisection Graph Partitioning Algorithm, March 1994

View PDF (94-6) Jun Zou, Finite Element Error Estimates of Fictitious Domain Methods for Parabolic Problems, March 1994

View PDF (94-5) Mark Sussman, Peter Smereka, and Stanley Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, February 1994

View PDF (94-4) Y.C. Chang, T.Y. Hou, B. Merriman, and S. Osher, A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows, February 1994 (revised Sept. 1995)

View PDF (94-3) Tamir Tassa, Uniqueness of Weak Solutions of the Cauchy Problem for Multidimensional Degenerate Parabolic Equations, January 1994

View PDF (94-2) Tony F. Chan and Tarek P. Mathew, Domain Decomposition Algorithms, January 1994

View PDF (94-1) P. Ciarlet, Jr. and F. Lamour, An Efficient Low Cost Greedy Graph Partitioning Heuristic, January 1994

1993

View PDF (93-42) Tony F. Chan and Barry Smith, Domain Decomposition and Multigrid Algorithms for Elliptic Problems on Unstructured Meshes, December 1993

View PDF (93-41) Tamir Tassa, Uniqueness and Regularity of Weak Solutions of the Nonlinear Fokker-Planck Equation, December 1993

View PDF (93-40) Tony F. Chan and Jun Zou, Additive Schwarz Domain Decomposition Methods for Elliptic Problems on Unstructured Meshes, December 1993

View PDF (93-39) Jun Zou, Finite Element Error Analysis for a Nonlinear System Describing Multi-Component Phase Transitions with Dissipation, November 1993

View PDF (93-38) Jian Ping Shao, Domain Decomposition Algorithms (Ph.D. Thesis), October 1993

View PDF (93-37) Christopher R. Anderson, Documentation for the UCLA++ C++ Class Library, October 1993

View PDF (93-36) Bjorn Engquist and Erding Luo, Multigrid Methods for Differential Equations with Highly Oscillatory Coefficients, October 1993

View PDF (93-35) Bradley Scott Moskowitz, Application of Quasi Random Sequences to Monte Carlo Methods (Ph.D. Thesis), September 1993

View PDF (93-34) F. Arandiga, Rosa Donat, and Amiram Harten , Multiresolution Based on Weighted Averages of the Hat Function, September 1993

View PDF (93-33) P.L. Lions, B. Perthame, and E. Tadmor, Kinetic Formulation of the Isentropic Gas Dynamics and P-Systems, September 1993

View PDF (93-32) M. Arioli, T.F. Chan, I.S. Duff, N.I.M. Gould, and J.K. Reid, Computing a Search Direction for Large-Scale Linearly-Constrained Nonlinear Optimization Calculations, August 1993

(93-31) Antonio Marquina and Rosa Donat, Capturing Shock Reflexions: A Nonlinear Local Characteristic Approach, August 1993

View PDF (93-30) O.P. Iliev, Numerical Investigation of 2D Laminar Flow and Solute Transport in a Channel with Some Symmetric Expansions and Contractions, July 1993

View PDF (93-29) Ivan D. Lirkov, Svetozar D. Margenov and Panayot S. Vassilevski, Circulant Block-Factorization Preconditioners for Elliptic Problems, July 1993

View PDF (93-28) Graham F. Carey, Atanas I. Pehlivanov and Panayot S. Vassilevski, Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems, II: Performance of Block-ILU Factorization Methods, July 1993

View PDF (93-27) Tony F. Chan and Tedd Szeto, A Composite Step Conjugate Gradients Squared Algorithm for Solving Nonsymmetric Linear Systems, July 1993

View PDF (93-26) Rosa Donat and Ami , Data Compression Algorithms for Locally Oscillatory Data, July 1993

View PDF (93-25) I.D. Mishev, V. Austel, T.F. Chan, and P.S. Vassilevski, Experiments with Algebraic Multilevel Preconditioners on Connection Machine, July 1993

View PDF (93-24) Tony F. Chan and Jian-Ping Shao, Optimal Coarse Grid Size in Domain Decomposition, July 1993

View PDF (93-23) Christopher R. Anderson and Karen Pao, Computation of Flow Noise Via Asymptotic Expansions, July 1993

View PDF (93-22) Xu-Dong Liu, Stanley Osher and Tony Chan, Weighted Essentially Non-Oscillatory Schemes, July 1993

View PDF (93-21) Randolph E. Bank and Tony F. Chan, A Composite Step Bi-Conjugate Gradient Algorithm for Nonsymmetric Linear Systems, June 1993

View PDF (93-20) R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite Volume Methods with Local Refinement for Convection-Diffusion Problems, June 1993

View PDF (93-19) Barry Merriman, James K. Bence, and Stanley J. Osher, Motion of Multiple Junctions: A Level Set Approach, June 1993

(93-18) Mark Sussman, Peter Smereka, and Stanley Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, June 1993

View PDF (93-17) David L. Chopp, Numerical Computation of Self-Similar Solutions for Mean Curvature Flow, June 1993

View PDF (93-16) Ricardo D. Fierro and Per Christian Hansen, Approximating Truncated LS and TLS Solutions by Rank Revealing Two-Sided Orthogonal Decompositions, June 1993

View PDF (93-15) Lisette G. De Pillis, Far Field Behavior of Slightly Compressible Flows, June 1993

View PDF (93-14) Tony F. Chan, P. Ciarlet, Jr. and W.K. Szeto, On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method, June 1993 (Revised January 1994)

View PDF (93-13) Amiram Harten , Multiresolution Representation of Data, I. Preliminary Report, June 1993

View PDF (93-12) Householder Symposium Book of Abstract, UCLA Lake Arrowhead Conference Center, June 13-18, June 1993

View PDF (93-11) Emad Fatemi, Numerical Solution of the Navier-Stokes Equations for the Initial Motion of a Two Dimensional Bubble in a Fluid, May 1993

View PDF (93-10) Rick Fierro and Kung Yao Analytical Bounds on Least Squares and Total Least Squares Methods for the Linear Prediction Problem, May 1993

View PDF (93-09) Jian Ping Shao, The Application of a Domain Decomposition Method to Solving Singular Neumann Boundary Problems, April 1993

View PDF (93-08) Giovanni Russo and Peter Smereka, Kinetic Theory for Bubbly Flow II: Fluid Dynamic Limit, April 1993

View PDF (93-07) Giovanni Russo and Peter Smereka, Kinetic Theory for Bubbly Flow I: Collisionless Case, April 1993

(93-06) Amiram Harten , Adaptive Multiresolution schemes for Shock Computations, April 1993

View PDF (93-05) B. Engquist, E. Fatemi, and S. Osher, Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation, April 1993

View PDF (93-04) Yu-Chung Chang and Tony F. Chan, Performance Modelling for High Order Finite Difference Methods on the Connection Machine CM-2, March 1993 (Revised December 1993)

View PDF (93-03) Amiram Harten , Multiresolution Algorithms for the Numerical Solution of Hyperbolic Conservation Laws, March 1993

View PDF (93-02) Christopher R. Anderson, and Marc Reider, Investigation of the use of Prandtl/Navier-Stokes Equation Procedures for Two-Dimensional Incompressible Flows, January 1993. To appear in “Proceedings of the NATO Workshop on Vortex Dynamics, Grenoble France, June 1993

View PDF (93-01) Christopher R. Anderson, A Finite Vortex Street Model, January 1993

1992

View PDF (92-53) Randolph E. Bank and Tony F. Chan, An Analysis of the Composite Step Biconjugate Gradient Method, December 1992

View PDF (92-52) Francesc Arandiga, Vicente F. Candela, and Rosa Donat, Fast Multiresolution Algorithms for Solving Linear Equations: A Comparative Study, December 1992

View PDF (92-51) Ricardo D. Fierro and James R. Bunch, A Posteriori Bounds for Assessing the Quality of Subspaces Obtained by Rank Revealing Two-Sided Orthogonal Decompositions, December 1992

View PDF (92-50) R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite Volume Methods for Convection-Diffusion Problems, December 1992

View PDF (92-49) F. Lorenzelli, P.C. Hansen, T.F. Chan, and K. Yao, The RRQR Factorization and Its Systolic Implementation, December 1992

View PDF (92-48) Wlodek Proskurowski and Panayot S. Vassilevski, Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding, November 1992

View PDF (92-47) Russel E. Caflisch, Xiaofan Li and Michael J. Shelley, The Collapse of an Axi-Symmetric, Swirling Vortex Sheet, November 1992

View PDF (92-46) Panayot S. Vassilevski and Raytcho D. Lazarov, Preconditioning Saddle-Point Problems Arising from Mixed Finite Element Discretization of Elliptic Equations, November 1992

View PDF (92-45) David A. Pugh and Stephen J. Cowley, On the Formation of an Interface Singularity in the Rising 2-D Boussinesq Bubble, November 1992

View PDF (92-44) Ricardo D. Fierro and James R. Bunch, Perturbation Theory for Orthogonal Projection Methods With Applications to Least Squares and Total Least Squares, October 1992 (revised March 1994)

View PDF (92-43) Tony F. Chan and Tarek P. Mathew, Domain Decomposition Preconditioners for Convection Diffusion Problems, October 1992

View PDF (92-42) De-kang Mao, A Shock Tracking Technique Based on Conservation in One Space Dimension, September 1992

(92-41) Panayot S. Vassilevski, Iterative Solution of Finite Element Elliptic Equations, September 1992

View PDF (92-40) Russel E. Caflisch and Xiao-Fan Li, Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry, September 1992

View PDF (92-39) Stanley Osher, A Level Set Formulation for the Solution of the Dirichlet Problem for Hamilton-Jacobi Equations, September 1992

View PDF (92-38) Robert L. Pego, Peter Smereka, and Michael I. Weinstein, Oscillatory Instability of Traveling Waves for a KdV-Burgers Equation, August 1992

View PDF (92-37) Francesc Arandiga and Vicente F. Candela, Multiresolution Standard Form of a Matrix, August 1992

View PDF (92-36) Rosa Donat, Studies on Error Propagation for Certain Nonlinear Approximations to Hyperbolic Equations: Discontinuities in Derivatives, August 1992

(92-35) Marc B. Reider, Development of Higher Order Numerical Methods for Two Dimensional Incompressible Flows with Applications to Flows Around Circular Cylinders and Airfoils (Ph.D. Thesis), July 1992

View PDF (92-34) Russel Caflisch, Singularity Formation for Complex Solutions of the 3D Incompressible Euler Equations, July 1992

View PDF (92-33) Pierre Mascarenhas, Diffusion Generated Motion by Mean Curvature, July 1992

View PDF (92-32) Lixin Wu, The Analysis and Simulation of Low Mach Number Channel Flows, July 1992

View PDF (92-31) Amiram Harten and Itai Yad-Shalom, Fast Multiresolution Algorithms for Matrix-Vector Multiplication, July 1992 (Revised July 1993)

View PDF (92-30) Man-Chung Yeung and Raymond H. Chan, Circulant Preconditioners for Toeplitz Matrices with Piecewise Continuous Generating Functions, June 1992

View PDF (92-29) Tony F. Chan and Panayot S. Vassilevski, A Framework for Block-ILU Factorizations Using Block-Size Reduction, June 1992

View PDF (92-28) David L. Brown, M. Gregory Forest, Brian J. Miller and N. Anders Petersson, Numerical Existence and Stability of Fluxons in a Singularly Perturbed Sine-Gordon Model of the Josephson Junction, June 1992

View PDF (92-27) Xu-Dong Liu and Stanley Osher, Nonoscillatory High Ordder Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I, June 1992

View PDF (92-26) T. F. Chan, E. Gallopoulos, V. Simoncini, T. Szeto and C. H. Tong, QMRCGSTAB: A Quasi-Minimal Residual Variant of the BI-CGSTAB Algorithm for Nonsymmetric Systems, June 1992

View PDF (92-25) David G. Ebin, Global Solutions of the Equations of Elastodynamics of Incompressible Neo-Hookean Materials, June 1992

View PDF (92-24) Raymond H. Chan and Kwok-Po Ng, Toeplitz Preconditioners for Toeplitz Systems, May 1992

View PDF (92-23) David L. Chopp, Flow Under Geodesic Curvature, May 1992

View PDF (92-22) Gregory Baker, Russel E. Caflisch, and Michael Siegel, Singularity Formation During Rayleigh-Taylor Instability, May 1992

View PDF (92-21) Raymond H. Chan, Iterative Methods for Queueing Networks with Irregular State-spaces, May 1992

View PDF (92-20) F. Lafon and S. Osher, High Order 2D Non Oscillatory Methods for Solving Hamilton-Jacobi Scalar Equations, May 1992

View PDF (92-19) Roland W. Freund and Tedd Szeto, A Quasi-Minimal Residual Squared Algorithm for Non-Hermitian Linear Systems, April 1992

View PDF (92-18) Barry Merriman, James Bence and Stanley Osher, Diffusion Generated Motion by Mean Curvature, April 1992

View PDF (92-17) Raymond H. Chan, James G. Nagy and Robert J. Plemmons, FFT-Based Preconditioners for Toeplitz-Block Least Squares Problems, March 1992

View PDF (92-16) Raymond H. Chan and Ping Tak Peter Tang, Fast Band-Toeplitz Preconditioners for Toeplitz Systems, March 1992

View PDF (92-15) Raymond H. Chan, James G. Nagy and Robert J. Plemmons, Preconditioned Toeplitz Least Squares Iterations, March 1992

View PDF (92-14) Johan F. Malmliden and N. Anders Petersson, A Fast Iterative Method to Compute the Flow Around a Submerged Body, March 1992

View PDF (92-13) Charles G. Lange and Robert M. Miura, Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations VI. Small Shifts with Rapid Oscillations, March 1992

View PDF (92-12) Charles G. Lange and Robert M. Miura, Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations V. Small Shifts with Layer Behavior, March 199

(92-11) Tony F. Chan and Julia A. Olkin, Circulant Preconditioners for Toeplitz-Block Matrices, March 1992

View PDF (92-10) Bjorn Engquist, Stanley Osher and Sifen Zhong, Fast Wavelet Based Algorithms for Linear Evolution Equations, February 1992

View PDF (92-09) J.K. Tegner, Properties of Simple Model Problems for Reacting Gas Flows, February 1992

View PDF (92-08) Amiram Harten , Discrete Multi-Resolution Analysis and Generalized Wavelets, February 1992

View PDF (92-07) Tony F. Chan, Tarek P. Mathew and Jian-Ping Shao, Efficient Variants of the Vertex Space Domain Decomposition Algorithm, January 1992

View PDF (92-06) Tony F. Chan, Tarek P. Mathew and Jian-Ping Shao, Fourier and Probe Variants of the Vertex Space Domain Decomposition Algorithm, January 1992

View PDF (92-05) Tarek P. Mathew, Schwarz Alternating and Iterative Refinement Methods for Mixed Formulations of Elliptic Problems, Part II: Convergence Theory, January 1992

View PDF (92-04) Tarek P. Mathew, Schwarz Alternating and Iterative Refinement Methods for Mixed Formulations of Elliptic Problems, Part I: Algorithms and Numerical Results, January 1992

View PDF (92-03) J.T. Chayes, S.J. Osher, and J.V. Ralston, On Singular Diffusion Equations with Applications to Self-Organized Criticality, January 1992

View PDF (92-02) Jennifer Yu-Chung Chang, Comparison of Finite Difference and the Pseudo-Spectral Approximations for Hyperbolic Equations and Implementation Analysis on Parallel Computer CM-2, (Ph.D. Thesis), January 1992

View PDF (92-01) N. Anders Petersson, Computing Periodic Gravity Waves on Water by using Moving Composite Overlapping Grids, January 1992

1991

View PDF (91-28) Weijia Kuang and Paul H. Roberts, Resistive Instabilities in Rapidly Rotating Fluids: Linear Theory of the Convective Modes, December 1991

View PDF (91-27) Lixin Wu and Heinz-Otto Kreiss, Stability of the Difference Approximations for the Parabolic Initial Boundary Value Problems, October 1991

View PDF (91-26) Lixin Wu, The Semigroup Stability of the Difference Approximations for Initial Boundary Value Problems, October 1991

View PDF (91-25) Heinz O. Kreiss and Lixin Wu, On the Stability of Difference Approximations for the Initial Boundary Value Problem, October 1991

View PDF (91-24) M.B. Haeri, S.J. Putterman, A. Garcia, and P.H. Roberts, Quantum Wave Turbulence, October 1991

View PDF (91-23) R.N. Hills and P.H. Roberts, Relaxation Effects and the Evolution of a Mush, October 1991

View PDF (91-22) Vinh T. Ton, Ann R. Karagozian, Bjorn E. Engquist, and Stanley J. Osher, Numerical Simulation of Inviscid Detonation Waves with Finite Rate Chemistry, October 1991

View PDF (91-21) F. Lafon and S. Osher, Essentially Nonoscillatory Postprocessing Filtering Methods, September 1991

View PDF (91-20) June Margaret Donato, Iterative Methods for Scalar and Coupled Systems of Elliptic Equations (Ph.D. Thesis), September 1991

View PDF (91-19) Vincente F. Candela, Computation of Shift Operators in Orthonormal Compactly Supported Wavelet Bases, September 1991

View PDF (91-18) Antonio Marquina, Two-Dimensional Boundary Layer Equations: High Resolution Capturing Schemes, September 1991

View RPT (91-17) Tony F. Chan, Lisette DePillis, and Henk Van Der Vorst, A Transpose-Free Squared Lanczos Algorithm and Applications to Solving Nonsymmetric Linear Systems, September 1991

View PDF (91-16) Ami and Sukumar R. Chakravarthy, Multi-Dimensional ENO Schemes for General Geometries, August 1991

View PDF (91-15) Maria Elizabeth G. Ong, Linear Hierarchical Basis Preocnditioners in Three Dimensions, July 1991

View PDF (91-14) William J. Morokoff and Russel E. Caflisch, Quasi-Monte Carlo Integration, July 1991

View PDF (91-13) William J. Morokoff and Russel E. Caflisch, A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation, July 1991

(91-12) William J. Morokoff and Russel E. Caflisch, Quasi-Random Sequences and Their Discrepancies, July 1991

View PDF (91-11) Xu-Dong Liu, A Maximum Principle Satisfying Modification of Triangle Based Adaptive Stencils for the Solution of Hyperbolic Conservation Laws, June 1991

View PDF (91-10) Russel E. Caflisch and William J. Morokoff, Numerical Methods for Rarefied Gas Dynamics and Related Problems, June 1991

View PDF (91-09) Chi-Wang Shu, Gordon Erlebacher, Thomas A. Zang, David Whitaker, and Stanley Osher, High-Order ENO Schemes Applied to Two- and Three-Dimensional Compressible Flow, June 1991

View PDF (91-08) Tony F. Chan and Per Christian Hansen, Low-Rank Revealing QR Factorizations, May 1991

View PDF (91-07) R.N. Hills and P.H. Roberts, On the Motion of a Fluid that is Incompressible in a Generalized Sense and its Relationship to the Boussinesq Approximation, May 1991

View PDF (91-06) Russel E. Caflisch, Nicholas Ercolani, and Thomas Y. Hou, Multi-Valued Solution and Branch Point Singularities for Nonlinear Hyperbolic Systems, April 3, 1991

View PDF (91-05) Russel E. Caflisch, Analysis for the Evolution of Vortex Sheets, November 7, 1990

View PDF (91-04) Russel E. Caflisch, Singularities for Complex Hyperbolic Equations, October 1990

View PDF (91-03) Bjorn Engquist and Bjorn Sjogreen, Robust Difference Approximations of Stiff Inviscid Detonation Waves, March 1991

View PDF (91-02) Tony F.C. Chan and Tarek P. Mathew, The Boundary Probing Technique in Domain Decomposition, February 1991

View PDF (91-01) Elizabeth G. Ong, Uniform Refinement of a Tetrahedron, January 1991

1990

View PDF (90-32) Raymond H. Chan and Tony F. Chan, Circulant Preconditioners for Elliptic Problems, December 1990

View PDF (90-31) June M. Donato and Tony F. Chan, Fourier Analysis of Incomplete Factorization Preconditioners for 3D Anisotropic Problems, December 1990

View PDF (90-30) De-Kang Mao, A Treatment for Discontinuities for Finite Difference Methods in Two Dimensional Case, December 1990

View PDF (90-29) Charles Hok-Shun Tong, Parallel Preconditioned Conjugate Gradient Methods for Elliptic Partial Differential Equations, (Ph.D. Thesis), December 1990

View PDF (90-28) Weijia Kuang and Paul H. Roberts, Resistive Instabilities in Rapidly Rotating Fluids: Linear Theory of the g-Mode, December 1990

View PDF (90-27) C. K. Chu and C. C. Wu, Magnetohydrodynamic Shock Waves Revisited, November 1990

View PDF (90-26) Demetrios T. Papageorgiou and Yiorgos S. Smyrlis, The Route to Chaos for the Kuramoto-Sivashinksy Equation, November 1990

View PDF (90-25) Paul H. Roberts, Magnetoconvection Patterns in Rotating Convection Zones, November 1990

View PDF (90-24) Charles G. Lange and Donald R. Smith, Singular Perturbation Analysis of Integral Equations — Part II, October 1990

View PDF (90-23) Charles G. Lange and Hubertus J. Weinitschke, Singular Perturbations of Limit Points with Application to Tubular Chemical Reactors, October 1990

View PDF (90-22) Tony F. C. Chan and Tarek P. Mathew, An Application of the Probing Technique to the Vertex Space Method in Domain Decomposition, October 1990

View PDF (90-21) Per Christian Hansen and Tony F. Chan, Fortran Subroutines for General Toeplitz Systems, September 1990

View PDF (90-20) Charles H. Tong, Tony F. Chan and C.C. Jay Kuo, A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis, September 1990

View PDF (90-19) De-kang Mao, A Treatment for Discontinuitiex for Finite Difference Methods, September 1990

View PDF (90-18) Danny Goovaerts, Tony F. Chan and Robert Piessens, The Eigenvalue Spectrum of Domain Decomposed Preconditioners, May 1990

View PDF (90-17) Yann Brenier, Remarks on Some Linear Hyperbolic Equations with Oscillatory Coefficients, July 1990

View PDF (90-16) Christopher R. Anderson, HELM3: A Hierarchical Element Method in Three Dimensions, July 1990

View PDF (90-15) Christopher R. Anderson, HELM2: A Hierarchical Element Method in Two Dimensions, July 1990

View PDF (90-14) Christopher R. Anderson, An Implementation of the Fast Multipole Method Without Multipoles, July 1990

View PDF (90-13) Emad Fatemi, Carl L. Gardner, Joseph W. Jerome, Stanley Osher, and Donald J. Rose, Simulation of a STeady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods, June 1990

View PDF (90-12) Charles H. Tong, Tony F. Chan, C.C. Jay Kuo, Multilevel Filtering Preconditioners” Extensions to More General Elliptic Problem, May 1990

View PDF (90-11) Tony F. Chan and Per Christian Hansen, A Stable Levinson Algorithm for General Toeplitz Systems, May 1990

View PDF (90-10) Tony F. Chan, Hierarchical Algorithms and Architectures for Parallel Scientific Computing, April 1990

View PDF (90-09) Tony F. Chan and Per Christian Hansen, Some Applications of the Rank Revealing QR Factorization, May 1990

View PDF (90-08) R. N. Hills and P. H. Roberts, On the Life Cycle of a Mush, March 1990

View PDF (90-07) Weijia Kuang and Paul H. Roberts, Resistive Instabilities in Rapidly Rotating Fluids: Linear Theory of the Tearing Mode, March 1990.

View PDF (90-06) June M. Donato and Tony F. Chan, Fourier Analysis of Incomplete Factorization Preconditioners for 3D Anisotropic Problems, March 1990. (Revised October 1990).

View PDF (90-05) Tony F. Chan and Rod A. Fatoohi, Multitasking Domain Decomposition Fast Poisson Solvers on the Cray Y-MP, March 1990.

View PDF (90-04) Tony F. Chan and Gerard Meurant, Fourier Analysis of Block Preconditioners, February 1990.

View PDF (90-03) W. Mulder, S. Osher, and J.A. Sethian, Computing Interface Motion in Compressible Gas Dynamics, February 1990.

View PDF (90-02) F. Lafon and S. Osher, High Order Filtering Methods for Approximating Hyperbolic Systems of Conservation Laws, January 1990.

View PDF (90-01) Tony F. Chan, Weinan E and Jiachang Sun, Domain Decomposition Interface Preconditioners for Fourth Order Elliptic Problems, February 1990. (Revised Sept. 90).

1989

(89-33) Louis J. Durlofsky, Bjorn Engquist, and Stanley Osher, Triangle Based TVD Schemes for Hyperbolic Conservation Laws, December 1989.

View PDF (89-32) Stanley Osher and Chi-Wang Shu, High Order Essentially Non-Oscillatory Schemes for Hamilton-Jacobi Equations, December 1989.

(89-31) Maria Elizabeth Go Ong, Hierarchical Basis Preconditioners for Second Order Elliptic Problems in Three Dimensions (Ph.D. Thesis), November 1989.

View PDF (89-30) C.A. Jones and P.H. Roberts, Magnetoconvection in Rapidly Rotating Boussinesq and Compressible Fluids, October 1989.

View PDF (89-29) Tony F. Chan and Ray S. Tuminaro, Analysis of a Parallel Multigrid Algorithm, September 1989.

View PDF (89-28) Tony F. Chan and David E. Keyes, Interface Preconditionings for Domain-Decomposed Convection-Diffusion Operators, September 1989

View PDF (89-27) Tony F. Chan, Julia A. Olkin and Donald W. Cooley, Solving Quadratically Constrained Least Squares Using Black Box Unconstrained Solvers, September 1989

View PDF (89-26) Eric Barszcz, Tony F. Chan, Dennis C. Jespersen, and Raymond S. Tuminaro, Performance of a Parallel Code for the Euler Equations on Hypercube, September 1989

View PDF (89-25) Antonio Marquina, Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Conservation Laws, September 1989

View PDF (89-24) Ami Harten, From Artificial Viscosity to ENO Schemes, September 1989

View PDF (89-23) C.-C. Jay Kuo, Tony F. Chan and Charles Tong, Multilevel Filtering Elliptic Preconditioners, August 1989

View PDF (89-22) Per Christian Hansen, The Discrete Picard Condition for Discrete Ill-Posed Problems, July 1989

View PDF (89-21) B. Engquist and L. Halpern, Long Time Behavior of Absorbing Boundary Conditions, August 1989

(89-20) Tony F. Chan and Per Christian Hansen, A Stable Extension of Levinson’s Algorithm for Indefinite Toeplitz Systems, July 1989

View PDF (89-19) Georges-Henri Cottet, A Particle-Grid Superposition Method for the Navier-Stokes Equations, June 1989

View PDF (89-18) Hongyuan Zha and Per Christian Hansen, Regularization and the General Gauss-Markov Linear Model, July 1989

View PDF (89-17) Emad Fatemi, Joseph Jerome, and Stanley Osher, Solution of the Hydrodynamics Device Model Using High-Order Non-Oscillatory Shock Capturing Algorithms, June 1989

View PDF (89-16) Thomas Quint, On House Swapping with Money, June, 1989

(89-15) C.A. Jones, P.H. Roberts and D.J. Galloway, Compressible Convection in the Presence of Rotation and a Magnetic Field, May 1989

View PDF (89-14) R.N. Hills and P.H. Roberts, A Macroscopic Model of Phase Coarsening, April 1989

View PDF (89-13) R.E. Bank, T.F. Chan, W.M. Coughran, Jr., and R.K. Smith, The Alternate-Block-Factorization Procedure for Systems of Partial Differential Equations, May 1989

View PDF (89-12) Eric Barszcz, Tony F. Chan, Dennis C. Jespersen, and Raymond S. Tuminaro, Performance of an Euler Code on Hypercubes, March 1989

View PDF (89-11) Tony F. Chan, Thomas Y. Hou, and P.L. Lions, Geometry-Independent Convergence Results for Domain Decomposition Algorithms, May 1989

View PDF (89-10) Per Christian Hansen, Regularization, GSVD and Truncated GSVD, April 1989.

View PDF (89-09) Tony F. Chan, Domain Decomposition Algorithms and Computational Fluid Dynamics, April 1989. (Same as 88-25)

View PDF (89-08) Wim A. Mulder, A High-Resolution Euler Solver, April 1989.

View PDF (89-07) Bjorn Engquist and Bjorn Sjogreen, Numerical Approximation of Hyperbolic Conservation Laws with Stiff Terms, March 1989.

View PDF (89-06) Mao, De-Kang, A Treatment of Discontinuities in Shock Capturing Finite Difference Methods, February 1989.

View PDF (89-05) Wim A. Mulder, Multigrid, Alignment, and Euler’s Equation, February 1989.

View PDF (89-04) Per Christian Hansen, Truncated SVD Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank, February 1989.

View PDF (89-03) Per Christian Hansen, Relations Between SVD and GSVD of Discrete Regularization Problems in Standard and General Form, January 1989.

(89-02) Stanley Osher and Leonid Rudin, Feature-Oriented Image Enhancement Using Shock Filters, January 1989.

View PDF (89-01) Stanley Osher, The Nonconvex Multi-Dimensional Riemann Problem for Hamilton-Jacobi Equations, January 1989.

1988

View PDF (88-42) Georges-Henri Cottet, Boundary Conditions and Deterministic Vortex Methods for the Navier-Stokes Equations, August 1988.

View PDF (88-41) Stanley Osher and Chi-Wang Shu, Essentially Non-Oscillatory Shock Capturing Methods Applied to Turbulence Amplification in Shock Wave Calculations, August 1988.

View PDF (88-40) Bjorn Engquist and Quyen Quang Huynh, Iterative Preconditioned Gradient-Newton Type Methods for Modern Shock Computations, November 1988.

(88-39) R.N. Hills and P.H. Roberts, Healing and Relaxation in Flows of Helium II. V. Thermodynamic Potential and Applications, November 1988.

View PDF (88-38) Tony F. Chan, The Physics of the Parallel Machines, November 1988.

View PDF (88-37) Chris Anderson, Manipulating Fast Solvers — Changing Their Boundary Conditions and Putting Them on Multiple Processor Computers, November 1988

(88-36) Chris Anderson, Derivation and Solution of the Discrete Pressure Equations for the Incompressible Navier-Stokes Equations, November 1988

View PDF (88-35) Chris Anderson and Claude Greengard, The Vortex Ring Merger Problem at Infinite Reynolds Number, November 1988

View PDF (88-34) Tony Chan, Fourier Analysis of Blended Incomplete Factorization Preconditioners, November 1988., 2nd revision 10/89.

View PDF (88-33) Charles Tong, The Preconditioned Conjugate Gradient Method on the Connection Machine, October 1988 (revised February 1989).

(88-32) De-kang Mao, A Treatment of Discontinuities in Shock Capturing Finite Difference Methods I. Single Conservation Laws, October 1988

(88-31) Christopher R. Anderson, Domain Decomposition Techniques and the Solution of Poisson’s Equation in Infinite Domains, September 1988

View PDF (88-30) Christopher R. Anderson, Observations on Vorticity Creation Boundary Conditions, September 1988

View PDF (88-29) Tony F. Chan, Diana C. Resasco, Analysis of Domain Decomposition Preconditioners on L-Shaped and C-Shaped Regions, August 1988

(88-28) Huanan Yang, An Artificial Compression Method for ENO Schemes the Slope Modification Method, September 1988

View PDF (88-27) Haim Nessyahu and Eitan Tadmor, Non-Oscillatory Central Differencing for Hyperbolic Conservation Laws, September 1988

View PDF (88-26) Tony F. Chan, Boundary Probe Domain Decomposition Preconditioners for Fourth Order Problems, August 1988

View PDF (88-25) Tony F. Chan, Domain Decomposition Algorithms and Computational Fluid Dynamics, August 1988

(88-24) Thomas Quint, The Core of an m-Sided Assignment Game, August 1988

View PDF (88-23) Tony F. Chan and Danny Goovaerts, Schur Complement Domain Decomposition Algorithms for Spectral Methods, August 1988

View PDF (88-22) Tony F. Chan, C.-C. Jay Kuo and Charles Tong, Parallel Elliptic Preconditioners: Fourier Analysis and Performance on the Connection Machine, August 1988

(88-21) Tony Chan and Danny Goovaerts, Schwarz=Schur: Overlapping Versus Nonoverlapping Domain Decomposition, August 1988

View PDF (88-20) Laurence Halpern, Artificial Boundary Conditions for Incompletely Parabolic Perturbations of Hyperbolic Systems, June 1988

View PDF (88-19) R.-Q. Lin, Double Column Instabilities in the Barotropic Annulus, June 1988

View PDF (88-18) Tony F. Chan and Danny Goovaerts, A Note on the Efficiency of Domain Decomposed Incomplete Factorizations, Original title: Domain Decomposition Benefitial Even Sequentially, June 1988

View PDF (88-17) Yann Brenier, The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids, April 1988

View PDF (88-16) Tony Chan and Thomas Y. Hou, Domain Decomposition Preconditioners for General Second Order Elliptic Problems, June 1988

View PDF (88-15) C.-C. Jay Kuo and Tony F. Chan, Two-color Fourier Analysis of Iterative Algorithms for Elliptic Problems with Red/black Ordering, May 1988

View PDF (88-14) Edgar Katzer and Stanley Osher, Efficient Implementation of Essentially Non-Oscillatory Schemes for Systems of Nonlinear Hyperbolic Differential Equations, April 1988

View PDF (88-13) Xinming Lin, Tony F. Chan and Walter J. Karplus, The Fast Hartley Transform on the Hypercube Multiprocessors, April 1988

(88-12) Chi-Wang Shu and Stanley Osher, Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes, II, April 1988

View PDF (88-11) Charles G. Lange and Robert M. Miura, Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations IV. A Nonlinear Example with Layer Behavior, March 1988

View PDF (88-10) W.D. Henshaw, H.O. Kreiss and L.G. Reyna, On the Smallest Scale for the Incompressible Navier-Stokes Equations, March 1988

View PDF (88-09) Bjorn Engquist and Laurence Halpern, Far Field Boundary Conditions for Computation Over Long Time, March 1988

View PDF (88-08) Mao, De-kang, A Treatment of Discontinuity in Shock Capturing Finite Difference, March 1988

View PDF (88-07) S. J. Putterman and P. H. Roberts, Fokker-Planck Equation for Interacting Waves. Dispersion Law Renormalization and Wave Turbulence. March 1988

View PDF (88-06) Christopher Anderson, Claude Greengard and Michael Henderson, Instability, Vortex Shedding, and Numerical Convergence, March 1988

View PDF (88-05) Christopher Anderson and Claude Greengard, Vortex Ring Interaction by the Vortex Method, March 1988

View PDF (88-04) Wim A. Mulder, A New multigrid Approach to Convection Problems, March 1988

View PDF (88-03) Thomas Quint, An Algorithm to Find a Core Point for a Two-Sided Matching Model, March 1988

View PDF (88-02) C.-C. Jay Kuo and Bernard C. Levy, Two-Color Fourier Analysis of the Multigrid Method with Red/Black Gauss-Seidel Smoothing, January 1988

(88-01) Tony Chan, Second International Symposium on Domain Decomposition Methods, Book of Abstracts, January 1988

1987

View PDF (87-29) Thomas Quint, A Proof of the Nonemptiness of the Core of Two Sided Matching Markets, November 1987

View PDF (87-28) Marco Moshe Mostrel, On Some Numerical Schemes for Transonic Flow Problems, November 1987

(87-27) Bjorn Sjogreen, Shock Computations on Parallel Computers, September 1987

View PDF (87-26) Charles G. Lange and Hubertus J. Weinitschke, Singular Perturbations of Singular Points with Application to Tubular Chemical Reactors, September 1987

(87-25) Christopher Anderson and Claude Greengard, Core Flattening, Reconnection, and the Possibility of Singularity in the Ring Merger Problem, September 1987

View PDF (87-24) Björn Engquist, Per Lötstedt and Björn Sjögreen, Nonlinear Filters for Efficient Shock Computation, October 1987

(87-23) Report on Conference on Nonlinear Dynamics of Rotating Magnetic Systems

View PDF (87-22) R. N. Hills and P. H. Roberts, A Generalized Scheil-Pfann Equation for a Dynamical Theory of a Mushy Zone, August 1987

View PDF (87-21) R. N. Hills and P. H. Roberts, On the Formulation of Diffusive Mixture Theories for Two-Phase Regions, August 1987

View PDF (87-20) R. N. Hills and P. H. Roberts, On the Use of Fick’s Law in Regions of Mixed Phase, August 1987

(87-19) C.R. Anderson, The Application of Domain Decomposition to the Solution of Laplace’s Equation in Infinite Domains, October 1987

View PDF (87-18) Eitan Tadmor, The Convergence of Spectral Methods for Nonlinear Conservation Laws, August 1987

View PDF (87-17) C.-C. Jay Kuo and Bernard C. Levy, Mode-dependent Finite-difference Discretization of Linear Homogeneous Differential Equations, September 1987

View PDF (87-16) Tony F. Chan and Ray S. Tuminaro, A Survey of Parallel Multigrid Algorithms, July 1987

View PDF (87-15) Raymond H. Chan, The Spectrum of a Family of Circulant Preconditioned Toeplitz Systems, August 1987

View PDF (87-14) Andres Larraza, Universal Power Spectra for Wave Turbulence: Applications to Wind Waves, Flicker Noise, Solar Wind Spectrum, and Classical Second Sound, August 1987

View PDF (87-13) Ami Harten, ENO Schemes with Subcell Resolution, July 1987

(87-12) Stanley Osher and James A. Sethian, Fronts Propagating with Curvature Dependent Speed: Algorithms based on Hamilton-Jacobi Formulations, May 1987

View PDF (87-11) Chi-Wang Shu and Stanley Osher, Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes, February 1987

View PDF (87-10) Weinan E and Thomas Y. Hou, Convergence of the Vortex Method for Oscillatory Vorticity Fields, July 1987

View PDF (87-09) Tony F. Chan and Diana C. Resasco, A Framework for the Analysis and Construction of Domain Decomposition Preconditioners, June 1987

(87-08) Bjorn Engquist and Thomas Y. Hou, Computation of Oscillatory Solutions to Hyperbolic Differential Equations Using Particle Methods, July 1987

View PDF (87-07) Bjorn Engquist and Thomas Y. Hou, Particle Method Approximation of Oscillatory Solutions to Hyperbolic Differential Equations, July 1987

View PDF (87-06) Tony F. Chan, An Optimal Circulant Preconditioner for Toeplitz Systems, June 1987.

View PDF (87-05) Tony F. Chan and Diana C. Resasco, Analysis of Domain Decomposition Preconditioners on Irregular Regions, May 1987

View PDF (87-04) Tony F. Chan and Howard C. Elman, Fourier Analysis of Iterative Methods for Elliptic Problems, January 1987

View PDF (87-03) Tony F. Chan and David Foulser, Effective Condition Numbers for Linear Systems, August 1986 (revised February, 1987)

View PDF (87-02) Tony F. Chan, On Gray Code Mappings for Mesh-FFT’s on Binary N-Cubes, April, 1987

View PDF (87-01) Christopher R. Anderson, Vorticity Boundary Conditions and Boundary Vorticity Generation for Two Dimensional Viscous Incompressible Flows, April 1987

1986

View PDF (86-02) Charles Lange and Donald R. Smith, Singular Perturbation Analysis of Integral Equations, December 29 1986

View PDF (86-01) Tony F. Chan and Per Christian Hansen, Computing Truncated SVD Least Squares Solutions by Rank-Revealing Factorizations, November 1986, revised January 1989.