Journal: SIAM J. Scientific Computing

Volume 13, Issue 6

1265 -- 1286Yuhe Ren, Robert D. Russell. Moving Mesh Techniques Based upon Equidistribution, and Their Stability
1287 -- 1313Panayot S. Vassilevski, Svetozara I. Petrova, Raytcho D. Lazarov. Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement
1314 -- 1329Richard A. Smith, Alan Weiser. Semicoarsening Multigrid on a Hypercube
1330 -- 1346Stefan Vandewalle, Robert Piessens. Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations
1347 -- 1360George S. Fishman, Boris L. Granovsky, David S. Rubin. Evaluating Best-Case and Worst-Case Variances When Bounds are Available
1361 -- 1376Cheng Tu, Charles S. Peskin. Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
1377 -- 1393Michael Schäfer. Numerical Solution of the Time-Dependent Axisymmetric Boussinesq Equations on Processor Arrays
1394 -- 1417Hans Petter Langtangen. Stochastic Breakthrough Time Analysis of an Enhanced Oil Recovery Process
1418 -- 1432Prabir Daripa. A Fast Algorithm to Solve Nonhomogeneous Cauchy-Riemann Equations in the Complex Plane
1433 -- 1459Ivo Babuska, Howard C. Elman, K. Markley. Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture
1460 -- 1469Joel E. Dendy Jr., M. P. Ida, Jeffrey M. Rutledge. A Semicoarsening Multigrid Algorithm for SIMD Machines
1470 -- 1487Ta-Kang Ku, C. C. Jay Kuo. A Minimum-Phase LU Factorization Preconditioner for Toeplitz Matrices
1488 -- 1501Brynjulf Owren, Marino Zennaro. Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods

Volume 13, Issue 5

1039 -- 1061H. W. Tam. One-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations
1062 -- 1084H. W. Tam. Two-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations
1085 -- 1096Michael Weba. Simulation and Approximation of Stochastic Processes by Spline Functions
1097 -- 1122Peter Monk. A Comparison of Three Mixed Methods for the Time-Dependent Maxwell's Equations
1123 -- 1141Shmuel Rippa. Adaptive Approximation by Piecewise Linear Polynomials on Triangulations of Subsets of Scattered Data
1142 -- 1150Per Christian Hansen, Takashi Sekii, Hiromoto Shibahashi. The Modified Truncated SVD Method for Regularization in General Form
1151 -- 1172John R. Gilbert, Robert Schreiber. Highly Parallel Sparse Cholesky Factorization
1173 -- 1193Stavros A. Zenios, Mustafa Ç. Pinar. Parallel Block-Partitioning of Truncated Newton for Nonlinear Network Optimization
1194 -- 1217Pierre Hansen, Brigitte Jaumard, Gilles Savard. New Branch-and-Bound Rules for Linear Bilevel Programming
1218 -- 1235Raymond H. Chan, Xiao-qing Jin. A Family of Block Preconditioners for Block Systems
1236 -- 1264Efstratios Gallopoulos, Yousef Saad. Efficient Solution of Parabolic Equations by Krylov Approximation Methods

Volume 13, Issue 4

841 -- 859Xiaodong Zhang, Richard H. Byrd, Robert B. Schnabel. Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations
860 -- 873Mo-Hong Chou. An Efficient Scheme for Unsteady Flow Past an Object with Boundary Conformal to a Circle
874 -- 884Faiz A. Al-Khayyal, Thom J. Hodgson, Grant D. Capps, James A. Dorsch, David A. Kriegman, Paul D. Pavnica. Solution of Structured Geometric Programs in Sample Survey Design
885 -- 903Luca Dieci, Jens Lorenz. M-Matrices and Computation of Invariant Tori
904 -- 922Peter W. Glynn, Philip Heidelberger. Analysis of Initial Transient Deletion for Parallel Steady-State Simulations
923 -- 947Christopher R. Anderson. An Implementation of the Fast Multipole Method without Multipoles
948 -- 966Ta-Kang Ku, C. C. Jay Kuo. On the Spectrum of a Family of Preconditioned Block Toeplitz Matrices
967 -- 993William D. Gropp, David E. Keyes. Domain Decomposition with Local Mesh Refinement
994 -- 1008Herbert Edelsbrunner, Tiow Seng Tan, Roman Waupotitsch. 2 log n) Time Algorithm for the Minmax Angle Triangulation
1009 -- 1024Richard K. Beatson, E. Chacko. Which Cubic Spline should One Use?
1025 -- 1038Alan H. Vermeulen, Richard H. Bartels, Glenn R. Heppler. Integrating Products of B-Splines

Volume 13, Issue 3

655 -- 665Panayot S. Vassilevski, Maya H. Etova. Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy
666 -- 675M. van Veldhuizen. Approximation of the Invariant Manifold in the Josephson Equation
676 -- 686Clive Temperton. r
687 -- 693David W. Zingg, Maurice Yarrow. A Method of Smooth Bivariate Interpolation for Data Given on a Generalized Curvilinear Grid
694 -- 722Kendall E. Atkinson, Ivan G. Graham. Iterative Solution of Linear Systems Arising from the Boundary Integral Method
723 -- 726Chiara Puglisi. Modification of the Householder Method Based on the Compact WY Representation
727 -- 741Tony F. Chan, Per Christian Hansen. Some Applications of the Rank Revealing QR Factorization
742 -- 764Stephen J. Wright. Stable Parallel Algorithms for Two-Point Boundary Value Problems
765 -- 770Frank W. Letniowski. Three-Dimensional Delaunay Triangulations for Finite Element Approximations to a Second-Order Diffusion Operator
771 -- 793Thomas F. Coleman, Paul E. Plassmann. A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results
794 -- 814Myron B. Allen, Richard E. Ewing, Peng Lu. Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows
815 -- 825Kathryn Turner, Homer F. Walker. Efficient High Accuracy Solutions with GMRES(m)
826 -- 839Mo Mu, John R. Rice. A Grid-Based Subtree-Subcube Assignment Strategy for Solving Partial Differential Equations on Hypercubes

Volume 13, Issue 2

449 -- 458Steven M. Serbin. A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation
459 -- 483Márcia A. Gomes-Ruggiero, José Mario Martínez, Antônio Carlos Moretti. Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
484 -- 498John R. McMahon, Richard Franke. Knot Selection for Least Squares Thin Plate Splines
499 -- 511Harold R. Parks. Numerical Approximation of Parametric Oriented Area-Minimizing Hypersurfaces
512 -- 530Paul M. de Zeeuw. Nonlinear Multigrid Applied to a One-Dimensional Stationary Semiconductor Model
531 -- 540T. J. Harris, J. H. Davis. An Iterative Method for Matrix Spectral Factorization
541 -- 549Robert D. Russell, David M. Sloan, Manfred R. Trummer. On the Structure of Jacobians for Spectral Methods for Nonlinear Partial Differential Equations
550 -- 572Elizabeth R. Jessup, Ilse C. F. Ipsen. Improving the Accuracy of Inverse Iteration
573 -- 595Wei-Pai Tang. Generalized Schwarz Splittings
596 -- 610Michel O. Deville, Ernest H. Mund. Fourier Analysis of Finite Element Preconditioned Collocation Schemes
611 -- 630Philip L. Roe. Sonic Flux Formulae
631 -- 644Henk A. van der Vorst. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
645 -- 653Alex Pothen, Fernando L. Alvarado. A Fast Reordering Algorithm for Parallel Sparse Triangular Solution

Volume 13, Issue 1

0 -- 0Thomas A. Manteuffel, Linda R. Petzold. Special Issue on Iterative Methods in Numerical Linear Algebra
1 -- 29Steven F. Ashby, Thomas A. Manteuffel, James S. Otto. A Comparison of Adaptive Chebyshev and Least Squares Polynomial Preconditioning for Hermitian Positive Definite Linear Systems
30 -- 46Colin Desa, Kashmira M. Irani, Calvin J. Ribbens, Layne T. Watson, Homer F. Walker. Preconditioned Iterative Methods for Homotopy Curve Tracking
47 -- 70Mario Arioli, Iain S. Duff, Joseph Noailles, Daniel Ruiz. A Block Projection Method for Sparse Matrices
71 -- 87Francis X. Canning. Sparse Approximation for Solving Integral Equations with Oscillatory Kernels
88 -- 100Ray S. Tuminaro. A Highly Parallel Multigrid-Like Method for the Solution of the Euler Equations
101 -- 118Anita Mayo, Anne Greenbaum. Fast Parallel Iterative Solution of Poisson's and the Biharmonic Equations on Irregular Regions
119 -- 127Victor Pan, John H. Reif. Compact Multigrid
128 -- 145William D. Gropp, David E. Keyes. Parallel Performance of Domain-Decomposed Preconditioned Krylov Methods for PDEs with Locally Uniform Refinement
146 -- 167William F. Mitchell. Optimal Multilevel Iterative Methods for Adaptive Grids
168 -- 193Randall Bramley, Ahmed H. Sameh. Row Projection Methods for Large Nonsymmetric Linear Systems
194 -- 226Claude Pommerell, Marco Annaratone, Wolfgang Fichtner. A Set of New Mapping and Coloring Heuristics for Distributed-Memory Parallel Processors
227 -- 242Charles H. Tong, Tony F. Chan, C. C. Jay Kuo. Multilevel Filtering Preconditioners: Extensions to More General Elliptic Problems
243 -- 258Xiao-Chuan Cai, Olof B. Widlund. Domain Decomposition Algorithms for Indefinite Elliptic Problems
259 -- 288Wayne Joubert, Thomas A. Manteuffel, Seymour V. Parter, Sze-Ping Wong. Preconditioning Second-Order Elliptic Operators: Experiment and Theory
289 -- 306Otto Heinreichsberger, Siegfried Selberherr, Martin Stiftinger, Karl P. Traar. Fast Iterative Solution of Carrier Continuity Equations for Three-Dimensional Device Simulation
307 -- 318Ulrich Rüde. The Hierarchical Basis Extrapolation Method
319 -- 338June M. Donato, Tony F. Chan. Fourier Analysis of Incomplete Factorization Preconditioners for Three-Dimensional Anisotropic Problems
339 -- 363Howard C. Elman, Gene H. Golub. Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems
364 -- 378Barry F. Smith. An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems
379 -- 396Charbel Farhat, François-Xavier Roux. An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems
397 -- 410James H. Bramble, Richard E. Ewing, Rossen R. Parashkevov, Joseph E. Pasciak. Domain Decomposition Methods for Problems with Partial Refinement
411 -- 424Hans D. Mittelmann, Cindy C. Law, Daniel F. Jankowski, G. Paul Neitzel. A Large, Sparse, and Indefinite Generalized Eigenvalue Problem from Fluid Mechanics
425 -- 448Roland W. Freund. Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices