Journal: SIAM J. Scientific Computing

Volume 21, Issue 6

1969 -- 1972Malcolm F. Murphy, Gene H. Golub, Andrew J. Wathen. A Note on Preconditioning for Indefinite Linear Systems
1973 -- 1986Michael K. Ng. Preconditioned Lanczos Methods for the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
1987 -- 1990Gunther Reissig, Wade S. Martinson, Paul I. Barton. Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index
1991 -- 2007Yvan Notay. Optimal Order Preconditioning of Finite Difference Matrices
2008 -- 2028Mardochée Magolu monga Made, Yvan Notay. Dynamically Relaxed Block Incomplete Factorizations for Solving Two- and Three-Dimensional Problems
2029 -- 2047Patrick M. Knupp, Nicolas Robidoux. A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms
2048 -- 2072Bruce Hendrickson, Tamara G. Kolda. Partitioning Rectangular and Structurally Unsymmetric Sparse Matrices for Parallel Processing
2073 -- 2095Giovanni Russo, Peter Smereka. A Level-Set Method for the Evolution of Faceted Crystals
2096 -- 2113Alv-Arne Grimstad, Trond Mannseth. Nonlinearity, Scale, and Sensitivity for Parameter Estimation Problems
2114 -- 2125Kari Brusdal, Trond Mannseth. Basis Norm Rescaling for Nonlinear Parameter Estimation
2126 -- 2143Guang-Shan Jiang, Danping Peng. Weighted ENO Schemes for Hamilton-Jacobi Equations
2144 -- 2162Eberhard Bänsch, Burkhard Höhn. Numerical Treatment of the Navier-Stokes Equations with Slip Boundary Condition
2163 -- 2186Chi-Tien Lin, Eitan Tadmor. High-Resolution Nonoscillatory Central Schemes for Hamilton-Jacobi Equations
2187 -- 2205Lars Eldén, Fredrik Berntsson, Teresa Reginska. Wavelet and Fourier Methods for Solving the Sideways Heat Equation
2206 -- 2224Stig Skelboe. Accuracy of Decoupled Implicit Integration Formulas
2225 -- 2239Roberto Barrio. Parallel Algorithms to Evaluate Orthogonal Polynomial Series
2240 -- 2256James Glimm, John W. Grove, Xiaolin Li 0002, Dechun Tan. Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
2257 -- 2274Horst D. Simon, Hongyuan Zha. Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications
2275 -- 2294Desmond J. Higham, A. R. Humphries, R. J. Wain. Phase Space Error Control for Dynamical Systems
2295 -- 2315Wade S. Martinson, Paul I. Barton. A Differentiation Index for Partial Differential-Algebraic Equations
2316 -- 2330David Colton, Klaus Giebermann, Peter Monk. A Regularized Sampling Method for Solving Three-Dimensional Inverse Scattering Problems
2331 -- 2351Alan George, Lan Chieh Huang, Wei-Pai Tang, Ya Dan Wu. Numerical Simulation of Unsteady Incompressible Flow (\em Re \protect\boldmath $\leq$ 9500) on the Curvilinear Half-Staggered Mesh
2352 -- 2380Jan S. Hesthaven, C. H. Teng. Stable Spectral Methods on Tetrahedral Elements
2381 -- 2395John W. Ruge, Yong Li, Steve F. McCormick, Achi Brandt, J. R. Bates. A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere

Volume 21, Issue 5

0 -- 0Howard C. Elman. Special Issue on Iterative Methods for Solving Systems of Algebraic Equations
1657 -- 1669Susanne C. Brenner. Lower Bounds for Two-Level Additive Schwarz Preconditioners with Small Overlap
1670 -- 1690Cornelis W. Oosterlee, Takumi Washio. Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows
1691 -- 1705Tugrul Dayar, William J. Stewart. Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains
1706 -- 1727Zhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick. First-Order System Least Squares For Linear Elasticity: Numerical Results
1728 -- 1739Zhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick. First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results
1740 -- 1754Jussi Rahola. On the Eigenvalues of the Volume Integral Operator of Electromagnetic Scattering
1755 -- 1773Jo Simoens, Stefan Vandewalle. Waveform Relaxation with Fast Direct Methods as Preconditioner
1774 -- 1789Rodolfo Bermejo, Juan-Antonio Infante. p-Laplacian
1790 -- 1803Ananth Grama, Vivek Sarin, Ahmed H. Sameh. Improving Error Bounds for Multipole-Based Treecodes
1804 -- 1822Edmond Chow. A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
1823 -- 1834Peter N. Brown, Robert D. Falgout, Jim E. Jones. Semicoarsening Multigrid on Distributed Memory Machines
1835 -- 1850William R. Ferng, Carl T. Kelley. Mesh Independence of Matrix-Free Methods for Path Following
1851 -- 1868Michele Benzi, Miroslav Tuma. Orderings for Factorized Sparse Approximate Inverse Preconditioners
1869 -- 1885Gerhard Starke. Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface Flow Problems
1886 -- 1908Andrew J. Cleary, Robert D. Falgout, Henson Van Emden, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, Gerald N. Miranda, John W. Ruge. Robustness and Scalability of Algebraic Multigrid
1909 -- 1926Yousef Saad, Manshung Yeung, Jocelyne Erhel, Frédéric Guyomarc'h. A Deflated Version of the Conjugate Gradient Algorithm
1927 -- 1949Barry Lee, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge. First-Order System Least-Squares for the Helmholtz Equation
1950 -- 1968Klaus Lackner, Ralph Menikoff. Multiscale Linear Solvers for Very Large Systems Derived from PDES

Volume 21, Issue 4

1199 -- 1221Ali Bouaricha, Robert B. Schnabel. Tensor Methods for Large, Sparse Nonlinear Least Squares Problems
1222 -- 1243Gene H. Golub, Peyman Milanfar, James M. Varah. A Stable Numerical Method for Inverting Shape from Moments
1244 -- 1262Uri M. Ascher, Ping Lin. Sequential Regularization Methods for Simulating Mechanical Systems with Many Closed Loops
1263 -- 1290Man-Chung Yeung, Tony F. Chan. k)BiCGSTAB: A BiCGSTAB Variant Based on Multiple Lanczos Starting Vectors
1291 -- 1304Adam W. Bojanczyk, Adam Lutoborski. The Procrustes Problem for Orthogonal Stiefel Matrices
1305 -- 1320Gene H. Golub, Qiang Ye. Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration
1321 -- 1336David A. Kay, David J. Silvester. A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
1337 -- 1356Yousef Saad, Maria Sosonkina. Distributed Schur Complement Techniques for General Sparse Linear Systems
1357 -- 1369Achi Brandt, Moshe Israeli, Irad Yavneh, Andrew Siegel. Multigrid Solution of an Elliptic Boundary-Value Problem with Integral Constraints
1370 -- 1386Dalin Tang, Jun Yang. A Free Moving Boundary Model and Boundary Iteration Method for Unsteady Viscous Flow in Stenotic Elastic Tubes
1387 -- 1400Tony W. H. Sheu, Morten M. T. Wang, S.-F. Tsai. Element-by-Element Parallel Computation of Incompressible Navier-Stokes Equations in Three Dimensions
1401 -- 1418Thilo Penzl. A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
1419 -- 1434Erik Adler Christensen., Morten Brøns, Jens Nørkær Sørensen. Evaluation of Proper Orthogonal Decomposition-Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows
1435 -- 1457Jens Struckmeier. A Steady-State Particle Method for the Boltzmann Equation
1458 -- 1464James S. Ball. Automatic Computation of Zeros of Bessel Functions and Other Special Functions
1465 -- 1484Carsten Carstensen, Stefan A. Funken. Fully Reliable Localized Error Control in the FEM
1485 -- 1505Olivier du Merle, Pierre Hansen, Brigitte Jaumard, Nenad Mladenovic. An Interior Point Algorithm for Minimum Sum-of-Squares Clustering
1506 -- 1523S. H. Lui. On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
1524 -- 1550Sverker Holmgren, Henrik Brandén, Erik Sterner. Convergence Acceleration for the Linearized Navier-Stokes Equations using Semicirculant Approximations
1551 -- 1566Jingfang Huang, Leslie Greengard. A Fast Direct Solver for Elliptic Partial Differential Equations on Adaptively Refined Meshes
1567 -- 1586Peter K. Moore. An Adaptive Finite Element Method for Parabolic Differential Systems: Some Algorithmic Considerations in Solving in Three Space Dimensions
1587 -- 1608V. Sirotkin, P. Tarvainen. Overlapping Schwarz Methods for a Singularly Perturbed Semilinear Elliptic Problem and Their Parallel Implementation
1609 -- 1631Donald J. Estep, Dewey H. Hodges, Michael Warner. Computational Error Estimation and Adaptive Error Control for a Finite Element Solution of Launch Vehicle Trajectory Problems
1632 -- 1649Wing Lok Wan, Tony F. Chan, Barry Smith. An Energy-minimizing Interpolation for Robust Multigrid Methods
1650 -- 1656Wolfgang Mackens, Heinrich Voss. Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix by Newton-type Methods

Volume 21, Issue 3

799 -- 818Friedrich K. Hebeker, Rolf Rannacher. An Adaptive Finite Element Method for Unsteady Convection-Dominated Flows with Stiff Source Terms
819 -- 835Christopher R. Anderson, Archie C. Li. Integral Equation Preconditioning for the Solution of Poisson's Equation on Geometrically Complex Regions
836 -- 850Tony F. Chan, Michael K. Ng. Galerkin Projection Methods for Solving Multiple Linear Systems
851 -- 866Michael K. Ng, Raymond H. Chan, Wun-Cheung Tang. A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
867 -- 882Robert Bridson, Wei-Pai Tang. Ordering, Anisotropy, and Factored Sparse Approximate Inverses
883 -- 899Piero Barone. Fast Deconvolution by a Two-Step Method
900 -- 923Petr Vanek, Marian Brezina, Radek Tezaur. Two-grid Method for Linear Elasticity on Unstructured Meshes
924 -- 953Ta-Hsin Li. Multiscale Representation and Analysis of Spherical Data by Spherical Wavelets
954 -- 969Dimitris J. Kavvadias, F. S. Makri, Michael N. Vrahatis. Locating and Computing Arbitrarily Distributed Zeros
970 -- 986Tahar Amari, Jean-François Luciani, Patrick Joly. A Preconditioned Semi-Implicit Method for Magnetohydrodynamics Equations
987 -- 1005Markus Hegland, Margaret Kahn, Michael R. Osborne. A Parallel Algorithm for the Reduction to Tridiagonal Form for Eigendecomposition
1006 -- 1026Albert Cohen 0002, Roland Masson. Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity
1027 -- 1044Eric Barth, Benedict J. Leimkuhler, Sebastian Reich. A Time-Reversible Variable-Stepsize Integrator for Constrained Dynamics
1045 -- 1065Uri M. Ascher, Sebastian Reich. The Midpoint Scheme and Variants for Hamiltonian Systems: Advantages and Pitfalls
1066 -- 1084Monika Nitsche. Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral
1085 -- 1101Ilaria Perugia, Valeria Simoncini, Mario Arioli. Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems
1102 -- 1114Paul A. Milewski, Esteban G. Tabak. A PseudoSpectral Procedure for the Solution of Nonlinear Wave Equations with Examples from Free-Surface Flows
1115 -- 1145Richard Saurel, Rémi Abgrall. A Simple Method for Compressible Multifluid Flows
1146 -- 1167Tobin A. Driscoll, Bengt Fornberg. Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case
1168 -- 1190Yair Shapira. Multigrid for Locally Refined Meshes
1191 -- 1198Homer F. Walker. An Adaptation of Krylov Subspace Methods to Path Following Problems

Volume 21, Issue 2

405 -- 420Mats Holmström. Solving Hyperbolic PDEs Using Interpolating Wavelets
421 -- 440Boris N. Khoromskij, G. E. Mazurkevich, Gabriel Wittum. Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers
441 -- 454Shi Jin. Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
455 -- 472Claude Manté. The Use of Regularization Methods in Computing Radon-Nikodým Derivatives. Application to Grain-Size Distributions
473 -- 501Achi Brandt, Boris Diskin. Multigrid Solvers for Nonaligned Sonic Flows
502 -- 521Pierre-Alain Gremaud, Nicholas R. Ide. Computation of Nonclassical Solutions to Hamilton-Jacobi Problems
522 -- 551Weiming Cao, Benqi Guo. p-Version Finite Element Method and Spectral Element Method
552 -- 564Do Y. Kwak. V-Cycle Multigrid for Cell-Centered Finite Differences
565 -- 590Arnold Reusken. On the Approximate Cyclic Reduction Preconditioner
591 -- 619Gabriel J. Lord, Alan R. Champneys, G. W. Hunt. Computation of Homoclinic Orbits in Partial Differential Equations: An Application to Cylindrical Shell Buckling
620 -- 645Feng Wang, Jinchao Xu. A Crosswind Block Iterative Method for Convection-Dominated Problems
646 -- 665N. Anders Petersson. Hole-Cutting for Three-Dimensional Overlapping Grids
666 -- 690Changqing Hu, Chi-Wang Shu. A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations
691 -- 710Dana A. Knoll, William J. Rider. A Multigrid Preconditioned Newton-Krylov Method
711 -- 727Sergio Blanes, Fernando Casas, José Ros. Symplectic Integration with Processing: A General Study
728 -- 746Slimane Adjerid, Belkacem Belguendouz, Joseph E. Flaherty. A Posteriori Finite Element Error Estimation for Diffusion Problems
747 -- 763S. N. Papakostas, Charalampos Tsitouras. High Phase-Lag-Order Runge-Kutta and Nyström Pairs
764 -- 781Claude Brezinski. Error Estimates for the Solution of Linear Systems
782 -- 791Hongyuan Zha, Horst D. Simon. On Updating Problems in Latent Semantic Indexing
792 -- 797Xiao-Chuan Cai, Marcus Sarkis. A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems

Volume 21, Issue 1

1 -- 23Mary Ann Branch, Thomas F. Coleman, Yuying Li. A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems
24 -- 45Chih-Jen Lin, Jorge J. Moré. Incomplete Cholesky Factorizations with Limited Memory
46 -- 66Tony F. Chan, Susie Go, Jun Zou. Boundary Treatments for Multilevel Methods on Unstructured Meshes
67 -- 87Janis Hardwick, Quentin F. Stout. Using Path Induction to Evaluate Sequential Allocation Procedures
88 -- 110Misha E. Kilmer, Dianne P. O'Leary. Pivoted Cauchy-Like Preconditioners for Regularized Solution of Ill-Posed Problems
111 -- 128J. A. C. Weideman. Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform
129 -- 144Edward Rothberg, Robert Schreiber. Efficient Methods for Out-of-Core Sparse Cholesky Factorization
145 -- 165So-Hsiang Chou, Do Y. Kwak, Panayot S. Vassilevski. Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
166 -- 206Semyon Tsynkov. External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics
207 -- 226Barbara Zubik-Kowal, Stefan Vandewalle. Waveform Relaxation for Functional-Differential Equations
227 -- 254Wayne H. Enright, Paul H. Muir. Superconvergent Interpolants for the Collocation Solution of Boundary Value Ordinary Differential Equations
255 -- 282Thomas Fevens, Hong Jiang. Absorbing Boundary Conditions for the Schrödinger Equation
283 -- 293Nhu Nguyen, Qing Huo Liu. The Regular Fourier Matrices and Nonuniform Fast Fourier Transforms
294 -- 322Franca Bianco, Gabriella Puppo, Giovanni Russo. High-Order Central Schemes for Hyperbolic Systems of Conservation Laws
323 -- 339Felice Iavernaro, Francesca Mazzia. Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
340 -- 365Arun In. Numerical Evaluation of an Energy Relaxation Method for Inviscid Real Fluids
366 -- 377M. De Cicco, Sauro Succi, Gino Bella. Nonlinear Stability of Compressible Thermal Lattice BGK Models
378 -- 403David J. Torres, Evangelos A. Coutsias. Pseudospectral Solution of the Two-Dimensional Navier-Stokes Equations in a Disk