Journal: SIAM J. Scientific Computing

Volume 16, Issue 6

1241 -- 1252Mark H. Carpenter, David I. Gottlieb, Saul Abarbanel, Wai-Sun Don. The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
1253 -- 1268Wai-Sun Don, Alex Solomonoff. Accuracy and Speed in Computing the Chebyshev Collocation Derivative
1269 -- 1291Anwei Liu, Barry Joe. Quality Local Refinement of Tetrahedral Meshes Based on Bisection
1292 -- 1307Barry Joe. Construction of Three-Dimensional Improved-Quality Triangulations Using Local Transformations
1308 -- 1332Ning Hu, I. Norman Katz. P-Version of the Finite Element Analysis
1333 -- 1348Donald J. McGillen. A Particle Scheme Incorporating an Elliptic Approximation for the Relativistic Vlasov-Maxwell System
1349 -- 1366D. M. Gritsis, Constantinos C. Pantelides, R. W. H. Sargent. Optimal Control of Systems Described by Index Two Differential-Algebraic Equations
1367 -- 1386K. F. C. Yiu. On the Optimal Control Method for Airfoil and Cascade Analysis
1387 -- 1403Laurent Desbat, Didier Girard. The "Minimum Reconstruction Error" Choice of Regularization Parameters: Some More Efficient Methods and Their Application to Deconvolution Problems
1404 -- 1411Cleve Ashcraft. Compressed Graphs and the Minimum Degree Algorithm
1412 -- 1427Robert J. Renka, J. W. Neuberger. Minimal Surfaces and Sobolev Gradients
1428 -- 1450Trond Mannseth. An Analysis of the Robustness of Some Incomplete Factorizations
1451 -- 1461Pierluigi Amodio, Francesca Mazzia. A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems
1462 -- 1477Padma Raghavan. Distributed Sparse Gaussian Elimination and Orthogonal Factorization
1478 -- 1511Mario Arioli, Iain S. Duff, Daniel Ruiz, Miloud Sadkane. Block Lanczos Techniques for Accelerating the Block Cimmino Method

Volume 16, Issue 5

1019 -- 1048Francis Collino, Patrick Joly. Splitting of Operators, Alternate Directions, and Paraxial Approximations for the Three-Dimensional Wave Equation
1049 -- 1070Ronnie Wallace, David M. Sloan. Numerical Solution of a Nonlinear Dissipative System Using a Pseudospectral Method and Inertial Manifolds
1071 -- 1081Bengt Fornberg. A Pseudospectral Approach for Polar and Spherical Geometries
1082 -- 1091C. Leonard Berman. Grid-Multipole Calculations
1092 -- 1104Shlomo Ta'asan, Hong Zhang. On the Multigrid Waveform Relaxation Method
1105 -- 1125Michael Griebel. Parallel Domain-Oriented Multilevel Methods
1126 -- 1136Graham F. Carey, Atanas I. Pehlivanov, Panayot S. Vassilevski. Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods
1137 -- 1158Mark W. Reichelt, Jacob K. White, Jonathan Allen. Optimal Convolution SOR Acceleration of Waveform Relaxation with Application to Parallel Simulation of Semiconductor Devices
1159 -- 1176Michele Benzi, Carl Dean Meyer. A Direct Projection Method for Sparse Linear Systems
1177 -- 1189Erik S. Van Vleck. Numerical Shadowing Near Hyperbolic Trajectories
1190 -- 1208Richard H. Byrd, Peihuang Lu, Jorge Nocedal, Ciyou Zhu. A Limited Memory Algorithm for Bound Constrained Optimization
1209 -- 1232Lars-Erik Andersson, Tommy Elfving. Best Constrained Approximation in Hilbert Space and Interpolation by Cubic Splines Subject to Obstacles
1233 -- 1239David H. Bailey, Paul N. Swarztrauber. Efficient Detection of a Continuous-Wave Signal with a Linear Frequency Drift

Volume 16, Issue 4

755 -- 772James Hilditch, Phillip Colella. A Front Tracking Method for Compressible Flames in One Dimension
773 -- 797Tim N. Phillips, Alaeddin Malek. Multidomain Collocation Methods for the Stream Function Formulation of the Navier-Stokes Equations
798 -- 818L. L. Stell, S. F. Shen. A Fixed Domain Method for Injection Governed by the Stokes Equations
819 -- 839John A. Trangenstein. Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids
840 -- 847Leonid Y. Zaslavsky. An Adaptive Algebraic Multigrid for Reactor Criticality Calculations
848 -- 864Graham Horton, Stefan Vandewalle. A Space-Time Multigrid Method for Parabolic Partial Differential Equations
865 -- 897Michael A. Epton, Benjamin Dembart. Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
898 -- 916Alain Sei. A Family of Numerical Schemes for the Computation of Elastic Waves
917 -- 933Valeria Simoncini, Efstratios Gallopoulos. An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
934 -- 950Fredrik Manne, Hjálmtyr Hafsteinsson. Efficient Sparse Cholesky Factorization on a Massively Parallel SIMD Computer
951 -- 955Xiao-qing Jin. A Note on Preconditioned Block Toeplitz Matrices
956 -- 973Roy Mathias. The Instability of Parallel Prefix Matrix Multiplication
974 -- 991Guido M. Cortelazzo, Gian Antonio Mian, M. Morandini. Rational Multiple Criterion Approximation and Rational Complex Approximation by Differential Correction-Type Algorithms
992 -- 1017John Strain. Locally Corrected Multidimensional Quadrature Rules for Singular Functions

Volume 16, Issue 3

513 -- 530Roland Hunt. Three-Dimensional Flow in a General Tube Using a Combination of Finite and Pseudospectral Discretisations
531 -- 541Graham Horton, Stefan Vandewalle, Patrick H. Worley. An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations
542 -- 557Morten Bjørhus. The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method
558 -- 580Martin Berzins. Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions
581 -- 600Francesc Aràndiga, Vicente F. Candela, Rosa Donat. Fast Multiresolution Algorithms for Solving Linear Equations: A Comparative Study
601 -- 635Thomas A. Manteuffel, Stephen F. McCormick, J. Morel, S. Oliveira, G. Yang. A Fast Multigrid Algorithm for Isotropic Transport Problems I: Pure Scattering
636 -- 650Takumi Washio, Ken Hayami. Overlapped Multicolor MILU Preconditioning
651 -- 681Kendall E. Atkinson, David Da-Kwun Chien. Piecewise Polynomial Collocation for Boundary Integral Equations
682 -- 697Fabio Di Benedetto. Analysis of Preconditioning Techniques for Ill-Conditioned Toeplitz Matrices
698 -- 719Ebrahim M. Kasenally. GMBACK: A Generalised Minimum Backward Error Algorithm for Nonsymmetric Linear Systems
720 -- 737Weiwei Sun. Iterative Algorithms for Orthogonal Spline Collocation Linear Systems
738 -- 753Jan M. ten Vregelaar. On Computing Objective Function and Gradient in the Context of Least Squares Fitting a Dynamic Errors-In-Variables Model

Volume 16, Issue 2

257 -- 270Stephen L. Campbell, E. Griepentrog. Solvability of General Differential Algebraic Equations
271 -- 288Markus Hegland. An Implementation of Multiple and Multivariate Fourier Transforms on Vector Processors
289 -- 306Mo Mu. A New Family of Preconditioners for Domain Decomposition
307 -- 319Joel E. Dendy Jr., Claudine C. Tazartes. Grandchild of the Frequency Decomposition Multigrid Method
320 -- 329Aslak Tveito, Ragnar Winther. The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute
330 -- 347Bernard Bialecki, Graeme Fairweather. Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems
348 -- 377Randall J. LeVeque, Keh-Ming Shyue. One-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods
378 -- 399Mardochée Magolu monga Made. Ordering Strategies for Modified Block Incomplete Factorizations
400 -- 413Nicholas J. Higham. Stability of Parallel Triangular System Solvers
414 -- 430Wlodzimierz Proskurowski, Panayot S. Vassilevski. Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding
431 -- 451Bernard Bialecki, Karin A. Remington. Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems
452 -- 469Bruce Hendrickson, Robert W. Leland. An Improved Spectral Graph Partitioning Algorithm for Mapping Parallel Computations
470 -- 495Ramesh Natarajan. Domain Decomposition Using Spectral Expansions of Steklov-Poincaré Operators
496 -- 499Leonid Gurvits, Anne Greenbaum. A Further Note on Max-Min Properties of Matrix Factor Norms
500 -- 505John M. Conroy, Louis J. Podrazik. A Parallel Inertia Method for Finding Eigenvalues on Vector and SIMD Architectures
506 -- 512Per Christian Hansen. Test Matrices for Regularization Methods

Volume 16, Issue 1

1 -- 19San-Yih Lin, Yan-Shin Chin, Tsuen-Muh Wu. A Modified Penalty Method for Stokes Equations and Its Applications to Navier-Stokes Equations
20 -- 28Achi Brandt, Vladimir Mikulinsky. On Recombining Iterants in Multigrid Algorithms and Problems with Small Islands
29 -- 39J. C. Diaz, K. Shenoi. Domain Decomposition and Schur Complement Approaches to Coupling the Well Equations in Reservoir Simulation
40 -- 49Rolf Jeltsch, Bert Pohl. Waveform Relaxation with Overlapping Splittings
50 -- 73Xiang-Gen Xia, C. C. Jay Kuo, Zhen Zhang. Signal Extrapolation in Wavelet Subspaces
74 -- 87Jie Shen. Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
88 -- 118Jean-Antoine Désidéri, Pieter W. Hemker. Convergence Analysis of the Defect-Correction Iteration for Hyperbolic Problems
119 -- 138Michael R. Osborne, Gordon K. Smyth. A Modified Prony Algorithm for Exponential Function Fitting
139 -- 150Anders Forsgren, Philip E. Gill, Walter Murray. Computing Modified Newton Directions Using a Partial Cholesky Factorization
151 -- 168Robert I. McLachlan. On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
169 -- 172Hao Lu. A Uniform-Consistency Barrier on Finite-Difference Schemes of Positive Type for Convection-Diffusion Equations
173 -- 191Giuseppe Gambolati, Giorgio Pini, Mario Putti. Nested Iterations for Symmetric Eigenproblems
192 -- 209Chris Fraley, Patrick J. Burns. Large-Scale Estimation of Variance and Covariance Components
210 -- 227Joseph M. Maubach. N-Simplicial Grids Generated by Reflection
228 -- 249Igor E. Kaporin, Owe Axelsson. On a Class of Nonlinear Equation Solvers Based on the Residual Norm Reduction over a Sequence of Affine Subspaces
250 -- 256Xiao-Chuan Cai. The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes