Journal: SIAM J. Scientific Computing

Volume 19, Issue 6

1767 -- 1782Franciszek A. Dul. MINRES and MINERR Are Better than SYMMLQ in Eigenpair Computations
1783 -- 1803Tobin A. Driscoll, Stephen A. Vavasis. Numerical Conformal Mapping Using Cross-Ratios and Delaunay Triangulation
1804 -- 1826Tomasz Hrycak, Vladimir Rokhlin. An Improved Fast Multipole Algorithm for Potential Fields
1827 -- 1846Wenlong Dai, Paul R. Woodward. A High-Order Iterative Implicit-Explicit Hybrid Scheme for Magnetohydrodynamics
1847 -- 1869K. Ito, S. S. Ravindran. Optimal Control of Thermally Convected Fluid Flows
1870 -- 1891William J. Layton, Joseph M. Maubach, Patrick J. Rabier. Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems
1892 -- 1917Guang-Shan Jiang, Eitan Tadmor. Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
1918 -- 1940Chen Greif, James M. Varah. Iterative Solution of Cyclically Reduced Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation
1941 -- 1957Luca F. Pavarino. Preconditioned Mixed Spectral Element Methods for Elasticity and Stokes Problems
1958 -- 1979Jean Michel Fiard, Thomas A. Manteuffel, Stephen F. McCormick. First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical Results
1980 -- 2013Leland Jameson. A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
2014 -- 2031Martin J. Gander, Andrew M. Stuart. Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
2032 -- 2050Axel Klar. Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations
2051 -- 2060Martin Berzins. A Solution-Based Triangular and Tetrahedral Mesh Quality Indicator
2061 -- 2090Francis Collino, Peter Monk. The Perfectly Matched Layer in Curvilinear Coordinates
2091 -- 2110John R. Gilbert, Gary L. Miller, Shang-Hua Teng. Geometric Mesh Partitioning: Implementation and Experiments

Volume 19, Issue 5

1405 -- 1427Philip Roe. Linear Bicharacteristic Schemes Without Dissipation
1428 -- 1449Richard K. Beatson, Garry N. Newsam. Fast Evaluation of Radial Basis Functions: Moment-Based Methods
1450 -- 1470Ramesh Natarajan. An Iterative Scheme for Dense, Complex-Symmetric, Linear Systems in Acoustics Boundary-Element Computations
1471 -- 1485Maya Neytcheva, Panayot S. Vassilevski. Preconditioning of Indefinite and Almost Singular Finite Element Elliptic Equations
1486 -- 1494Gregorio Quintana-Ortí, Xiaobai Sun, Christian H. Bischof. A BLAS-3 Version of the QR Factorization with Column Pivoting
1495 -- 1512Peter N. Brown, Alan C. Hindmarsh, Linda R. Petzold. Consistent Initial Condition Calculation for Differential-Algebraic Systems
1513 -- 1534Jeng Yen, Linda R. Petzold. An Efficient Newton-Type Iteration for the Numerical Solution of Highly Oscillatory Constrained Multibody Dynamic Systems
1535 -- 1551Axel Ruhe. Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
1552 -- 1574Marlis Hochbruck, Christian Lubich, Hubert Selhofer. Exponential Integrators for Large Systems of Differential Equations
1575 -- 1585Irfan Altas, Jonathan Dym, Murli M. Gupta, Ram P. Manohar. Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
1586 -- 1605Juan M. Restrepo, Gary K. Leaf, Andreas Griewank. Circumventing Storage Limitations in Variational Data Assimilation Studies
1606 -- 1624Gene H. Golub, Lan Chieh Huang, Horst Simon, Wei-Pai Tang. A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier-Stokes Equations
1625 -- 1645Tong Zhang 0001, Kincho H. Law, Gene H. Golub. On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
1646 -- 1666Takashi Washio, Cornelis W. Oosterlee. Flexible Multiple Semicoarsening for Three-Dimensional Singularly Perturbed Problems
1667 -- 1681Kelly Black. Spectral Elements on Infinite Domain
1682 -- 1699Irad Yavneh. Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
1700 -- 1716Ivar Aavatsmark, Tor Barkve, Øistein Bøe, Trond Mannseth. Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
1717 -- 1736Ivar Aavatsmark, Tor Barkve, Øistein Bøe, Trond Mannseth. Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
1737 -- 1766Gregory Baker, André Nachbin. Stable Methods for Vortex Sheet Motion in the Presence of Surface Tension

Volume 19, Issue 4

1063 -- 1082James G. Nagy, Dianne P. O'Leary. Restoring Images Degraded by Spatially Variant Blur
1083 -- 1108Mardochée Magolu monga Made. Taking Advantage of the Potentialities of Dynamically Modified Block Incomplete Factorizations
1109 -- 1124Michael Jung, Ulrich Rüde. Implicit Extrapolation Methods for Variable Coefficient Problems
1125 -- 1138G. Alistair Watson. On Computing the Least Quantile of Squares Estimate
1139 -- 1153Ernst P. Stephan, Thanh Tran 0003. Domain Decomposition Algorithms for Indefinite Hypersingular Integral Equations: The h and p Versions
1154 -- 1168Mario Putti, Christian Cordes. Finite Element Approximation of the Diffusion Operator on Tetrahedra
1169 -- 1187Kaname Amano. A Charge Simulation Method for Numerical Conformal Mapping onto Circular and Radial Slit Domains
1188 -- 1209Kurt Lust, Dirk Roose. An Adaptive Newton-Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
1210 -- 1233Thomas F. Coleman, Arun Verma. The Efficient Computation of Sparse Jacobian Matrices Using Automatic Differentiation
1234 -- 1244Satish Iyengar, Mainak Mazumdar. A Saddle Point Approximation for Certain Multivariate Tail Probabilities
1245 -- 1260Kevin Burrage, Jocelyne Erhel, Bert Pohl, Alan Williams. A Deflation Technique for Linear Systems of Equations
1261 -- 1289Lawrence S. Mulholland, Weizhang Huang, David M. Sloan. Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity
1290 -- 1302Ricardo Cortez. On the Accuracy of Impulse Methods for Fluid Flow
1303 -- 1321Peter Bastian. Load Balancing for Adaptive Multigrid Methods
1322 -- 1332Todd F. Dupont, Philip T. Keenan. Superconvergence and Postprocessing of Fluxes from Lowest-Order Mixed Methods on Triangles and Tetrahedra
1333 -- 1339Mo Mu, Yuefan Deng, Chung-Chiang Chou. Numerical Methods for Simulating Ginzburg-Landau Vortices
1340 -- 1365John A. Mackenzie. The Efficient Generation of Simple Two-Dimensional Adaptive Grids
1366 -- 1404Dganit Amitai, Amir Averbuch, Moshe Israeli, Samuel Itzikowitz. Implicit-Explicit Parallel Asynchronous Solver of Parabolic PDEs

Volume 19, Issue 3

703 -- 727James Glimm, John W. Grove, Xiaolin Li 0002, Keh-Ming Shyue, Yanni Zeng, Qiang Zhang. Three-Dimensional Front Tracking
728 -- 765Neil N. Carlson, Keith Miller. Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
766 -- 798Neil N. Carlson, Keith Miller. Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
799 -- 812Harald Osnes, Hans Petter Langtangen. A Study of Some Finite Difference Schemes for a Unidirectional Stochastic Transport Equation
813 -- 828Jay Casper, Mark H. Carpenter. Computational Considerations for the Simulation of Shock-Induced Sound
829 -- 860Martin Berggren. Numerical Solution of a Flow-Control Problem: Vorticity Reduction by Dynamic Boundary Action
861 -- 892Maria Cristina Recchioni, Giovanni Russo. Hamilton-based Numerical Methods for a Fluid-Membrane Interaction in Two and Three Dimensions
893 -- 911Ping Lin, Daoqi Yang. An Iterative Perturbation Method for the Pressure Equation in the Simulation of Miscible Displacement in Porous Media
912 -- 932Tarek P. Mathew, Peter L. Polyakov, Giovanni Russo, Junping Wang. Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
933 -- 952Amir Averbuch, Moshe Israeli, Lev Vozovoi. A Fast Poisson Solver of Arbitrary Order Accuracy in Rectangular Regions
953 -- 967K. Davey, S. Bounds. A Generalized SOR Method for Dense Linear Systems of Boundary Element Equations
968 -- 994Michele Benzi, Miroslav Tuma. A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
995 -- 1023Edmond Chow, Yousef Saad. Approximate Inverse Preconditioners via Sparse-Sparse Iterations
1024 -- 1045Shang-Hong Lai, Baba C. Vemuri. Generalized Capacitance Matrix Theorems and Algorithm for Solving Linear Systems
1046 -- 1062Knud D. Andersen, Edmund Christiansen, Michael L. Overton. Computing Limit Loads by Minimizing a Sum of Norms

Volume 19, Issue 2

319 -- 340Peter D. Lax, Xu-Dong Liu. Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
341 -- 363Panagiota Tsompanopoulou, E. A. Vavalis. ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE
364 -- 386Gary L. Miller, Shang-Hua Teng, William P. Thurston, Stephen A. Vavasis. Geometric Separators for Finite-Element Meshes
387 -- 403Guido E. Sartoris. A 3D Rectangular Mixed Finite Element Method to Solve the Stationary Semiconductor Equations
404 -- 425Todd Arobogast, Clint Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov. Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
426 -- 439Alan Genz, John Monahan. Stochastic Integration Rules for Infinite Regions
440 -- 467Volker H. Schulz, Hans Georg Bock, Marc C. Steinbach. Exploiting Invariants in the Numerical Solution of Multipoint Boundary Value Problems for DAE
468 -- 492Achi Brandt, C. H. Venner. Multilevel Evaluation of Integral Transforms with Asymptotically Smooth Kernels
493 -- 501Lars Ferm. The Number of Coarse-Grid Iterations Every Cycle for the Two-Grid Method
502 -- 515Zhangxin Chen, Do Y. Kwak, Yoon J. Yon. Multigrid Algorithms for Nonconforming and Mixed Methods for Nonsymmetric and Indefinite Problems
516 -- 529Raymond H. Chan, Qianshun Chang, Hai-wei Sun. Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
530 -- 539Gene H. Golub, Andrew J. Wathen. An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations
540 -- 552Axel Klawonn. An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
553 -- 565Joseph Czyzyk, Robert Fourer, Sanjay Mehrotra. Using a Massively Parallel Processor to Solve Large Sparse Linear Programs by an Interior-Point Method
566 -- 583Charles S. Kenney, Alan J. Laub, M. S. Reese. Statistical Condition Estimation for Linear Systems
584 -- 604John M. Conroy, Steven G. Kratzer, Robert F. Lucas, Aaron E. Naiman. Data-Parallel Sparse Factorization
605 -- 625Nicholas I. M. Gould, Jennifer A. Scott. Sparse Approximate-Inverse Preconditioners Using Norm-Minimization Techniques
626 -- 634Bruno Lang. Using Level 3 BLAS in Rotation-Based Algorithms
635 -- 656Shang-Hua Teng. Provably Good Partitioning and Load Balancing Algorithms for Parallel Adaptive N-Body Simulation
657 -- 674Diederik R. Fokkema, Gerard L. G. Sleijpen, Henk A. van der Vorst. Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
675 -- 694Tamás Terlaky, Jean-Philippe Vial. Computing Maximum Likelihood Estimators of Convex Density Functions
695 -- 701Marlis Hochbruck, Christian Lubich. Error Analysis of Krylov Methods In a Nutshell

Volume 19, Issue 1

0 -- 0Howard C. Elman. Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations
1 -- 14William F. Spotz, Graham F. Carey. Iterative and Parallel Performance of High-Order Compact Systems
15 -- 26Andreas Frommer, Uwe Glässner. Restarted GMRES for Shifted Linear Systems
27 -- 37Martyn R. Field. Optimizing a Parallel Conjugate Gradient Solver
38 -- 54Vladimir Druskin, A. Greenbaum, Leonid Knizhnerman. Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
55 -- 73Klaus J. Ressel, Martin H. Gutknecht. QMR Smoothing for Lanczos-Type Product Methods Based on Three-Term Rrecurrences
74 -- 86V. A. Bandy, Joel E. Dendy Jr., W. H. Spangenberg. Some Multigrid Algorithms for Elliptic Problems on Data Parallel Machines
87 -- 110Cornelis W. Oosterlee, Takumi Washio. An Evaluation of Parallel Multigrid as a Solver and a Preconditioner for Singularly Perturbed Problems
111 -- 125Irad Yavneh, Cornelis H. Venner, Achi Brandt. Fast Multigrid Solution of the Advection Problem with Closed Characteristics
126 -- 138Frederico F. Campos, Nick R. C. Birkett. An Efficient Solver for Multi-Right-Hand-Side Linear Systems Based on the CCCG(η) Method with Applications to Implicit Time-Dependent Partial Differential Equations
139 -- 147Raymond H. Chan, Thomas K. DeLillo, Mark A. Horn. Superlinear Convergence Estimates for a Conjugate Gradient Method for the Biharmonic Equation
148 -- 154Tugrul Dayar. State Space Orderings for Gauss-Seidel in Markov Chains Revisited
155 -- 171Thomas K. DeLillo, John A. Pfaltzgraff. Numerical Conformal Mapping Methods for Simply and Doubly Connected Regions
172 -- 184Axel Klawonn. Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
185 -- 205J. David Moulton, Jim E. Morel, Uri M. Ascher. Approximate Schur Complement Preconditioning of the Lowest-Order Nodal Discretizations
206 -- 226Vivek Sarin, Ahmed H. Sameh. An Efficient Iterative Method for the Generalized Stokes Problem
227 -- 245Andreas Stathopoulos, Yousef Saad, Kesheng Wu. Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods
246 -- 265Xiao-Chuan Cai, William D. Gropp, David E. Keyes, Robin G. Melvin, David P. Young. Parallel Newton-Krylov-Schwarz Algorithms for the Transonic Full Potential Equation
266 -- 279James M. Banoczi, Carl T. Kelley. A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations
280 -- 290Carl T. Kelley, Cass T. Miller, Michael D. Tocci. Termination of Newton/Chord Iterations and the Method of Lines
291 -- 301Dana A. Knoll, Paul R. McHugh. Enhanced Nonlinear Iterative Techniques Applied to a Nonequilibrium Plasma Flow
302 -- 318Michael Pernice, Homer F. Walker. NITSOL: A Newton Iterative Solver for Nonlinear Systems