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SIAM Journal on Scientific Computing, Volume 18
Volume 18, Number 1, 1997
- Lawrence F. Shampine, Mark W. Reichelt:
The MATLAB ODE Suite. 1-22 - Kjell Gustafsson, Gustaf Söderlind:
Control Strategies for the Iterative Solution of Nonlinear Equations in ODE Solvers. 23-40 - P. J. van der Houwen, J. J. B. de Swart:
Triangularly Implicit Iteration Methods for ODE-IVP Solvers. 41-55 - Pierluigi Amodio, Marcin Paprzycki
:
A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs. 56-68 - Lixin Liu, Gerald Moore, Robert D. Russell:
Computation and Continuation of Homoclinic and Heteroclinic Orbits with Arclength Parameterization. 69-93 - René Lamour:
A Shooting Method for Fully Implicit Index-2 Differential Algebraic Equations. 94-114 - Peter Kunkel, Volker Mehrmann, Werner Rath, Jörg Weickert:
A New Software Package for Linear Differential-Algebraic Equations. 115-138 - Roswitha März, Caren Tischendorf
Recent Results in Solving Index-2 Differential-Algebraic Equations in Circuit Simulation. 139-159 - Uri M. Ascher, Ping Lin:
Sequential Regularization Methods for Nonlinear Higher-Index DAEs. 160-181 - Laurent O. Jay, Adrian Sandu, Florian A. Potra, Gregory R. Carmichael:
Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration. 182-202 - Robert D. Skeel, Guihua Zhang, Tamar Schlick
A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications. 203-222 - Miguel Ángel López-Marcos, Jesús María Sanz-Serna, Robert D. Skeel:
Explicit Symplectic Integrators Using Hessian-Vector Products. 223-238 - Weizhang Huang
The Adaptive Verlet Method. 239-256 - Ernst Hairer, Daniel Stoffer:
Reversible Long-Term Integration with Variable Stepsizes. 257-269 - Felice Iavernaro, Francesca Mazzia
Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems. 270-285 - Andrew Lumsdaine
Spectra and Pseudospectra of Waveform Relaxation Operators. 286-304 - Christopher T. H. Baker, Christopher A. H. Paul:
Pitfalls in Parameter Estimation for Delay Differential Equations. 305-314
Volume 18, Number 2, 1997
- Barna L. Bihari, Ami Harten:
Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I. 315-354 - Kelly J. Black:
A Spectral Element Technique with a Local Spectral Basis. 355-370 - Ralph C. Smith
A Galerkin Method for Linear PDE Systems in Circular Geometries with Structural Acoustic Problems. 371-402 - June-Yub Lee
A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems. 403-429 - Joel E. Dendy Jr.:
Revenge of the Semicoarsening Frequency Decomposition Multigrid Method. 430-440 - Alfio Borzì
Multilevel Solution of Cell Vertex Cauchy-Riemann Equations. 441-459 - Klaus Bernert:
τ-Extrapolation - Theoretical Foundation, Numerical Experiment, and Application to Navier-Stokes Equations. 460-478 - M. Elizabeth G. Ong:
Hierarchical Basis Preconditioners in Three Dimensions. 479-498 - Fabio Di Benedetto
Preconditioning of Block Toeplitz Matrices by Sine Transforms. 499-515 - Xiaoge Wang, Kyle A. Gallivan, Randall Bramley:
CIMGS: An Incomplete Orthogonal FactorizationPreconditioner. 516-536 - Shao-Liang Zhang:
GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems. 537-551 - James M. Rosinski, David L. Williamson:
The Accumulation of Rounding Errors and Port Validation for Global Atmospheric Models. 552-564 - S. H. Lui:
Computation of Pseudospectra by Continuation. 565-573 - R. Baker Kearfott:
Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Systems. 574-594 - Jianjun Cui, Willi Freeden:
Equidistribution on the Sphere. 595-609 - Mario A. Casarin:
Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods. 610-620 - Petter E. Bjørstad, Bjørn Peter Tjøstheim:
Timely Communication: Efficient Algorithms for Solving a Fourth-Order Equation with the Spectral-Galerkin Method. 621-632
Volume 18, Number 3, 1997
- Yasuhiro Wada, Meng-Sing Liou:
An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities. 633-657 - Jan S. Hesthaven:
A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes. 658-685 - Mark T. Jones, Paul E. Plassmann:
Parallel Algorithms for Adaptive Mesh Refinement. 686-708 - Randall J. LeVeque
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension. 709-735 - Vladimir Karlin, Vladimir Maz'ya:
Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon "Approximate Approximations". 736-752 - Linda R. Petzold, Yuhe Ren, Timothy Maly:
Regularization of Higher-Index Differential-Algebraic Equations with Rank-Deficient Constraints. 753-774 - Anil K. Bangia, Paul F. Batcho, Ioannis G. Kevrekidis, George E. Karniadakis:
Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions. 775-805 - Ian T. Foster, Patrick H. Worley:
Parallel Algorithms for the Spectral Transform Method. 806-837 - Marcus J. Grote
Parallel Preconditioning with Sparse Approximate Inverses. 838-853 - S. A. Stotland, James M. Ortega:
Orderings for Parallel Conjugate Gradient Preconditioners. 854-868 - Steven Huss-Lederman, Anna Tsao, Thomas Turnbull:
A Parallelizable Eigensolver for Real Diagonalizable Matrices with Real Eigenvalues. 869-885 - Harold R. Parks, Jon T. Pitts:
Computing Least Area Hypersurfaces Spanning Arbitrary Boundaries. 886-917 - Mingyou Huang, Tassilo Küpper, Norbert Masbaum:
Computation of Invariant Tori by the Fourier Methods. 918-942 - Tony F. Chan
On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method. 943-948 - Achi Brandt, Leonid Y. Zaslavsky:
Multiscale Algorithm for Atmospheric Data Assimilation. 949-956
Volume 18, Number 4, 1997
- Wenlong Dai, Paul R. Woodward:
A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics. 957-981 - Wenlong Dai, Paul R. Woodward:
An Iterative Riemann Solver for Relativistic Hydrodynamics. 982-995 - Louis H. Howell, John B. Bell
An Adaptive Mesh Projection Method for Viscous Incompressible Flow. 996-1013 - Louis F. Rossi:
Merging Computational Elements in Vortex Simulations. 1014-1027 - Mo Mu:
A Linearized Crank-Nicolson-Galerkin Method for the Ginzburg-Landau Model. 1028-1039 - Wai Sun Don
Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique. 1040-1055 - Paul D. Hovland
Efficient Derivative Codes through Automatic Differentiation and Interface Contraction: An Application in Biostatistics. 1056-1066 - G. N. Milstein, Michael V. Tretyakov
Mean-Square Numerical Methods for Stochastic Differential Equations with Small Noises. 1067-1087 - C. R. Dietrich, Garry N. Newsam:
Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix. 1088-1107 - Gerhard Starke:
Subspace Orthogonalization for Substructuring Preconditioners for Non-self-adjoint Elliptic Problems. 1108-1121 - Roy A. Nicolaides, Noel Walkington
Numerical Methods for a Nonconvex Optimization Problem Modeling Martensitic Microstructure. 1122-1141 - Richard H. Burkhart:
Asymptotic Expansion of the Free-space Green's Function for the Discrete 3-D Poisson Equation. 1142-1162 - Urs von Matt:
The Orthogonal qd-Algorithm. 1163-1186 - Ramesh Natarajan:
Domain Decomposition using Spectral Expansions of Steklov-Poincaré Operators II: A Matrix Formulation. 1187-1199 - Zlatko Drmac
Implementation of Jacobi Rotations for Accurate Singular Value Computation in Floating Point Arithmetic. 1200-1222 - Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary:
Regularization by Truncated Total Least Squares. 1223-1241
Volume 18, Number 5, 1997
- Rickard Enander:
Implicit Explicit Residual Smoothing for the Multidimensional Euler and Navier-Stokes Equations. 1243-1254 - D. Pathria:
The Correct Formulation of Intermediate Boundary Conditions for Runge-Kutta Time Integration of Initial Boundary Value Problems. 1255-1266 - Benqi Guo, Weiming Cao:
Additive Schwarz Methods for the h-p Version of the Finite Element Method in Two Dimensions. 1267-1288 - Ann S. Almgren
A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries. 1289-1309 - Kou-Kung Alex Chang, W. Brent Lindquist:
Mass-Conserving Front Tracking for Miscible Two-Phase Flow. 1310-1327 - Peter A. Forsyth, Mary Catherine A. Kropinski:
Monotonicity Considerations for Saturated-Unsaturated Subsurface Flow. 1328-1354 - Tony F. Chan
Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems. 1355-1366 - Geng Yang, Laura C. Dutto, Michel Fortin:
Inexact Block Jacobi-Broyden Methods for Solving Nonlinear Systems of Equations. 1367-1392 - Judith D. Gardiner:
A Stabilized Matrix Sign Function Algorithm for Solving Algebraic Riccati Equations. 1393-1411 - Ilan Bar-On, Victor Ryaboy:
Fast Diagonalization of Large and Dense Complex Symmetric Matrices, with Applications to Quantum Reaction Dynamics. 1412-1435 - Horst D. Simon
How Good is Recursive Bisection? 1436-1445 - Zhaojun Bai, James Demmel, Jack J. Dongarra, Antoine Petitet, Howard Robinson, Ken Stanley:
The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers. 1446-1461 - Susanne M. Balle, Palle M. Pedersen:
SVD Computations on the Connection Machine CM-5/CM-5E: Implementation and Accuracy. 1462-1478 - Jun Wang
Recurrent Neural Networks for Computing Pseudoinverses of Rank-Deficient Matrices. 1479-1493 - Harold J. Kushner:
Domain Decomposition Methods for Large Markov Chain Control Problems and Nonlinear Elliptic-Type Equations. 1494-1516 - Qingping Deng:
Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure. 1517-1525 - Nejib Smaoui
Timely Communication: Symmetry and the Karhunen-Loève Analysis. 1526-1532
Volume 18, Number 6, 1997
- Lars Ferm, Per Lötstedt:
Two-Grid Solution of Shock Problems. 1533-1552 - P. Batten, N. Clarke, C. Lambert, Derek M. Causon
On the Choice of Wavespeeds for the HLLC Riemann Solver. 1553-1570 - Raymond H. Chan, Thomas K. DeLillo
The Numerical Solution of the Biharmonic Equation by Conformal Mapping. 1571-1582 - Jie Shen
Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries. 1583-1604 - Stefan Goedecker:
Fast Radix 2, 3, 4, and 5 Kernels for Fast Fourier Transformations on Computers with Overlapping Multiply-Add Instructions. 1605-1611 - S. V. Tsynkov
Artificial Boundary Conditions for Computation of Oscillating External Flows. 1612-1656 - Edmond Chow, Yousef Saad
Approximate Inverse Techniques for Block-Partitioned Matrices. 1657-1675 - Ning Hu, Xian-Zhong Guo, I. Norman Katz:
Multi-p Preconditioners. 1676-1697 - Tony F. Chan
Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides. 1698-1721 - William F. Trench:
Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices. 1722-1736 - C. S. Chien, M. S. Chen:
Multiple Bifurcation in the von Kármán Equations. 1737-1766 - Michel J. Daydé, Jean-Yves L'Excellent, Nicholas I. M. Gould
Element-by-Element Preconditioners for Large Partially Separable Optimization Problems. 1767-1787 - Annick Sartenaer:
Automatic Determination of an Initial Trust Region in Nonlinear Programming. 1788-1803
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