CGS, a fast Lanczos-type solver for nonsymmetric linear systems

K9: a simulator of distributed-memory parallel processors

Proceedings of the 1989 ACM/IEEE conference on Supercomputing

Three-dimensional simulation of semiconductor devices on supercomputers

ICS '91 Proceedings of the 5th international conference on Supercomputing

High performance preconditioning on supercomputers for the 3D device simulator MINIMOS

Proceedings of the 1990 ACM/IEEE conference on Supercomputing

PILS: an iterative linear solver package for ill-conditioned systems

Proceedings of the 1991 ACM/IEEE conference on Supercomputing

Distributed computation of wave propagation models using PVM

Proceedings of the 1993 ACM/IEEE conference on Supercomputing

Distributed Computation of Wave Propagation Models Using PVM

IEEE Parallel & Distributed Technology: Systems & Technology

A performance model for krylov subspace methods on mesh-based parallel computers

Parallel Computing

Solving general sparse linear systems using conjugate gradient-type methods

ICS '90 Proceedings of the 4th international conference on Supercomputing

Mapping Conjugate Gradient Algorithms for Neutron Diffusion Applications onto SIMD, MIMD, and Mixed-Mode Machines

International Journal of Parallel Programming

MCGS: A Modified Conjugate Gradient Squared Algorithm for Nonsymmetric Linear Systems

The Journal of Supercomputing

A review of formal orthogonality in Lanczos-based methods

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

A parallel iterative linear solver for solving irregular grid semiconductor device matrices

Proceedings of the 1994 ACM/IEEE conference on Supercomputing

Krylov-based Uzawa algorithms for the solution of the Stokes equations using discontinuous-pressure tetrahedral finite elements

Journal of Computational Physics

On the performance of certain direct and iterative methods on equations arising on a two-dimensional in situ combustion simulator

Applied Mathematics and Computation

GPBiCG(m, l): a hybrid of BiCGSTAB and GPBiCG methods with efficiency and robustness

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

Variations of Zhang's Lanczos-type product method

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO

ICCS '02 Proceedings of the International Conference on Computational Science-Part II

Parallel Flood Modeling Systems

ICCS '02 Proceedings of the International Conference on Computational Science-Part I

Parallel Numerical Solution for Flood Modeling Systems

PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers

Concept of a Problem Solving Environment for Flood Forecasting

Proceedings of the 9th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface

A Generalized GMRES Iterative Method

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Comparison of Ten Methods for the Solution of Large and Sparse Linear Algebraic Systems

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications

Variations of the GMRES iterative method

Applied Numerical Mathematics

Preconditioning by Gram matrix approximation for diffusion-convection-reaction equations with discontinuous coefficients

Mathematics and Computers in Simulation

Iterative methods for flexible manufacturing systems

Applied Mathematics and Computation

The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems

Advances in Engineering Software - Engineering computational technology

Numerical Solution of Hamilton-Jacobi-Bellman Equations by an Upwind Finite Volume Method

Journal of Global Optimization

References

Sourcebook of parallel computing

A fast implementation for GMRES method

Journal of Computational and Applied Mathematics

Numerical linear algebra for reconstruction inverse problems

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on linear algebra and arithmetic, Rabat, Morocco, 28-31 May 2001

Solving unsymmetric sparse systems of linear equations with PARDISO

Future Generation Computer Systems - Special issue: Selected numerical algorithms

On a class of preconditioners for solving the Helmholtz equation

Applied Numerical Mathematics

Transpose-free multiple Lanczos and its application in Padé approximation

Journal of Computational and Applied Mathematics

Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD

International Journal of High Performance Computing Applications

On the discrete dynamic nature of the conjugate gradient method

Journal of Computational Physics

Numerical experiments with MG continuation algorithms

Applied Numerical Mathematics

Optimizing a conjugate gradient solver with non-blocking collective operations

Parallel Computing

An iterative approach to the solution of an inverse problem in linear elasticity

Mathematics and Computers in Simulation

Limiting accuracy of segregated solution methods for nonsymmetric saddle point problems

Journal of Computational and Applied Mathematics

Almost optimal order approximate inverse based preconditioners for 3-d convection dominated problems on tensor-grids

International Journal of Computing Science and Mathematics

Matrix solvers for computational fluid dynamics

MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS

CGMN Revisited: Robust and Efficient Solution of Stiff Linear Systems Derived from Elliptic Partial Differential Equations

ACM Transactions on Mathematical Software (TOMS)

A smoothing Newton method for a type of inverse semi-definite quadratic programming problem

Journal of Computational and Applied Mathematics

Opendda: a Novel High-Performance Computational Framework for the Discrete Dipole Approximation

International Journal of High Performance Computing Applications

A two-directional Arnoldi process and its application to parametric model order reduction

Journal of Computational and Applied Mathematics

An extension of the conjugate residual method to nonsymmetric linear systems

Journal of Computational and Applied Mathematics

Lanczos-type variants of the COCR method for complex nonsymmetric linear systems

Journal of Computational Physics

Newton-conjugate-gradient methods for solitary wave computations

Journal of Computational Physics

Numerical experiments with MG continuation algorithms

Applied Numerical Mathematics

A three-dimensional explicit preconditioned solver

Computers & Mathematics with Applications

New implementation of QMR-type algorithms

Computers and Structures

Enhanced TABS-MDS model for simulating large-scale free surface flows

Environmental Modelling & Software

Transpose-free multiple Lanczos and its application in Padé approximation

Journal of Computational and Applied Mathematics

Convergence of nonstationary multisplitting methods using ILU factorizations

Journal of Computational and Applied Mathematics

Benchmark of a lithography simulation tool for next generation applications

Microelectronic Engineering

BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices

Journal of Computational and Applied Mathematics

Tackling large state spaces in performance modelling

SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation

Untold Horrors about steady-state probabilities: what reward-based measures won't tell about the equilibrium distribution

EPEW'07 Proceedings of the 4th European performance engineering conference on Formal methods and stochastic models for performance evaluation

CARP-CG: A robust and efficient parallel solver for linear systems, applied to strongly convection dominated PDEs

Parallel Computing

GBi-CGSTAB(s,L): IDR(s) with higher-order stabilization polynomials

Journal of Computational and Applied Mathematics

A comparative study of iterative solutions to linear systems arising in quantum mechanics

Journal of Computational Physics

Bi-CGSTAB as an induced dimension reduction method

Applied Numerical Mathematics

Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering

Journal of Computational Physics

Exploiting BiCGstab($\ell$) Strategies to Induce Dimension Reduction

SIAM Journal on Scientific Computing

A composite preconditioner for the electromagnetic scattering from a large cavity

Journal of Computational Physics

Implementation of sparse matrix algorithms in an advection-diffusion-chemistry module

Journal of Computational and Applied Mathematics

Algorithm 913: An elegant IDR(s) variant that efficiently exploits biorthogonality properties

ACM Transactions on Mathematical Software (TOMS)

A variant of the IDR(s) method with the quasi-minimal residual strategy

Journal of Computational and Applied Mathematics

Triangular and skew-symmetric splitting method for numerical solutions of Markov chains

Computers & Mathematics with Applications

On Efficient Numerical Approximation of the Bilinear Form $c^*A^{-1}b$

SIAM Journal on Scientific Computing

The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems

SIAM Journal on Scientific Computing

Solving linear equations with a stabilized GPBiCG method

Applied Numerical Mathematics

A generalized product-type BiCOR method and its application in signal deconvolution

Computers & Mathematics with Applications