Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation
type: Item
instance of: scholarly article
title: Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation
zbMATH Open document ID: 1368.65107
author: Mike A. Botchev
author: Ivan Oseledets
author: E. E. Tyrtyshnikov
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 6758854
zbMATH Keywords: Krylov subspace methods
zbMATH Keywords: waveform relaxation
zbMATH Keywords: matrix exponential
zbMATH Keywords: low rank approximation
zbMATH Keywords: residual
zbMATH Keywords: Anderson acceleration
describes a project that uses: mftoolbox
describes a project that uses: Expokit
describes a project that uses: UMFPACK
describes a project that uses: Anderson
MaRDI profile type: Publication
full work available at URL: j.camwa.2014.03.002
OpenAlex ID: W2114653029
cites work: Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
cites work: Functions of Matrices
cites work: Two polynomial methods of calculating functions of symmetric matrices
cites work: Calculation of functions of unsymmetric matrices using Arnoldi's method
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: Efficient Solution of Parabolic Equations by Krylov Approximation Methods
cites work: Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic
cites work: On Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: Exponential Integrators for Large Systems of Differential Equations
cites work: Q3530191
cites work: Iterative Krylov Methods for Large Linear Systems
cites work: A Krylov projection method for systems of ODEs
cites work: Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
cites work: Residual, restarting, and Richardson iteration for the matrix exponential
cites work: A block Krylov subspace time-exact solution method for linear ordinary differential equation systems
cites work: Expokit
cites work: Q4421310
cites work: Q4888420
cites work: Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
cites work: RD-rational approximations of the matrix exponential
cites work: Preconditioning Lanczos Approximations to the Matrix Exponential
cites work: On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$
cites work: Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
cites work: Deflated Restarting for Matrix Functions
cites work: Convergence of Dynamic Iteration Methods for Initial Value Problems
cites work: Preconditioning the matrix exponential operator with applications
cites work: Iterative solution of large sparse systems of equations. Transl. from the German
cites work: Iterative Solution Methods
cites work: Multi-grid dynamic iteration for parabolic equations
cites work: Anderson Acceleration for Fixed-Point Iterations
cites work: Q5689624
cites work: On cross approximation of multi-index arrays
cites work: Q3086656
cites work: Exponential integrators
cites work: Q3687624
cites work: Q5342712
cites work: Q4040738
cites work: Q3993065
cites work: Q3932241
cites work: Iterative solution of strongly nonsymmetric systems of linear algebraic equations
cites work: \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems
cites work: A new investigation of the extended Krylov subspace method for matrix function evaluations
cites work: Symmetry-preserving discretization of turbulent flow.
cites work: A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
cites work: Algorithm 832
cites work: Q4429350
cites work: Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction
cites work: A Krylov Stability-Corrected Coordinate-Stretching Method to Simulate Wave Propagation in Unbounded Domains
cites work: A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids
cites work: Numerical Integration of Damped Maxwell Equations
cites work: Unconditionally stable integration of Maxwell's equations
DOI: 10.1016/J.CAMWA.2014.03.002
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Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation (published in)
published in: Computers & Mathematics with Applications