Interpolating discrete advection--diffusion propagators at Leja sequences
type: Item
instance of: scholarly article
title: Interpolating discrete advection--diffusion propagators at Leja sequences
zbMATH Open document ID: 1055.65105
author: Marco Vianello
author: M. Caliari
author: Luca Bergamaschi
published in: Journal of Computational and Applied Mathematics
publication date: 2004-10-12T00:00:00Z
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 2107318
zbMATH Keywords: exponential operator
zbMATH Keywords: advection-diffusion problem
zbMATH Keywords: sparse matrix
zbMATH Keywords: Leja sequence
zbMATH Keywords: polynomial interpolation
zbMATH Keywords: numerical examples
zbMATH Keywords: comparison of methods
zbMATH Keywords: semidiscretization
zbMATH Keywords: finite-difference
zbMATH Keywords: stiff differential system
zbMATH Keywords: exact time marching scheme
zbMATH Keywords: variable step-size Crank-Nicolson solver
describes a project that uses: ARPACK
describes a project that uses: Expokit
MaRDI profile type: Publication
full work available at URL: j.cam.2003.11.015
OpenAlex ID: W2113478610
cites work: Fast Leja points
cites work: Efficient approximation of the exponential operator for discrete 2D advection–diffusion problems
cites work: Efficient computation of the exponential operator for large, sparse, symmetric matrices
cites work: Q5783502
cites work: Two polynomial methods of calculating functions of symmetric matrices
cites work: Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane
cites work: Newton Interpolation in Fejer and Chebyshev Points
cites work: Efficient Solution of Parabolic Equations by Krylov Approximation Methods
cites work: On Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: Exponential Integrators for Large Systems of Differential Equations
cites work: Q4421310
cites work: The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
cites work: Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
cites work: Modified Krylov acceleration for parallel environments
cites work: Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
cites work: The Tchebychev iteration for nonsymmetric linear systems
cites work: Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
cites work: Q5526246
cites work: Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
cites work: THE COMPUTATION OF FUNCTIONS OF MATRICES BY TRUNCATED FABER SERIES
cites work: An interpolatory approximation of the matrix exponential based on Faber polynomials
cites work: RD-rational approximations of the matrix exponential
cites work: A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices
cites work: Solving linear initial value problems by Faber polynomials
cites work: Arnoldi and Crank-Nicolson methods for integration in time of the transport equation
cites work: Q4303980
cites work: Pseudospectra of the Convection-Diffusion Operator
cites work: Newton interpolation at Leja points
cites work: Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: A polynomial based iterative method for linear parabolic equations
cites work: Expokit
cites work: Low-order polynomial approximation of propagators for the time-dependent Schrödinger equation
cites work: Q4938229
cites work: Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
cites work: Q4291798
cites work: Q5762274
DOI: 10.1016/J.CAM.2003.11.015
description: scientific article; zbMATH DE number 2107318