A composite Runge--Kutta method for the spectral solution of semilinear PDEs
type: Item
instance of: scholarly article
title: A composite Runge--Kutta method for the spectral solution of semilinear PDEs
zbMATH Open document ID: 1015.65050
author: Tobin A. Driscoll
published in: Journal of Computational Physics
publication date: 2003-04-28T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1901692
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: Fourier collocation
zbMATH Keywords: nonlinear waves
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Kadomtsev-Petviashvili equation
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: jcph.2002.7127
OpenAlex ID: W2075041225
cites work: Symplectic Methods Based on Decompositions
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: A new class of time discretization schemes for the solution of nonlinear PDEs
cites work: Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
cites work: A fast spectral algorithm for nonlinear wave equations with linear dispersion
cites work: Order conditions for numerical methods for partitioned ordinary differential equations
cites work: Solving Ordinary Differential Equations I
cites work: Exponential Integrators for Large Systems of Differential Equations
cites work: A PseudoSpectral Procedure for the Solution of Nonlinear Wave Equations with Examples from Free-Surface Flows
cites work: Implicit-explicit methods for reaction-diffusion problems in pattern formation
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
DOI: 10.1006/JCPH.2002.7127
description: scientific article; zbMATH DE number 1901692