On operator splitting for unsteady boundary value problems
type: Item
instance of: scholarly article
title: On operator splitting for unsteady boundary value problems
zbMATH Open document ID: 0628.65069
DOI: 10.1016/0021-9991(86)90272-X
author: Charlie H. Cooke
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: An initial value problem is considered for the equation \[ \partial u/\partial t=(\partial F/\partial x)+(\partial G/\partial y)+H,\quad t>0,\quad -\infty <x,y<\infty, \] F(u)\(=f_ 1(u)+f_ 2(u,\partial u/\partial x)\), \(G(u)=g_ 1(u)+g_ 2(u,\partial u/\partial x)\) which is assumed to have for \(0\leq t\leq T\) a unique solution in the class \(C^{p+1}\), for some \(p\geq 2\). Second order splittings are obtained, which generalize previous results of \textit{R. W. MacCormack} [Lecture Notes Phys. 8, 151-163 (1971; Zbl 0228.76098)].
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 4022519
zbMATH Keywords: unsteady boundary value problems
zbMATH Keywords: operator splitting
zbMATH Keywords: Second order splittings
MaRDI profile type: Publication
cites work: Q5536978
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: High resolution schemes for hyperbolic conservation laws
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: On the Construction and Comparison of Difference Schemes
description: scientific article; zbMATH DE number 4022519