Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
type: Item
instance of: scholarly article
title: Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
zbMATH Open document ID: 0949.65090
DOI: 10.1016/S0377-0427(99)00143-0
author: D. Lanser
author: J. G. Verwer
published in: Journal of Computational and Applied Mathematics
publication date: 2000-12-11T00:00:00Z
review text: Operator or time splitting methods for the numerical solution of initial-boundary value problems for differential equations are discussed. Such a method is a standard practice for example in computational air pollution modelling. For such an approach it is important to estimate the quality of splitting and to determine the splitting error. The paper presents an analysis of operator splitting aimed at providing insight into the splitting error. Using the Lie operator formalism a general expression is derived for the three-term Strang splitting in the pure initial value case. For the class of advection-diffusion reaction problems the splitting error is analyzed in detail. A special case is discussed in which the splitting error can be reduced. Some results for an operator splitting in initial-boundary value problems are also developed.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 1398830
zbMATH Keywords: error estimates
zbMATH Keywords: time splitting methods
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: air pollution modelling
zbMATH Keywords: advection-diffusion reaction problems
zbMATH Keywords: operator splitting
reviewed by: Jiří Vaníček
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1398830