Iterative operator-splitting methods for unbounded operators: Error analysis and examples

2009/04/01 by Geiser, Juergen
#65L05 #65M15 #65M71 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0904.0160

Abstract

In this paper we describe an iterative operator-splitting method for unbounded operators. We derive error bounds for iterative splitting methods in the presence of unbounded operators and semigroup operators. Here mixed applications of hyperbolic and parabolic type are allowed and discussed in the applications. Mixed experiments are applied to ordinary differential equations and evolutionary Schrödinger equations.

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