Iterative Operator-splitting Methods with Embedded Discretization Schemes

Jürgen Geiser

Abstract


In this paper we describe a computation of iterative operator-splitting method, which are known as competitive splitting methods, see [11] and [10]. We derived a closed form, based on commutators for the iterative method. The time discretization schemes apply extrapolation schemes and Pade approximations to the exp-functions. Spatial discretization schemes considered Lax-Wendroff methods and are combined with the iterative schemes. The error analysis describe the approximation errors. Numerical examples of ordinary and partial differential equations support the fast computation ideas.

Keywords


Iterative operator-splitting method; Extrapolation methods; Lax-Wendroff method; Error analysis; Differential equations

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DOI: http://dx.doi.org/10.26713%2Fcma.v3i2.153

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