Iterative Operator-splitting Methods with Embedded Discretization Schemes

Authors

  • Jürgen Geiser Ernst-Moritz-Arndt University of Greifswald, Institute of Physics, Felix-Hausdorff-Str. 6, D-17489 Greifswald

DOI:

https://doi.org/10.26713/cma.v3i2.153

Keywords:

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

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.

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CITATION

How to Cite

Geiser, J. (2012). Iterative Operator-splitting Methods with Embedded Discretization Schemes. Communications in Mathematics and Applications, 3(2), 159–185. https://doi.org/10.26713/cma.v3i2.153

Issue

Vol. 3 No. 2 (2012)

Section

Research Article

License

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