partial differential equations Operator-Splitting methods iterative methods consistenca analysis Operator-Splitting Methods With Respect To Eigenvalue-Problem For Wave-Equations. Juergen Geiser Geiser Juergen Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 10 pp.

Operator-Splitting Methods With Respect To Eigenvalue-Problem For Wave-Equations.

Juergen Geiser

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 10 pp.

MSC 2000

80A20 Heat and mass transfer, heat flow
80M25 Other numerical methods

Abstract
We discuss iterative operator splitting method for wave-equations motivated from the eigenvalue-problem to decide the splitting process. The operator-splitting methods are wel-know to solve such complicated multidimensional and multi physics problems. Often it is not good understood how to decouple the underlying operators. We propose a method based on computing the eigenvalues for the simpler problem to decide the splitting operators and the time-steps. We present the analysis and the numerical results.

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