numerical analysis operator-splitting method initial value problems iterative solver method stability analysis overlapping schemes convection- diffusion-reaction equation Iterative operator-splitting with time overlapping algorithms: Theory and Application to constant and time-dependent wave equations Juergen Geiser Geiser Juergen Asgar Jamneshan Jamneshan Asgar Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 28 pp.

Iterative operator-splitting with time overlapping algorithms: Theory and Application to constant and time-dependent wave equations

Juergen Geiser , Asgar Jamneshan

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 28 pp.

MSC 2000

35J60 Nonlinear PDE of elliptic type
35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE

Abstract
In this article we consider wave equations with constant and linear time dependent diffusion-coefficients which are solved numerically by iterative operator splitting with interval overlapping algorithms. The benefits of overlappling for time dependent equations are discussed. A splitting analysis and the assemblation are presented. Numerical examples for 2D wave equations are discussed at the end of this paper.

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