Volume 4, Issue 3
Energy Stability of a First Order Partitioned Method for Systems with General Coupling.

Zichen Deng

Int. J. Numer. Anal. Mod. B,4 (2013), pp. 203-214

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  • Abstract

We give an energy stability analysis of a first order, 2 step partitioned time discretization of systems of evolution equations. The method requires only uncoupled solutions of sub-systems at every time step without iteration, is long time stable and applies to general system couplings. We give a proof of long time energy stability under a time step restriction relating the time step to the size of the coupling terms.

  • History

Published online: 2013-04

  • AMS Subject Headings

65M12, 65J08

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