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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Cosymmetry conservation in partial differential equations
by
Bülent Karasözen
Department of Mathematics, Middle East Technical University
Coauthors: Vyacheslav Tsybulin(Department of Computational Mathematics, Rostov State University, Russia)

The cosymmetry phenomena may be a reason for the onset of continuous families of the same type regimes with varying spectrum. The cosymmetry differs from the symmetry where all regimes are identical ones. The cosymmetry occuring in pde's may be destroyed by spatial approximation. We study finite-difference operators preserving the cosymmetry property, for both regular and staggered meshes. The results are applied to two-dimensional filtrational convection problem by analyzing the effect of degeneration caused by cosymmetry destruction.

Date received: January 30, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-33.