- Математика и физика. Mathematics & Physics. 2012 5 (2)
- Rogozina, Marina S.
- Contact information
- Rogozina, Marina S. : e-mail:
- difference scheme; Cauchy problem; stability; amoeba of algebraic hypersurfaces
We study the numerical stability of the multilayer finite difference schemes by using methods of the theory of amoebas of algebraic hypersurfaces. We give a necessary condition for the stability of a Cauchy problem for a multilayer scheme and show that it is not a sufficient one. Therefore, we formulate and prove a sufficient condition for the stability.
- Paper at repository of SibFU
Stability of Multilayer Finite Difference Schemes and Amoebas of Algebraic Hypersurfaces
Full text (.pdf)