Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Stability and uniform stability of difference schemes

Vorozhtsov E.V., Scobelev B.Y.

Institute of Theoretical and Applied mechanics SB RAS (Novosibirsk)

A number of concepts (correctness, uniform correctness) were proposed in the works of N.N. Yanenko, which stimulated the development of practical methods for stability investigation of difference schemes. We present in this survey our results on the development of new methods for stability investigation of difference schemes (with the aid of catastrophe theory, methods of constrained optimization). A number of new criteria for the sufficiency of the von Neumann condition have been obtained.

A new concept, the uniform stability of difference schemes, is proposed. It identifies a class of difference schemes, which do not have scheme oscillations in time. The constructive criteria for the construction of uniformly stable difference schemes have been obtained.

Full Text in Russian: PDF (259 kb)
Note. Abstracts are published in author's edition

Comments

[Home]
[Conference]