TITLE

NONLINEAR STABILITY OF THE DIFFERENCE SCHEMES FOR EQUATIONS OF ISENTROPIC GAS DYNAMICS

AUTHOR(S)
Matus, P.; Kolodynska, A.
PUB. DATE
April 2008
SOURCE
Computational Methods in Applied Mathematics;2008, Vol. 8 Issue 2, p155
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
For the difference scheme approximating the gas dynamics problem in Riemann invariants a priory estimates with respect to the initial data have been obtained. These estimates are proved without any assumptions about the solution of the differential problem using only limitations for the initial and boundary conditions. Estimates of stability in the general case have been obtained only for the finite instant of time t < t0. The uniqueness and convergence of the difference solution are also considered. The results of the numerical experiment confirming theoretical results are given.
ACCESSION #
33967226

 

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