On a certain approach to constructing difference schemes for quasilinear equations of gas dynamics

DOI10.1007/BF02677527zbMATH Open0944.76048OpenAlexW2083430661MaRDI QIDQ1975807

I. G. Sokovikov, A. M. Blokhin

Publication date: 4 May 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677527

zbMATH Keywords

initial-boundary value problemconservation lawsnumerical stabilitycharge transport in semiconductorsimplicit difference schemesa priori energy estimatelocal a priori estimatesquasilinear gas dynamics equationssymmetric \(t\)-hyperbolic systemthree-dimensional motion of inviscid non-heat-conducting gas

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• On the symmetric form of systems of conservation laws with entropy

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