On the stability of finite difference schemes which approximate regularly hyperbolic systems with nearly constant coefficients

DOI10.2977/prims/1195195260zbMath0205.14002OpenAlexW1987120612MaRDI QIDQ5604751

Yoshinori Kametaka

Publication date: 1968

Published in: Publications of the Research Institute for Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195195260

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Linear operator approximation theory (47A58) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (3)

On the general form of Yamaguti-Nogi-Vaillancourt's stability theorem ⋮ Stability of some difference schemes with \(C^ 2-\)coefficients ⋮ Stability and \(A\)-stability of dissipative difference scheme for strongly hyperbolic systems

Cites Work

• Systemes hyperboliques
• Necessary and insufficient conditions for well-posed Cauchy problems
• Singular Integral Operators and Differential Equations
• On difference approximations of the dissipative type for hyperbolic differential equations
• Some Remarks on the Lax-Wendroff Finite-Difference Scheme for Nonsymmetric Hyperbolic Systems
• Accuracy and dissipation in difference schemes
• An algebra of pseudo difference schemes and its application
• On stability for difference schemes; a sharp form of gårding's inequality

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