On the stability of Friedrichs’ scheme and the modified Lax-Wendroff scheme

DOI10.1090/S0025-5718-1970-0277125-6zbMath0228.65070OpenAlexW2120618897MaRDI QIDQ5636264

Rémi Vaillancourt

Publication date: 1971

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-1970-0277125-6

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

On the observability inequality of coupled wave equations: the case without boundary ⋮ Stability of some difference schemes with \(C^ 2-\)coefficients ⋮ \(L^2\) well-posed Cauchy problems and symmetrizability of first order systems ⋮ Stability and \(A\)-stability of dissipative difference scheme for strongly hyperbolic systems ⋮ On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions ⋮ Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems ⋮ Precise finite speed and uniqueness in the Cauchy problem for symmetrizable hyperbolic systems

Cites Work

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• A strong form of Yamaguti and Nogi's stability theorem for Friedrichs' scheme
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• Über sachgemäße Cauchyprobleme.
• Well-Posed Problems and Stable Difference Operators
• An algebra of pseudo difference schemes and its application
• On stability for difference schemes; a sharp form of gårding's inequality
• A simple proof of lax‐nirenberg theorems
• On the stability of difference schemes

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