An extension of the Lax-Richtmyer theory

DOI10.1007/BF01410111zbMath0523.65067MaRDI QIDQ1056531

César Palencia, Jesús María Sanz-Serna

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132935

zbMATH Keywords

Lax equivalence theoremLax-Richtmyer theory

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Studies in numerical nonlinear instability. II. A new look at \(u_ t+uu_ x=0\), Convergence analysis of one-step schemes in the method of lines, Stability and convergence at the PDE/stiff ODE interface, Operator Semigroups for Convergence Analysis, On Some Connections Between Well‐Posedness and General Properties of Numerical Methods, Four Fundamental Spaces of Numerical Analysis, On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups, Regions of stability, equivalence theorems and the Courant-Friedrichs- Lewy condition, Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Cites Work

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• Equivalence Theorems for Incomplete Spaces: An Appraisal