Alternative forms with orders of the Lax equivalence theorem in Banach spaces

DOI10.1007/BF02275646zbMath0345.65029OpenAlexW122608090MaRDI QIDQ1233297

Hu. Jansen, Paul L. Butzer, W. Dickmeis, R. J. Nessel

Publication date: 1977

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02275646

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) 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) Theoretical approximation in context of PDEs (35A35) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

A quantitative version of Trotter's approximation theorem ⋮ On the Lax equivalence theorem equipped with orders ⋮ Lax-type theorems and a unified approach to some limit theorems in probability theory with rates ⋮ Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: \(C^{2}\)-estimates ⋮ On Lax-type theorems with orders for semilinear initial-value problems ⋮ Convergence rates of \(\alpha\)-stable difference methods

Cites Work

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• Besov spaces and applications to difference methods for initial value problems
• On the Lax equivalence theorem equipped with orders
• Approximation theorems connected with generalized translations
• On the consistency of finite-difference methods for the solution of initial-value problems
• A General Theory of Convergence for Numerical Methods

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