On the Lax equivalence theorem equipped with orders

DOI10.1016/0021-9045(77)90055-7zbMath0359.65078OpenAlexW1992782907MaRDI QIDQ1238609

Paul L. Butzer, R. Weis

Publication date: 1977

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90055-7

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (9)

A quantitative version of Trotter's approximation theorem ⋮ The Lax equivalence theorem for linear inhomogeneous equations in \(L^ 2\) spaces ⋮ A robust computational framework for analyzing the Bloch-Torrey equation of fractional order ⋮ Alternative forms with orders of the Lax equivalence theorem in Banach spaces ⋮ 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 ⋮ Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss

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