Convergence rates of \(\alpha\)-stable difference methods

DOI10.1016/0021-9045(84)90103-5zbMath0538.65033OpenAlexW1967418510MaRDI QIDQ793494

D. Pontzen, E. Goerlich

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90103-5

zbMATH Keywords

rate of convergenceconsistencywell-posednessBanach spacedifference methodalpha stabilitysemigroup of growth order alphaSobolev and Besov spaces

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Groups and semigroups of linear operators (47D03) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss

Cites Work

• Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss
• Besov spaces and applications to difference methods for initial value problems
• Alternative forms with orders of the Lax equivalence theorem in Banach spaces
• On the Lax equivalence theorem equipped with orders
• On the Rate of Convergence for Discrete Initial-Value Problems.
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