Rational approximation schemes for solutions of the first and second order Cauchy problem

DOI10.1090/S0002-9939-09-09891-8zbMath1186.65065MaRDI QIDQ3642676

Patricio Jara

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergenceabstract Cauchy problemPadé approximantsBanach space\(A\)-stabilityfinite difference approximationCrank-Nicolson methodtime discretizationacceptabilityC-regularized semigroupsbackward EulerRadau IIA methodHille-Phillips functional calculusrational finite difference schemes

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) 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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12) (C)-semigroups, regularized semigroups (47D60) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

Rational approximation schemes for bi-continuous semigroups ⋮ Rational inversion of the Laplace transform ⋮ Hermite expansions of \(C_0\)-groups and cosine functions

Cites Work

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