Discrete Approximations of Cosine Operator Functions. I

DOI10.1137/0719081zbMath0545.65038OpenAlexW2077947594MaRDI QIDQ3334889

Ronald H. W. Hoppe

Publication date: 1982

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0719081

zbMATH Keywords

convergenceCauchy problemBanach spaceinfinitesimal generatorssecond order evolution equationscosine operator functions

Mathematics Subject Classification ID

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) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (5)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Cosine and sine families on time scales and abstract second order dynamic equations on time scales ⋮ Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations ⋮ Representation of fractional powers of infinitesimal generators of cosine operator functions

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