On the convolution operators arising in the study of abstract initial boundary value problems

DOI10.1017/S0308210500022897zbMath0880.47022OpenAlexW2313962207MaRDI QIDQ4885631

Isaías Alonso-Mallo, César Palencia

Publication date: 28 July 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022897

zbMATH Keywords

infinitesimal generatorconvolution operatorsabstract initial boundary value problemsparabolic and hyperbolic casessemigroup in a Banach space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operators on function spaces (general) (47B38)

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Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods ⋮ Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods ⋮ Rational methods with optimal order of convergence for partial differential equations ⋮ Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems ⋮ Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems ⋮ Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

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