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Runge–Kutta approximation for [Formula: see text] -semigroups in the graph norm with applications to time domain boundary integral equations

We consider the approximation of an abstract evolution problem with inhomogeneous side constraint using A-stable Runge–Kutta methods. We derive a priori estimates in norms other than the underlying Banach space. Most notably, we derive estimates in the graph norm of the generator. These results are...

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Detalles Bibliográficos
Autores principales: Rieder, Alexander, Sayas, Francisco-Javier, Melenk, Jens Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7785590/
https://www.ncbi.nlm.nih.gov/pubmed/33458696
http://dx.doi.org/10.1007/s42985-020-00051-x