Runge–Kutta approximation for $$C_0$$ C 0 -semigroups in the graph norm with applications to time domain boundary integral equations

Alexander Rieder (), Francisco-Javier Sayas and Jens Markus Melenk ()
Additional contact information
Alexander Rieder: Universität Wien
Francisco-Javier Sayas: University of Delaware
Jens Markus Melenk: Technische Universität Wien

Partial Differential Equations and Applications, 2020, vol. 1, issue 6, 1-47

Abstract: Abstract 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 used to study convolution quadrature based discretizations of a wave scattering and a heat conduction problem.

Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-020-00051-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00051-x

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-020-00051-x

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().