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Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations

Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland

Abstract:
We establish error bounds of implicit Runge-Kutta methods for a class of quasilinear hyperbolic evolution equations including certain Maxwell and wave equations. Our assumptions cover algebraically stable and coercive schemes such as Gauß and Radau collocation methods. We work in a refinement of the analytical setting of Kato's well-posedness theory.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000067352
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-673523
KITopen ID: 1000067352
Verlag KIT, Karlsruhe
Umfang 21 S.
Serie CRC 1173 ; 2017/5
Schlagworte hyperbolic evolution equations, quasilinear Maxwell equations, implicit Runge-Kutta methods, well-posedness, error analysis, time integration
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