Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations
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/Preprint |
| Publikationsjahr | 2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-673523 KITopen-ID: 1000067352 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 21 S. |
| Serie | CRC 1173 ; 2017/5 |
| Schlagwörter | hyperbolic evolution equations, quasilinear Maxwell equations, implicit Runge-Kutta methods, well-posedness, error analysis, time integration |