Departament d'Astronomia i Astrofísica
Universitat de València |

Partially implicit high order Runge-Kutta methods for wave-like equations in spherical-type coordinates

*Isabel Cordero-Carrión*

*Max Planck Institute for Astrophysics, Garching (Alemanya)*

*Saló d'actes de la Facultat de Matemàtiques*

*Divendres 13 gener 2012*

*11:30*

**Resum**

*I will present new partially implicit Runge-Kutta high order methods in order to numerically evolve in time a set of partial differential equations. These methods are based on the ideas used in Cordero-Carrión et al. (2011) to evolve numerically the hyperbolic sector of the metric in the so called Fully Constrained Formulation of Einstein equations, and are designed in order to overcome numerical instabilities, due, for example, to potential numerical unstable terms in the sources of the system or to effects of the chosen system of coordinates (as it was our case).*