IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
artículos
Título:
Stable and Accurate Second-Order Formulation of the Shifted Wave Equation
Autor/es:
KEN MATTSSON; FLORENCIA PARISI
Revista:
Communications in Computational Physics
Editorial:
Global Science Press
Referencias:
Lugar: Beijing; Año: 2009
ISSN:
1815-2406
Resumen:
High order finite difference approximations are derived for a onedimensional model of the shifted wave equation written in second-order form. The domain is discretized using fully compatible summation by parts operators and the boundary conditions are imposed using a penalty method, leading to fully explicit time integration. This discretization yields a strictly stable and efficient scheme. The analysis is verified by numerical simulations in one-dimension. The present study is the first step towards a strictly stable simulation of the second-order formulation of Einstein’s equations in three spatial dimensions.