The Linear Rational Collocation Method for the Numerical Solution of the 2D Wave Equation
Abstract
We use the linear rational pseudo-spectral method for
numerically solving the 2D wave equation with absorbing boundary
conditions. We compare these methods with the pseudo-spectral
Chebyshev method as well as the domain-stretching methods
presented by Renaut and Froehlich. As the latter, the linear
rational pseudo-spectral method is much less unstable than the
classical pseudo-spectral Chebyshev method. This is joint work with Richard Baltensperger, University of Fribourg.
