Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6933880 | Journal of Computational Physics | 2013 | 12 Pages |
Abstract
It was recently demonstrated that time-dependent PDE problems can numerically be solved with a fully pseudospectral scheme, i.e. using spectral expansions with respect to both spatial and time directions [15]. This was done with the example of simple scalar wave equations in Minkowski spacetime. Here we show that the method can be used to study interesting physical problems that are described by systems of nonlinear PDEs. To this end we consider two 1Â +Â 1 dimensional problems: radial oscillations of spherically symmetric Newtonian stars and time evolution of Gowdy spacetimes as particular cosmological models in general relativity.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jörg Hennig,