Abstract
The stability theory for difference approximations of hyperbolic initial boundary value problems is based on normal mode analysis. To perform such a stability investigation analytically is very difficult even for low-order approximations of scalar problems. For more complicated cases some numerical technique must be used. Here, a numerical algorithm designed for this purpose is presented. It can handle one- and two-dimensional problems and can easily be extended to higher-dimensional cases. The algorithm is justified by a theoretical analysis and experiments show that it is reliable and efficient.
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