# The semigroup stability of the difference approximations for initial-boundary value problems

@inproceedings{Wu1995TheSS, title={The semigroup stability of the difference approximations for initial-boundary value problems}, author={Lixin Wu}, year={1995} }

For semidiscrete approximations and one-step fully discretized approximations of the initial-boundary value problem for linear hyperbolic equations with diagonalizable coefficient matrices, we prove that the Kreiss condition is a sufficient condition for the semigroup stability (or l 2 stability). Also, we show that the stability of a fully discretized approximation generated by a locally stable Runge-Kutta method is determined by the stability of the semidiscrete approximation

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