Preprint 1996-030

Higher Order Discretisation of Initial-Boundary Value Problems for Mixed Systems

R. Bodenmann and H. J. Schroll


Abstract: An initial-boundary value problem for a system of nonlinear partial differential equations which consists of a hyperbolic and a parabolic part is taken into consideration. Spacial derivatives are discretised by third order consistent difference operators which are constructed such that a summation--by--parts formula holds. Therefore, the space discretisation is energy bounded and algebraically stable implicit Runge-Kutta methods can be applied to integrate in time. Boundary layers arising from the artificial boundary conditions are analysed and nonlinear convergence is proved.


Paper:
Available as PostScript
Title:
Higher Order Discretisation of Initial-Boundary Value Problems for Mixed Systems
Author(s):
R. Bodenmann
H. J. Schroll, <schroll@igpm.rwth-aachen.de>
Publishing information:
Research Report No. 96-05, Seminar fuer Angewandte Mathematik, ETH-Zurich
Submitted by:
<schroll@igpm.rwth-aachen.de> August 26 1996.


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