Preprint 1996030
Higher Order Discretisation of InitialBoundary Value Problems for Mixed
Systems
R. Bodenmann and H. J. Schroll
Abstract:
An initialboundary 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 summationbyparts formula
holds. Therefore, the space discretisation is energy bounded and algebraically
stable implicit RungeKutta 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 InitialBoundary Value Problems for Mixed Systems
 Author(s):
 R. Bodenmann
 H. J. Schroll,
<schroll@igpm.rwthaachen.de>
 Publishing information:
 Research Report No. 9605, Seminar fuer Angewandte Mathematik,
ETHZurich
 Submitted by:

<schroll@igpm.rwthaachen.de>
August 26 1996.
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Last modified: Mon Aug 26 11:37:59 1996