Higher Order Discretisation of Initial-Boundary Value Problems for Mixed
R. Bodenmann and H. J. Schroll
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.
- Available as PostScript
- Higher Order Discretisation of Initial-Boundary Value Problems for Mixed Systems
- R. Bodenmann
- H. J. Schroll,
- Publishing information:
- Research Report No. 96-05, Seminar fuer Angewandte Mathematik,
- Submitted by:
August 26 1996.
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Last modified: Mon Aug 26 11:37:59 1996