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Article

Brandner, Marek ; Míka, Stanislav
On the approximation of the non-autonomous non-linear Riemann problem. (English). In: Chleboun, J., Přikryl, P. and Segeth, K. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2004. Institute of Mathematics AS CR, Prague, 2004. pp. 9-23
Keywords:
finite volume methods; upwind schemes; central schemes; fluid flow; male urethra
Summary:
In this paper we study conservation laws with spatially-varying flux functions. We give a survey of some schemes (based on finite volume methods) to solve non-autonomous conservation laws of the form $q_t + [g(q,x)]_x = 0$. Numerical experiments are presented.
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