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High-resolution Riemann-solver-free methods for conservation laws. (English) Zbl 1064.65089

Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 305-314 (2003).
Summary: Relaxed methods for hyperbolic conservation laws are reviewed. Similarities and differences to central schemes are described. A new relaxed upwind method for the shallow water system is introduced.
For the entire collection see [Zbl 1024.00068].

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M20 Finite difference methods applied to problems in fluid mechanics
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