Artebrant, Robert; Schroll, Hans Joachim 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]. Cited in 1 Document 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 Keywords:comparison of methods; numerical examples; relaxed methods; hyperbolic conservation laws; upwind method; shallow water system PDFBibTeX XMLCite \textit{R. Artebrant} and \textit{H. J. Schroll}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 305--314 (2003; Zbl 1064.65089)