# Hyperbolic Problems: Theory, Numerics, Applications

## Seventh International Conference in Zürich, February 1998 Volume II

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Part of the International Series of Numerical Mathematics book series (ISNM, volume 130)

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Conference proceedings

Part of the International Series of Numerical Mathematics book series (ISNM, volume 130)

[Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Finite Operator Partial differential equations algorithm calculus equation hyperbolic equation model numerical analysis proof wave equation

- DOI https://doi.org/10.1007/978-3-0348-8724-3
- Copyright Information Birkhäuser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland 1999
- Publisher Name Birkhäuser, Basel
- eBook Packages Springer Book Archive
- Print ISBN 978-3-0348-9744-0
- Online ISBN 978-3-0348-8724-3
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