
Generalised Summation-by-Parts Operators and Entropy Stability of Numerical Methods for Hyperbolic Balance Laws
Kurzinformation



inkl. MwSt. Versandinformationen
Artikel zZt. nicht lieferbar
Artikel zZt. nicht lieferbar

Beschreibung
This thesis is dedicated to the investigation and development of numerical methods for hyperbolic partial differential equations arising in continuum physics and contains several new theoretical and practical insights which have resulted in novel numerical algorithms that are provably stable and robust, presented here for the first time as a whole. After extending the theory of conservative discretisations using summation-by-parts operators and symmetric numerical fluxes, the application of these methods to nonlinear balance laws such as the shallow water equations and the Euler equations is studied. While it is not clear whether entropy stable schemes can be formulated in this way for the Euler equations and general summation-by-parts operators, it is possible to construct such schemes using classical summation-by-parts operators. Following again the idea to mimic properties of the continuous level discretely, several numerical methods are investigated and new ones are developed. Moreover, stability of fully discrete schemes using explicit Runge-Kutta methods is investigate. Finally, an underlying concept of the previous investigations is studied in detail. Since the entropy plays a crucial role in the theory of hyperbolic balance laws, it has been used as a design principle of numerical methods as described before. Extending these studies, variational principles for the entropy are investigated with respect to their applicability in numerical schemes. von Ranocha, Hendrik
Produktdetails

So garantieren wir Dir zu jeder Zeit Premiumqualität.
Über den Autor
- Hardcover
- 176 Seiten
- Erschienen 1990
- Friedrich Vieweg & Sohn...
- paperback
- 516 Seiten
- Erschienen 1997
- Vieweg+Teubner Verlag
- Hardcover
- 204 Seiten
- Erschienen 1999
- Oxford University Press
- Gebunden
- 508 Seiten
- Erschienen 2004
- Springer
- Kartoniert
- 204 Seiten
- Erschienen 2007
- Springer
- paperback
- 468 Seiten
- Erschienen 1992
- Vieweg+Teubner Verlag
- Hardcover
- 632 Seiten
- Erschienen 1996
- Springer
- Gebunden
- 652 Seiten
- Erschienen 2004
- Springer
- paperback
- 59 Seiten
- Erschienen 2005
- Scholarly Publishing Office...
- paperback
- 248 Seiten
- Erschienen 2013
- Springer
- Hardcover
- 548 Seiten
- Erschienen 1993
- Springer
- Hardcover
- 428 Seiten
- Erschienen 1984
- Friedrick Vieweg & Son