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Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws

Philipp Öffner (Autor)

Buch | Softcover

XV, 486 Seiten

2023 | 1st ed. 2023
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-42619-4 (ISBN)

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The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.

lt;br>About the authorPhilipp Öffner is a research associate in the numerical mathematics group at Johannes Gutenberg University Mainz. In his research he focuses on numerical methods for partial differential equations and on scientific computing.

Introduction.- Foundations of Hyperbolic Problems and Numerical Methods.- Recent Progresses.- Attachments.

Erscheinungsdatum	18.08.2023
Zusatzinfo	XV, 486 p. 94 illus., 81 illus. in color. Textbook for German language market.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	148 x 210 mm
Gewicht	647 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Applied mathematics • computational fluid dynamics • hyperbolic conservation laws • Numerical Methods • Partial differential equations
ISBN-10	3-658-42619-5 / 3658426195
ISBN-13	978-3-658-42619-4 / 9783658426194
Zustand	Neuware