Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
Published on 16. August 2023
XV, 486 pages
978-3-658-42620-0 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2023
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Springer Fachmedien Wiesbaden GmbH
Target group
Professional and scholarly
Illustrations
XV, 486 p. 94 illus., 81 illus. in color. Textbook for German language market.
File size
35,11 MB
ISBN-13
978-3-658-42620-0 (9783658426200)
DOI
10.1007/978-3-658-42620-0
Schweitzer Classification
Other editions
Additional editions
Philipp Öffner
Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
Book
08/2023
Springer Spektrum
€96.29
Shipment within 10-15 days
Person
About the author Philipp Öffne r 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.
Content
Introduction.- Foundations of Hyperbolic Problems and Numerical Methods.- Recent Progresses.- Attachments.
