Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws - Softcover

Öffner, Philipp

 
9783658426194: Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
Softcover
ISBN 10: 3658426195 ISBN 13: 9783658426194
Publisher: Springer Spektrum, 2023

Synopsis

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.


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About the Author


About the author
Philipp 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.

From the Back Cover

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.


About the author
Philipp 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.

"About this title" may belong to another edition of this title.

Publisher
Springer Spektrum
Publication date
2023
Language
English
ISBN 10 
3658426195
ISBN 13 
9783658426194
Binding
Paperback
Edition number
1
Number of pages
501