Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws

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Philipp Öffner

Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws

Name: Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
Price: 165.78 AUD
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ISBN: 9783658426194

Philipp Öffner

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English

Springer Spektrum
17 August 2023

Numerical analysis; Applied mathematics

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.

By: Philipp Öffner
Imprint: Springer Spektrum
Country of Publication: Germany
Edition: 1st ed. 2023
Dimensions: Height: 210mm, Width: 148mm,
Weight: 653g
ISBN: 9783658426194
ISBN 10: 3658426195
Pages: 486
Publication Date: 17 August 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

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.