Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
ISBN: 9783658426200
Platform/Publisher: SpringerLink / Springer Fachmedien Wiesbaden
Digital rights: Users: unlimited; Printing: unlimited; Download: unlimited
Subjects: Life Science and Basic Disciplines;

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 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.

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