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Front tracking for hyperbolic conservation laws

Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the...

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Detalles Bibliográficos
Autores principales: Holden, Helge, Risebro, Nils Henrik
Lenguaje:eng
Publicado: Springer 2002
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-56139-9
http://cds.cern.ch/record/2023443
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author Holden, Helge
Risebro, Nils Henrik
author_facet Holden, Helge
Risebro, Nils Henrik
author_sort Holden, Helge
collection CERN
description Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
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spelling cern-20234432021-04-21T20:13:19Zdoi:10.1007/978-3-642-56139-9http://cds.cern.ch/record/2023443engHolden, HelgeRisebro, Nils HenrikFront tracking for hyperbolic conservation lawsMathematical Physics and MathematicsHyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.Springeroai:cds.cern.ch:20234432002
spellingShingle Mathematical Physics and Mathematics
Holden, Helge
Risebro, Nils Henrik
Front tracking for hyperbolic conservation laws
title Front tracking for hyperbolic conservation laws
title_full Front tracking for hyperbolic conservation laws
title_fullStr Front tracking for hyperbolic conservation laws
title_full_unstemmed Front tracking for hyperbolic conservation laws
title_short Front tracking for hyperbolic conservation laws
title_sort front tracking for hyperbolic conservation laws
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-56139-9
http://cds.cern.ch/record/2023443
work_keys_str_mv AT holdenhelge fronttrackingforhyperbolicconservationlaws
AT risebronilshenrik fronttrackingforhyperbolicconservationlaws