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Frontiers in Mathematics

Numerical Methods for Eulerian and Lagrangian Conservation Laws

Authors: Després, Bruno

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  • Focuses on the mathematical interplay between Eulerian and Lagrangian formulations and its significance for numerical methods
  • Explains the structure of modern corner-based Lagrangian solvers
  • Details the linear-quadratic structure of Lagrangian fluxes originating from continuum mechanics
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eBook 56,70 €
price for Spain (gross)
  • ISBN 978-3-319-50355-4
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Softcover 69,67 €
price for Spain (gross)
  • ISBN 978-3-319-50354-7
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About this book

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first chapters present a selection of well-known features of conservation laws and prepare readers for the subsequent chapters, which are dedicated to the analysis and discretization of Lagrangian systems.

The text is at the frontier of applied mathematics and scientific computing and appeals to students and researchers interested in Lagrangian-based computational fluid dynamics. It also serves as an introduction to the recent corner-based Lagrangian finite volume techniques.

Reviews

“The book is very fluently written and easily digested. … Numerous illustrations are given to demonstrate the efficiency of the numerical methods. … I strongly recommend this book, not only to the mathematically inclined CFD practitioner, but also as illuminating supplementary material for students learning the numerical analysis and the foundations of hyperbolic conservation laws.” (Tore Flåtten, Mathematical Reviews, August, 2018)​

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 56,70 €
price for Spain (gross)
  • ISBN 978-3-319-50355-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 69,67 €
price for Spain (gross)
  • ISBN 978-3-319-50354-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Eulerian and Lagrangian Conservation Laws
Authors
Series Title
Frontiers in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-50355-4
DOI
10.1007/978-3-319-50355-4
Softcover ISBN
978-3-319-50354-7
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XVII, 349
Number of Illustrations
100 b/w illustrations, 3 illustrations in colour
Topics