Springer Proceedings in Mathematics & Statistics

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

FVCA 8, Lille, France, June 2017

Herausgeber: Cancès, Clément, Omnes, Pascal (Eds.)

  • Gives a comprehensive overview of the state of the art in the field
  • Covers both theoretical and applied aspects
  • Includes contributions by leading researchers
Weitere Vorteile

Dieses Buch kaufen

eBook 91,62 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-57397-7
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
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Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-57396-0
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.

The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy

mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.

The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Inhaltsverzeichnis (40 Kapitel)

  • Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations

    Shu, Chi-Wang

    Seiten 3-14

  • Some Geophysical Applications with Finite Volume Solvers of Two-Layer and Two-Phase Systems

    Fernández-Nieto, E. D.

    Seiten 15-27

  • Some Discrete Functional Analysis Tools

    Gallouët, Thierry

    Seiten 29-41

  • A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles

    Cheng, Yuanzhen (et al.)

    Seiten 43-55

  • Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations

    Boyer, Franck (et al.)

    Seiten 59-71

Dieses Buch kaufen

eBook 91,62 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-57397-7
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-57396-0
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Buchuntertitel
FVCA 8, Lille, France, June 2017
Herausgeber
  • Clément Cancès
  • Pascal Omnes
Titel der Buchreihe
Springer Proceedings in Mathematics & Statistics
Buchreihen Band
199
Copyright
2017
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing AG
eBook ISBN
978-3-319-57397-7
DOI
10.1007/978-3-319-57397-7
Hardcover ISBN
978-3-319-57396-0
Buchreihen ISSN
2194-1009
Auflage
1
Seitenzahl
XII, 476
Anzahl der Bilder und Tabellen
22 schwarz-weiß Abbildungen, 52 Abbildungen in Farbe
Themen