Springer Proceedings in Mathematics & Statistics

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

FVCA 7, Berlin, June 2014

Editors: Fuhrmann, Jürgen, Ohlberger, Mario, Rohde, Christian (Eds.)

  • Includes focused invited papers and contributions reviewed by experts
  • Gives a comprehensive overview and theoretical understanding
  • Important for multiphysics and multiscale applications
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Hardcover $169.00
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  • Due: November 4, 2016
  • ISBN 978-3-319-38287-6
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About this book

The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include 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, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given 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. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic 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.

Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Table of contents (45 chapters)

  • Low Mach Number Modeling of Stratified Flows

    Almgren, Ann (et al.)

    Pages 3-15

  • Entropy Method and Asymptotic Behaviours of Finite Volume Schemes

    Chainais-Hillairet, Claire

    Pages 17-35

  • Interpolated Pressure Laws in Two-Fluid Simulations and Hyperbolicity

    Helluy, Philippe (et al.)

    Pages 37-53

  • An ALE Formulation for Explicit Runge-Kutta Residual Distribution

    Abgrall, Remi (et al.)

    Pages 57-65

  • Gradient Schemes for an Obstacle Problem

    Alnashri, Yahya (et al.)

    Pages 67-75

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-05684-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-05683-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-38287-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Book Subtitle
FVCA 7, Berlin, June 2014
Editors
  • Jürgen Fuhrmann
  • Mario Ohlberger
  • Christian Rohde
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
77
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05684-5
DOI
10.1007/978-3-319-05684-5
Hardcover ISBN
978-3-319-05683-8
Softcover ISBN
978-3-319-38287-6
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XVIII, 468
Number of Illustrations and Tables
47 b/w illustrations, 40 illustrations in colour
Topics