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Finite Volumes For Complex Applications VIII, volumes 1 and 2

Methods and Theoretical Aspects and Hyperbolic, Elliptic and Parabolic Problems - FVCA 8, Lille, France, June 2017

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Clément Cancès

    1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve d'Ascq, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Pascal Omnes

    1. CEA Saclay, DM2S-STMF, French Atomic Energy Comission, CEA Saclay, Gif sur Yvette, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 199 and 200)

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Keywords

  • 65-06, 65Mxx, 65Nxx, 76xx, 78xx,85-08, 86-08, 92-08
  • finite volume schemes
  • conservation and balance laws
  • numerical analysis
  • conference proceedings
  • high performance computing
  • incompressible flows
  • numerical modelling
  • numerical simulations
  • fluid- and aerodynamics

About this book

This set includes the first and second volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) that collect together focused invited papers, 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 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.

The set of both volumes 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.

Editors and Affiliations

  • Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve d'Ascq, France

    Clément Cancès

  • CEA Saclay, DM2S-STMF, French Atomic Energy Comission, CEA Saclay, Gif sur Yvette, France

    Pascal Omnes

Bibliographic Information

  • Book Title: Finite Volumes For Complex Applications VIII, volumes 1 and 2

  • Book Subtitle: Methods and Theoretical Aspects and Hyperbolic, Elliptic and Parabolic Problems - FVCA 8, Lille, France, June 2017

  • Editors: Clément Cancès, Pascal Omnes

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • Publisher: Springer Cham

  • Copyright Information: Springer International Publishing AG 2017

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

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