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  • © 2019

Contributions to Partial Differential Equations and Applications

  • Contains new material in areas relevant to current research on PDEs
  • Provides tools to build better numerical methods for important applications
  • Applies to diverse fields such as engineering, chemistry and life sciences

Part of the book series: Computational Methods in Applied Sciences (COMPUTMETHODS, volume 47)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xi
  2. Three Faces of Fitz: Science, Communication and Leadership

    • Jeff Morgan, Jacques Periaux
    Pages 1-5
  3. Career of Prof. Yuri Kuznetsov

    • Boris Chetverushkin, William Fitzgibbon, Jacques Periaux
    Pages 7-10
  4. Olivier Pironneau Career Paper

    • William Fitzgibbon, Jacques Periaux
    Pages 11-15
  5. Mean Field Games for Modeling Crowd Motion

    • Yves Achdou, Jean-Michel Lasry
    Pages 17-42
  6. Remarks About Spatially Structured SI Model Systems with Cross Diffusion

    • Verónica Anaya, Mostafa Bendahmane, Michel Langlais, Mauricio Sepúlveda
    Pages 43-64
  7. Automatic Clustering in Large Sets of Time Series

    • Robert Azencott, Viktoria Muravina, Rasoul Hekmati, Wei Zhang, Michael Paldino
    Pages 65-75
  8. Parabolic Equations with Quadratic Growth in \(\mathbb {R}^{n}\)

    • Alain Bensoussan, Jens Frehse, Shige Peng, Sheung Chi Phillip Yam
    Pages 91-110
  9. On the Sensitivity to the Filtering Radius in Leray Models of Incompressible Flow

    • Luca Bertagna, Annalisa Quaini, Leo G. Rebholz, Alessandro Veneziani
    Pages 111-130
  10. Model Order Reduction for Problems with Large Convection Effects

    • Nicolas Cagniart, Yvon Maday, Benjamin Stamm
    Pages 131-150
  11. Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium

    • Vivette Girault, Mary F. Wheeler, Kundan Kumar, Gurpreet Singh
    Pages 171-219
  12. Arbitrary Lagrangian-Eulerian Finite Element Method Preserving Convex Invariants of Hyperbolic Systems

    • Jean-Luc Guermond, Bojan Popov, Laura Saavedra, Yong Yang
    Pages 251-272
  13. Dual-Primal Isogeometric Tearing and Interconnecting Methods

    • Christoph Hofer, Ulrich Langer
    Pages 273-296
  14. An Algebraic Solver for the Oseen Problem with Application to Hemodynamics

    • Igor N. Konshin, Maxim A. Olshanskii, Yuri V. Vassilevski
    Pages 339-357
  15. Martin’s Problem for Volume-Surface Reaction-Diffusion Systems

    • Jeff Morgan, Vandana Sharma
    Pages 359-370

About this book

This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume.

It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016.

This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications.

This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained.

It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.  

Editors and Affiliations

  • Keldysh Institute of Applied Mathematics (IPM), Moscow, Russia

    B. N. Chetverushkin

  • College of Technology, University of Houston, Houston, USA

    W. Fitzgibbon

  • Department of Mathematics, University of Houston, Houston, USA

    Y.A. Kuznetsov

  • Department of Mathematical Information, University of Jyväskylä, Jyväskylä, Finland

    P. Neittaanmäki

  • University of Jyväskylä, Jyväskylä, Finland

    J. Periaux

  • LJLL-UPMC, Paris, France

    O. Pironneau

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access