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Applied and Numerical Partial Differential Equations

Scientific Computing in Simulation, Optimization and Control in a Multidisciplinary Context

  • W.  Fitzgibbon
  • Y.A. Kuznetsov
  • Pekka Neittaanmäki
  • Jacques Périaux
  • Olivier Pironneau

Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 15)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. William E. Fitzgibbon, Jacques F. Périaux
    Pages 1-4
  3. Olivier Pironneau
    Pages 5-7
  4. Michel Flück, Thomas Hofer, Ales Janka, Jacques Rappaz
    Pages 169-182
  5. Xu Zhang, Chuang Zheng, Enrique Zuazua
    Pages 229-245
  6. Back Matter
    Pages 247-248

About this book

Introduction

The present volume is comprised of contributions solicited from invitees to conferences held at the University of Houston, Jyväskylä University, and Xi’an Jiaotong University honoring the 70th birthday of Professor Roland Glowinski. Although scientists convened on three different continents, the Editors prefer to view the meetings as single event. The three locales signify the fact Roland has friends, collaborators and admirers across the globe.

The contents span a wide range of topics in contemporary applied mathematics ranging from population dynamics, to electromagnetics, to fluid mechanics, to the mathematics of finance. However, they do not fully reflect the breath and diversity of Roland’s scientific interest. His work has always been at the intersection mathematics and scientific computing and their application to mechanics, physics, engineering sciences and more recently biology. He has made seminal contributions in the areas of methods for science computation, fluid mechanics, numerical controls for distributed parameter systems, and solid and structural mechanics as well as shape optimization, stellar motion, electron transport, and semiconductor modeling. Two central themes arise from the corpus of Roland’s work. The first is that numerical methods should take advantage of the mathematical properties of the model. They should be portable and computable with computing resources of the foreseeable future as well as with contemporary resources. The second theme is that whenever possible one should validate numerical with experimental data.

The volume is written at an advanced scientific level and no effort has been made to make it self contained. It is intended to be of interested to both the researcher and the practitioner as well advanced students in computational and applied mathematics, computational science and engineers and engineering.

Keywords

PDEs Partial Differential Equations computational multiscale control fluid structure interaction mathematical modeling multiphysics applications numerical analysis optimisation optimization partial differential equation simulation wave equation

Editors and affiliations

  • W.  Fitzgibbon
    • 1
  • Y.A. Kuznetsov
    • 2
  • Pekka Neittaanmäki
    • 3
  • Jacques Périaux
    • 4
  • Olivier Pironneau
    • 5
  1. 1.Dept. MathematicsUniversity of HoustonHoustonU.S.A.
  2. 2.Dept. MathematicsUniversity of HoustonHoustonU.S.A.
  3. 3.Dept. Mathematical Information University of JyväsklykläJyväskyläFinland
  4. 4.Numèrics en Enginyeria (CIMNE)Centre Internacional de MètodesBarcelonaSpain
  5. 5.Dept. MathematiqueUniversité de Paris VIParis CX 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-90-481-3239-3
  • Copyright Information Springer Science+Business Media B.V. 2010
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-90-481-3238-6
  • Online ISBN 978-90-481-3239-3
  • Series Print ISSN 1871-3033
  • Buy this book on publisher's site