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Trends in Nonlinear Analysis

  • Markus Kirkilionis
  • Susanne Krömker
  • Rolf Rannacher
  • Friedrich Tomi
Conference proceedings

Table of contents

  1. Front Matter
    Pages I-XV
  2. Willi Jäger, Markus Kirkilionis, Susanne Krömker, Rolf Rannacher, Friedrich Tomi
    Pages 1-21
  3. Bernold Fiedler, Arnd Scheel
    Pages 23-152
  4. Dietmar Kröner, Marc Küther, Mario Ohlberger, Christian Rohde
    Pages 289-306
  5. Karol Mikula, Tobias Preußer, Martin Rumpf, Fiorella Sgallari
    Pages 307-321
  6. Odo Diekmann, Markus Kirkilionis
    Pages 323-340
  7. Frank Hoppensteadt, Paul Waltman
    Pages 341-374
  8. Sergio Conti, Antonio DeSimone, Georg Dolzmann, Stefan Müller, Felix Otto
    Pages 375-408
  9. Back Matter
    Pages 409-419

About these proceedings

Introduction

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

Keywords

Nonlinear analysis analysis dynamical systems fluid mechanics homogenisation image processing linear optimization material sciences mathematical biology modeling molecular dynamics numerical mathematics partial differential equations

Editors and affiliations

  • Markus Kirkilionis
    • 1
  • Susanne Krömker
    • 2
  • Rolf Rannacher
    • 3
  • Friedrich Tomi
    • 4
  1. 1.Mathematics Department and Center for Scientific ComputingUniversity of WarwickCoventryUK
  2. 2.Institute of Scientific ComputingUniversity of HeidelbergHeidelbergGermany
  3. 3.Institute of Applied MathematicsUniversity of HeidelbergHeidelbergGermany
  4. 4.Department of MathematicsUniversity of HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05281-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07916-0
  • Online ISBN 978-3-662-05281-5
  • Buy this book on publisher's site
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