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Introduction to Partial Differential Equations

A Computational Approach

  • Aslak Tveito
  • Ragnar Winther
  • J.E. Marsden
  • L. Sirovich
  • M. Golubitsky
  • W. Jäger

Part of the Texts in Applied Mathematics book series (TAM, volume 29)

Table of contents

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations.

Keywords

Boundary value problem Fourier series calculus finite difference methods maximum principles partial differential equation partial differential equations reaction-diffusion equations wave equation

Authors and affiliations

  • Aslak Tveito
    • 1
  • Ragnar Winther
    • 2
  1. 1.Simula Research LaboratoryLysakerNorway
  2. 2.Centre of Mathematics for Applications and Department of InformaticsUniversity of OsloOsloNorway

Editors and affiliations

  • J.E. Marsden
    • 1
  • L. Sirovich
    • 2
  • M. Golubitsky
    • 3
  • W. Jäger
    • 4
  1. 1.Control and Dynamical Systems, 107-81California Institute of TechnologyPasadenaUSA
  2. 2.Division of Applied MathematicsBrown UniversityProvidenceUSA
  3. 3.Department of MathematicsUniversity of HoustonHoustonUSA
  4. 4.Department of Applied MathematicsUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b138016
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-22551-5
  • Online ISBN 978-3-540-26740-9
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site
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