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Partial Differential Equations

Partial Differential Equations
Modeling, Analysis, Computation

Part of Monographs on Mathematical Modeling and Computation

  • Date Published: September 2005
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898715941


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About the Authors
  • Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included, and numerous exercises are included in all other chapters.

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    Product details

    • Date Published: September 2005
    • format: Paperback
    • isbn: 9780898715941
    • length: 699 pages
    • dimensions: 254 x 178 x 30 mm
    • weight: 1.187kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of Figures
    List of Tables
    1. Differential and difference equations
    2. Characterization and classification
    3. Fourier theory
    4. Distributions and fundamental solutions
    5. Approximation by finite differences
    6. The Equations of continuum mechanics and electromagnetics
    7. The art of modeling
    8. The analysis of elliptic equations
    9. Numerical methods for elliptic equations
    10. Analysis of parabolic equations
    11. Numerical methods for parabolic equations
    12. Analysis of hyperbolic equations
    13. Numerical methods for scalar hyperbolic equations
    14. Numerical methods for hyperbolic systems
    15. Perturbation methods
    16. Modeling, analyzing, and simulating problems from practice
    Appendices. Useful definitions and properties

  • Authors

    R. M. M. Mattheij, Technische Universiteit Eindhoven, The Netherlands

    S. W. Rienstra, Technische Universiteit Eindhoven, The Netherlands

    J. H. M. ten Thije Boonkkamp, Technische Universiteit Eindhoven, The Netherlands

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