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Partial Differential Equations

All titles
Partial Differential Equations

Partial Differential Equations

Modeling, Analysis, Computation
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
January 1987
Paperback
9780898715941
$170.00
USD
Paperback
    Description

    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.

    Product details

    January 1987
    Paperback
    9780898715941
    699 pages
    254 × 178 × 30 mm
    1.187kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • List of Figures
    • List of Tables
    • Notation
    • Preface
    • 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
    • Bibliography
    • Index.
      • Show more
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    Additional Information
    About the authors
      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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