Springer Undergraduate Mathematics Series

Numerical Methods for Partial Differential Equations

Authors: Evans, G., Blackledge, J., Yardley, P.

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eBook $34.99
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  • ISBN 978-1-4471-0377-6
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Softcover $49.95
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  • ISBN 978-3-540-76125-9
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About this Textbook

The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell's equations for electromagnetic theory, which gave solutions for probĀ­ lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechanical processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the NavierĀ­ Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forecasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.

Table of contents (7 chapters)

  • Background Mathematics

    Evans, Gwynne A. (et al.)

    Pages 1-28

  • Finite Differences and Parabolic Equations

    Evans, Gwynne A. (et al.)

    Pages 29-65

  • Hyperbolic Equations and Characteristics

    Evans, Gwynne A. (et al.)

    Pages 67-94

  • Elliptic Equations

    Evans, Gwynne A. (et al.)

    Pages 95-122

  • Finite Element Method for Ordinary Differential Equations

    Evans, Gwynne A. (et al.)

    Pages 123-164

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-0377-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-76125-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Partial Differential Equations
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2000
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0377-6
DOI
10.1007/978-1-4471-0377-6
Softcover ISBN
978-3-540-76125-9
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XII, 290
Topics