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Mathematics and Its Applications

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Authors: Zi Cai Li

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About this book

In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid.
Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4613-3338-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-0-7923-5084-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-1-4613-3340-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
Authors
Series Title
Mathematics and Its Applications
Series Volume
444
Copyright
1998
Publisher
Springer US
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-1-4613-3338-8
DOI
10.1007/978-1-4613-3338-8
Hardcover ISBN
978-0-7923-5084-2
Softcover ISBN
978-1-4613-3340-1
Edition Number
1
Number of Pages
XXIV, 479
Topics

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