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Numerical Solution of Partial Differential Equations
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Resources and solutions

This title has free online support material available.

Details

  • 134 b/w illus. 50 exercises
  • Page extent: 294 pages
  • Size: 228 x 152 mm
  • Weight: 0.4 kg

Library of Congress

  • Dewey number: 518/.64
  • Dewey version: 22
  • LC Classification: QA377 .M69 2005
  • LC Subject headings:
    • Differential equations, Partial--Numerical solutions

Library of Congress Record

Textbook
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Paperback

 (ISBN-13: 9780521607933 | ISBN-10: 0521607930)

DOI: 10.2277/0521607930

Manufactured on demand: supplied direct from the printer

 (Stock level updated: 01:56 GMT, 05 September 2015)

£39.99

Textbook

This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.

• Second edition of well known and respected graduate textbook • Revision includes new material on multigrid and conjugate gradient methods giving it modern relevance • Updated problem sets with solutions available from solutions@cambridge.org

Contents

1. Introduction; 2. Parabolic equations in one space variable; 3. 2-D and 3-D parabolic equations; 4. Hyperbolic equations in one space dimension; 5. Consistency, convergence and stability; 6. Linear second order elliptic equations in two dimensions; 7. Iterative solution of linear algebraic equations; Bibliography; Index.

Review

' … attractive text … very clear and supported by many illuminating figures. Therefore, the book is suitable for a course for applied mathematicians or engineers at the advanced undergraduate level.' Math. Meth. Oper. Res.

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