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an introduction

Book's cover
The cover of “Numerical solution of partial differential equations” - Open Library.

"Numerical solution of partial differential equations" is published by Cambridge University Press in 1994 - Cambridge, the book is classified in bibliography genre, it has 227 pages and the language of the book is English.


“Numerical solution of partial differential equations” Metadata:

  • Title: ➤  Numerical solution of partial differential equations
  • Author:
  • Language: English
  • Number of Pages: 227
  • Publisher: Cambridge University Press
  • Publish Date:
  • Publish Location: Cambridge
  • Genres: bibliography
  • Dewey Decimal Classification: 515/.353
  • Library of Congress Classification: QA377 .M69 1994QA377 .M69 1995

“Numerical solution of partial differential equations” Subjects and Themes:

Edition Specifications:

  • Number of Pages: 227 p. : ill. ; 24 cm.
  • Pagination: 227 p. :

Edition Identifiers:

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"Numerical solution of partial differential equations" Table Of Contents:

  • 1- Introduction
  • 2- Parabolic equations in one space variable
  • 3- Parabolic equations in two and three dimensions
  • 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.

"Numerical solution of partial differential equations" Description:

Harvard Library:

Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasize finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied. The book is based on the extensive teaching experience of the authors, who are also well-known for their work on practical and theoretical aspects of numerical analysis. It will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject.

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