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Partial Differential Equations with Numerical Methods Hardback - 2003
by Stig Larsson; Vidar Thomee
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From the publisher
First line
In this text we study boundary value and initial-boundary value problems for partial differential equations, that are significant in applications, from both a theoretical and a numerical point of view.
From the rear cover
The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices.
Details
- Title Partial Differential Equations with Numerical Methods
- Author Stig Larsson; Vidar Thomee
- Binding Hardback
- Edition 1st
- Pages 262
- Volumes 1
- Language ENG
- Publisher Springer, ^^ in Stock: we Ship at Once fr. IL USA;
- Publication date 2003-07-07
- Features Bibliography
- ISBN 9783540017721 / 3540017720
- Weight 1.13 lbs (0.51 kg)
- Dimensions 9.36 x 6.43 x 0.77 in (23.77 x 16.33 x 1.96 cm)
- Category Mathematics
- Library of Congress Catalogue Number 2003050595
- Dewey Decimal Code 515.353
Media reviews
Citations
- Choice, 03/01/2004, Page 1330
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Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics, 45)
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