Partial Differential Equations with Numerical Methods Paperback - 2008
by Stig Larsson; Vidar Thomee
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 Paperback
- Edition 1st ed. 2003. 2n
- Pages 262
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2008-12-05
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents, Textbook
- ISBN 9783540887058 / 3540887059
- Weight 0.85 lbs (0.39 kg)
- Dimensions 9 x 6 x 0.7 in (22.86 x 15.24 x 1.78 cm)
- Dewey Decimal Code 515.353
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