ENGLISH

Partial Differential Equations with Numerical Methods

By Vidar Thomée (auth.) , Stig Larsson

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2003
ISBN
9783540017721, 9783540887058, 3540017720, 3540887059
DOI
10.1007/978-3-540-88706-5
Open Library ID
OL9053923M
Language
english
Format
PDF
Filesize
1 MB (1196618 bytes)
Series
Texts in Applied Mathematics 45
Edition
1
Pages
262\273
Orientation
yes
Scanned
no
Time added
2011-06-04 13:46:07
Numerical Analysis; Partial Differential Equations

Description

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.

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