Stig Larsson

(Author)

Partial Differential Equations with Numerical Methods (2003. Corr 2nd Printing 2005)Hardcover - 2003. Corr 2nd Printing 2005, 7 July 2003

Partial Differential Equations with Numerical Methods (2003. Corr 2nd Printing 2005)
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Part of Series
Texts in Applied Mathematics
Print Length
262 pages
Language
English
Publisher
Springer
Date Published
7 Jul 2003
ISBN-10
3540017720
ISBN-13
9783540017721

Description

The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. 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. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. 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. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

Product Details

Authors:
Stig LarssonVidar Thomee
Book Edition:
2003. Corr 2nd Printing 2005
Book Format:
Hardcover
Country of Origin:
DE
Date Published:
7 July 2003
Dimensions:
23.77 x 16.33 x 1.96 cm
ISBN-10:
3540017720
ISBN-13:
9783540017721
Language:
English
Location:
Berlin, Heidelberg
Pages:
262
Publisher:
Weight:
512.56 gm

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