ENGLISH

Partial Differential Equations with Numerical Methods

By Stig Larsson , Vidar Thomee

Book information

Publisher
Springer
Year
2009
ISBN
3540887059, 9783540887058
Language
english
Format
PDF
Filesize
3 MB (2636241 bytes)
Series
Texts in Applied Mathematics
Edition
1st ed. 2003. 2nd printing.
Pages
263\263
Time added
2011-01-06 10:13:16

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.

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