Partial Differential Equations with Numerical Methods (Hardcover, 1st ed. 2003. Corr 2nd printing 2005)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Texts in Applied Mathematics, 45
Release date:	October 2005
First published:	October 2005
Authors:	Stig Larsson • Vidar Thomee
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	262
Edition:	1st ed. 2003. Corr 2nd printing 2005
ISBN-13:	978-3-540-01772-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	3-540-01772-0
Barcode:	9783540017721

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