PARTIAL DIFFERENTIAL EQUATIONS WITH NUMERICAL METHODS by Stig Larsson, Vidar Thomee ( 9783540887058 )

Item Details

Title:

PARTIAL DIFFERENTIAL EQUATIONS WITH NUMERICAL METHODS

By:

Stig Larsson, Vidar Thomee

Format:

Paperback

List price:

£74.99

Our price:

£67.49

Discount:

10% off

You save:

£7.50

ISBN 10:

3540887059

ISBN 13:

9783540887058

Availability:

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Stock:

Currently 1item in stock

Publisher:

SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG

Pub. date:

3 December, 2008

Edition:

1st ed. 2003. 2nd printing 2008

Series:

Texts in Applied Mathematics 45

Pages:

262

Description:

This softcover reprint of a very popular book presents a very well written and systematic introduction to the finite difference and finite element methods for the numerical solution of the basic types of linear partial differential equations (PDE).

Synopsis:

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.

Illustrations:

X, 262 p.

Publication:

Germany

Imprint:

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Returns:

Non-returnable

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