Partial Differential Equations with Numerical Methods: 45 (Texts in Applied Mathematics) - Hardcover

Larsson, Stig; Thomee, Vidar

 
9783540017721: Partial Differential Equations with Numerical Methods: 45 (Texts in Applied Mathematics)
Hardcover
ISBN 10: 3540017720 ISBN 13: 9783540017721
Verlag: Springer, 2005

Inhaltsangabe

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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Von der hinteren Coverseite

<p>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.</p>

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Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
3540017720
ISBN 13 
9783540017721
Einband
Tapa dura
Anzahl der Seiten
278
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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9783540887058: Partial Differential Equations with Numerical Methods: 45 (Texts in Applied Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3540887059 ISBN 13:  9783540887058
Verlag: Springer, 2008
Softcover