Partial Differential Equations with Numerical Methods
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- Engels
- Paperback
- 9783540887058
- 05 december 2008
- 262 pagina's
Samenvatting
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.
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.
Productspecificaties
Inhoud
- Taal
- en
- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 05 december 2008
- Aantal pagina's
- 262
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Stig Larsson
- Tweede Auteur
- Vidar Thomee
- Hoofduitgeverij
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Overige kenmerken
- Editie
- 1st ed. 2003. 2nd printing 2008
- Extra groot lettertype
- Nee
- Product breedte
- 159 mm
- Product hoogte
- 17 mm
- Product lengte
- 238 mm
- Studieboek
- Ja
- Verpakking breedte
- 159 mm
- Verpakking hoogte
- 17 mm
- Verpakking lengte
- 238 mm
- Verpakkingsgewicht
- 428 g
EAN
- EAN
- 9783540887058
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