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

Larsson, Stig; Thomee, Vidar

  • 4.18 out of 5 stars
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9783540017721: Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics, 45)
Hardcover
ISBN 10: 3540017720 ISBN 13: 9783540017721
Publisher: Springer, 2003

Synopsis

<p>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.</p>

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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2003
Language
English
ISBN 10 
3540017720
ISBN 13 
9783540017721
Binding
Hardcover
Edition number
2
Number of pages
272
Rating
  • 4.18 out of 5 stars
    11 ratings by Goodreads