Partial Differential Equations with Numerical Methods

Vidar Thomee Stig Larsson

ISBN 10: 3540017720 / ISBN 13: 9783540017721

Verlag: Springer, 2003

Beschreibung

pp. 278.

Bestandsnummer des Verkäufers 26290935

Bibliografische Details

• Titel: Partial Differential Equations with Numerical Methods
• Verlag: Springer
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 3540017720
• ISBN-13: 9783540017721
• Einband: Hardcover
• Auflage: 2. Auflage
• Zustand: New

Über diesen Titel

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.

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>