Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
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- 378 Seiten
- 14 Lesestunden
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This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.
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Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations, Arieh Iserles
- Sprache
- Erscheinungsdatum
- 1996
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- Titel
- Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
- Sprache
- Englisch
- Autor*innen
- Arieh Iserles
- Erscheinungsdatum
- 1996
- Einband
- Paperback
- Seitenzahl
- 378
- ISBN10
- 0521556554
- ISBN13
- 9780521556552
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Handbücher und Anleitungen, Mathematik, Technologie
- Bewertung
- 4,05 von 5 Sternen
- Beschreibung
- This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.