Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
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Valutazione del libro
Parametri
- 378pagine
- 14 ore di lettura
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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.
Acquisto del libro
Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations, Arieh Iserles
- Lingua
- Pubblicato
- 1996
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- (In brossura)
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- Titolo
- Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
- Lingua
- Inglese
- Autori
- Arieh Iserles
- Editore
- Cambridge University Press
- Pubblicato
- 1996
- Formato
- In brossura
- Pagine
- 378
- ISBN10
- 0521556554
- ISBN13
- 9780521556552
- Serie
- Valutazione
- 4,05 su 5
- Descrizione
- 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.