Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
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- 378pages
- 14 heures de lecture
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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
- Langue
- Année de publication
- 1996
- product-detail.submit-box.info.binding
- (souple)
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- Titre
- Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations
- Langue
- Anglais
- Auteurs
- Arieh Iserles
- Éditeur
- Cambridge University Press
- Publié
- 1996
- Format
- souple
- Pages
- 378
- ISBN10
- 0521556554
- ISBN13
- 9780521556552
- Séries
- Évaluation
- 4,05 sur 5
- Description
- 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.