Cambridge Texts in Applied Mathematics: A First Course in the Numerical Analysis of Differential Equations

Autori

• Arieh Iserles

Parametri

• 378 pagine
• 14 ore di lettura

• Manuali e guide
• Matematica
• Saggistica
• Scienza e Matematica
• Tecnologia

Maggiori informazioni sul libro

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.

Lingua: Inglese

Pubblicato: 1996

(In brossura)