A First Course in the Numerical Analysis of Differential Equations
Arieh Iserles - A First Course in the Numerical Analysis of Differential Equations
Published: 1996-01-26 | ISBN: 0521556554, 0521553768 | PDF | 378 pages | 61 MB
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.