This book surveys the most recent research in six key areas related to numerical solutions of differential equations. It covers guaranteed error bounds for ordinary differential equations; an introduction to computational methods for differential equations; numerical solution of differential-algebraic equations, boundary element methods; and perturbation theory for infinite dimensional dynamical systems. It draws together a method that is currently only available in journals, introducing the reader to important current research. This book is written at a level for graduate students and researchers in computational mathematics and in application areas in physics and engineering. This book is intended for research in computational mathematics and in its application area in physics and engineering.
`A particularly appealing aspect of this work is the basic uniform methodology for elliptic as well as time-dependent parabolic and hyperbolic PDE's. Much of this material is relatively new having been developed in the last several years'
Mathematics of Computation Vol. 66
George F. Corliss: Guaranteed Error Bounds for Ordinary Differential Equations
Kenneth Eriksson, Don Estap, Peter Hansbo and Claes Johnson: Introduction to Computational Methods for Differential Equations
Linda R. Petzold: Numerical Solution of Differential-Algebraic Equations
Ian H. Sloan: Boundary Element Methods
Andrew Stuart: Perturbation Theory for Infinite Dimensional Dynamical Systems
M. Zennaro: Delay Differential Equations: Theory and Numerics
Series: Advances in Numerical Analysis
Number Of Pages: 346
Published: 20th July 1995
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.3
Weight (kg): 0.65