Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics, Series Number 15)

Brunner, Hermann

ISBN 10: 0521806151 / ISBN 13: 9780521806152

Published by Cambridge University Press, 2004

About this Item

Seller Inventory # I-9780521806152

Bibliographic Details

• Title: Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics, Series Number 15)
• Publisher: Cambridge University Press
• Publication Date: 2004
• Language: English
• ISBN 10: 0521806151
• ISBN 13: 9780521806152
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general functional equations. It guides the reader from the "basics" to the current state-of-the-art level of the field, describes important problems and directions for future research, and highlights methods. The analysis includes numerous exercises and applications to the modelling of physical and biological phenomena.

Book Description

This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general functional equations. Its principal aims are to guide the reader from basic ideas to the current state of the art, to describe important problems and directions for future research, and to highlight the benefits of the methods. The treatment is systematic and self-contained, numerous exercise are included, and applications to the mod elling of physical and biological phenomena are covered.