Titre: Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics, Series Number 15)
�diteur: Cambridge University Press (edition Annotated)
Date de parution: 2004
Langue: anglais
ISBN � 10 chiffres: 0521806151
ISBN � 13 chiffres: 9780521806152
Reliure: Hardcover
�dition: Annotated.
�tat de l'article: Good

A propos de ce titre

Synopsis

An introduction for graduate students, a guide for users, and a comprehensive resource for experts.

Pr�sentation de l'�diteur

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

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