Collocation Methods for Volterra Integral and Related Functional Differential Equations (Hardcover)

Hermann Brunner

ISBN 10: 0521806151 / ISBN 13: 9780521806152

Edité par Cambridge University Press, Cambridge, 2004

A propos de cet article

Hardcover. 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. The first comprehensive guide to the analysis of collocation methods for a wide class of initial-value problems, including equations with delay arguments. It describes important problems and directions for future research. Also includes numerous exercises, a vast bibliography with historical commentary, and important applications to modelling biological and physical phenomena. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9780521806152

Détails bibliographiques

• Titre: Collocation Methods for Volterra Integral and Related Functional Differential Equations (Hardcover)
• Éditeur: Cambridge University Press, Cambridge
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 0521806151
• ISBN à 13 chiffres: 9780521806152
• Reliure: Hardcover
• État de l'article: new

A propos de ce titre

Synopsis

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

Présentation de l'éditeur

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.