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

Language: English

Published by Cambridge University Press, Cambridge, 2004

0521806151 / 9780521806152

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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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Collocation Methods for Volterra Integral and Related Functional Differential Equations (Hardcover)
Author
Hermann Brunner
Publisher
Cambridge University Press, Cambridge
Publication year
2004
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521806151
ISBN 13
9780521806152

CitiRetail

Stevenage, United Kingdom

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AbeBooks seller since June 29, 2022

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