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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Author: Hermann (Memorial University of Newfoundland) Brunner
• Language: English
• Binding: Hardback
• Number of pages: 612
• EAN: 9780521806152
• ISBN: 0521806151
• ID: 02044179
• Publisher: Cambridge University Press
• Weight: 1378 g
• Dimensions: 236 × 166 × 38 mm
• Date of publishing: 15. November 2004

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