Visit our Christmas Gift Finder
Cambridge Monographs on Applied and Computational Mathematics: Collocation Methods for Volterra Integral and Related Functional Differential Equations Series Number 15 (Hardback)
  • Cambridge Monographs on Applied and Computational Mathematics: Collocation Methods for Volterra Integral and Related Functional Differential Equations Series Number 15 (Hardback)
zoom

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

(author)
£134.00
Hardback 612 Pages / Published: 15/11/2004
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Cambridge University Press
ISBN: 9780521806152
Number of pages: 612
Weight: 1380 g
Dimensions: 236 x 158 x 40 mm


MEDIA REVIEWS
'The clarity of the exposition, the completeness in the presentation of stated and proved theorems, and the inclusion of a long list of exercises and open problems, along with a wide and exhaustive annotated bibliography, make this monograph a useful and valuable reference book for a wide range of scientists and engineers. In particular, it can be recommended to advanced undergraduate and graduate students in mathematics and may also serve as a source of topics for MSc. and PhD. theses in this field.' Alfredo Bellen, Universita' di Trieste
"[T]his book gives a rather comprehensive treatment of collocation methods and its application to a wide class of functional equations. Even though it is centred on the use of collocation, this book also provides an introductory survey on theoretical and practical problems related to several kinds of Volterra Functional Equations and their numerical integration. The clarity of the exposition, the completeness in the presentation of stated and proved theorems, and the inclusion of a long list of exercises and open problems, along with a wide and exhaustive annotated bibliography, make this monograph a useful and valuable reference book for a wide range of scientists and engineers. In particular, it can be recommended to advanced undergraduate and graduate students in mathematics and may also serve as a source of topics for M.Sc. and Ph.D. theses in this field." Journal of Integral Equations and Applications
"The book gives a state-of-the-art view of the numerical solution of Volterra equations and opens a rich source of unsolved problems for future research." Mathematical Reviews, G.A. Evans
"The book under review, written by one of the leading experts in this area, is on the one hand focused on a seemingly narrow part of this subject, namely methods of collocation type. On the other hand, it shows an enormous broadness because it covers not only the usual simple problems (such as equations with continuous or even smooth kernels) but also equations with weakly singular kernels, various forms of delay equations, integro-differential equations, integral-algebraic equations and equations with singular perturbations. All these items are discussed in a thorough and very detailed fashion, including a review of the analytical aspects that are relevant for the numerical work, thus turning the monograph into a highly valuable resource for any researcher in the area." Zentralblatt MATH

You may also be interested in...

A Brief on Tensor Analysis
Added to basket
Schaum's Outline of Vector Analysis
Added to basket
Differential Equations Demystified
Added to basket
Thomas' Calculus in SI Units
Added to basket
How to Think About Analysis
Added to basket
Maths for Science
Added to basket
£35.99
Paperback
Measurements and their Uncertainties
Added to basket
Ordinary Differential Equations
Added to basket
Maths for Chemistry
Added to basket
£29.99
Paperback
Real Analysis
Added to basket
£24.95
Paperback
Fundamentals of Mathematical Analysis
Added to basket

Please sign in to write a review

Your review has been submitted successfully.