Hidden Bibliographic Details
| Varying Form of Title: | Collocation methods for Volterra integral and related functional equations
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| ISBN: | 9780511265884
0511265883
0511263619
9780511263613
0511265166
9780511265167
0511543239
9780511543234
0521806151
1107158818
9781107158818
1280749911
9781280749919
9786610749911
6610749914
0511317557
9780511317552
0511264429
9780511264429
9780521806152
0521806151
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| Notes: | Includes bibliographical references (pages 506-587) and index.
English.
Print version record.
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| Summary: | 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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| Other form: | Print version: Brunner, H. (Hermann), 1941- Collocation methods for Volterra integral and related functional differential equations. Cambridge, UK ; New York : Cambridge University Press, 2004 0521806151 9780521806152
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