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Collocation methods for Volterra integral and related functional differential equations /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Colección: | Cambridge monographs on applied and computational mathematics ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xiv, 597 pages) |
| Bibliografía: | Includes bibliographical references (pages 506-587) and index. |
| ISBN: | 9780511265884 0511265883 0511263619 9780511263613 0511265166 9780511265167 0511543239 9780511543234 1107158818 9781107158818 1280749911 9781280749919 9786610749911 6610749914 0511317557 9780511317552 0511264429 9780511264429 9780521806152 0521806151 |