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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
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| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
15 |
| Links: | https://doi.org/10.1017/CBO9780511543234 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 597 Seiten) |
| ISBN: | 9780511543234 |
Internformat
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| 100 | 1 | |a Brunner, H. |d 1941- | |
| 245 | 1 | 0 | |a Collocation methods for Volterra integral and related functional differential equations |c Hermann Brunner |
| 246 | 3 | |a Collocation Methods for Volterra Integral & Related Functional Differential Equations | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2004 | |
| 300 | |a 1 Online-Ressource (xiv, 597 Seiten) | ||
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| 490 | 1 | |a Cambridge monographs on applied and computational mathematics |v 15 | |
| 520 | |a 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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| spelling | Brunner, H. 1941- Collocation methods for Volterra integral and related functional differential equations Hermann Brunner Collocation Methods for Volterra Integral & Related Functional Differential Equations Cambridge Cambridge University Press 2004 1 Online-Ressource (xiv, 597 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 15 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. Erscheint auch als Druck-Ausgabe 9780521806152 |
| spellingShingle | Brunner, H. 1941- Collocation methods for Volterra integral and related functional differential equations |
| title | Collocation methods for Volterra integral and related functional differential equations |
| title_alt | Collocation Methods for Volterra Integral & Related Functional Differential Equations |
| title_auth | Collocation methods for Volterra integral and related functional differential equations |
| title_exact_search | Collocation methods for Volterra integral and related functional differential equations |
| title_full | Collocation methods for Volterra integral and related functional differential equations Hermann Brunner |
| title_fullStr | Collocation methods for Volterra integral and related functional differential equations Hermann Brunner |
| title_full_unstemmed | Collocation methods for Volterra integral and related functional differential equations Hermann Brunner |
| title_short | Collocation methods for Volterra integral and related functional differential equations |
| title_sort | collocation methods for volterra integral and related functional differential equations |
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