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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 |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Colección: | Cambridge monographs on applied and computational mathematics ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Brunner, H. |q (Hermann), |d 1941- | |
| 245 | 1 | 0 | |a Collocation methods for Volterra integral and related functional differential equations / |c Hermann Brunner. |
| 246 | 1 | 4 | |a Collocation methods for Volterra integral and related functional equations |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2004. | ||
| 300 | |a 1 online resource (xiv, 597 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge monographs on applied and computational mathematics ; |v 15 | |
| 504 | |a Includes bibliographical references (pages 506-587) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |g 1. |t The collocation method for ODEs : an introduction -- |g 2. |t Volterra integral equations with smooth kernels -- |g 3. |t Volterra integro-differential equations with smooth kernels -- |g 4. |t Initial-value problems with non-vanishing delays -- |g 5. |t Initial-value problems with proportional (vanishing) delays -- |g 6. |t Volterra integral equations with weakly singular kernels -- |g 7. |t VIDEs with weakly singular kernels -- |g 8. |t Outlook : integral-algebraic equations and beyond -- |g 9. |t Epilogue. |
| 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. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Volterra equations |x Numerical solutions. | |
| 650 | 0 | |a Collocation methods. | |
| 650 | 6 | |a Équations de Volterra |x Solutions numériques. | |
| 650 | 6 | |a Méthodes de collocation (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Collocation methods. |2 fast |0 (OCoLC)fst00868326 | |
| 650 | 7 | |a Volterra equations |x Numerical solutions. |2 fast |0 (OCoLC)fst01168953 | |
| 776 | 0 | 8 | |i Print version: |a Brunner, H. (Hermann), 1941- |t Collocation methods for Volterra integral and related functional differential equations. |d Cambridge, UK ; New York : Cambridge University Press, 2004 |z 0521806151 |z 9780521806152 |w (DLC) 2004045195 |w (OCoLC)54543741 |
| 830 | 0 | |a Cambridge monographs on applied and computational mathematics ; |v 15. | |
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