| Description |
1 online resource (xiv, 597 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge monographs on applied and computational mathematics ; 15
|
|
Cambridge monographs on applied and computational mathematics ; 15.
|
| Bibliography |
Includes bibliographical references (pages 506-587) and index. |
| Contents |
1. Collocation method for ODEs : an introduction -- 2. Volterra integral equations with smooth kernels -- 3. Volterra integro-differential equations with smooth kernels -- 4. Initial-value problems with non-vanishing delays -- 5. Initial-value problems with proportional (vanishing) delays -- 6. Volterra integral equations with weakly singular kernels -- 7. VIDEs with weakly singular kernels -- 8. Outlook : integral-algebraic equations and beyond -- 9. Epilogue. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Volterra equations -- Numerical solutions.
|
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Volterra equations -- Numerical solutions. |
|
Collocation methods.
|
|
Collocation methods. |
| Genre/Form |
Electronic books.
|
| Cover Title |
Collocation methods for Volterra integral and related functional equations |
| 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 (DLC) 2004045195 (OCoLC)54543741 |
| ISBN |
9780511265884 (electronic book) |
|
0511265883 (electronic book) |
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0511263619 |
|
9780511263613 |
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0511265166 (electronic book) |
|
9780511265167 (electronic book) |
|
0511543239 (electronic book) |
|
9780511543234 (electronic book) |
|
0521806151 (Cloth) |
|
