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:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics ;
15. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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. |
| Beschreibung: | 1 online resource (xiv, 597 pages) |
| Bibliographie: | 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 |
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| 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) | ||
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| 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. | ||
| 650 | 0 | |a Volterra equations |x Numerical solutions. |0 http://id.loc.gov/authorities/subjects/sh85144323 | |
| 650 | 0 | |a Collocation methods. |0 http://id.loc.gov/authorities/subjects/sh85028449 | |
| 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 | |
| 650 | 7 | |a Volterra equations |x Numerical solutions |2 fast | |
| 655 | 0 | |a Electronic books. | |
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| 758 | |i has work: |a Collocation methods for Volterra integral and related functional differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFJK4tJQ4P9DQJrjkjkMT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 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 |
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Datensatz im Suchindex
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| author | Brunner, H. (Hermann), 1941- |
| author_GND | http://id.loc.gov/authorities/names/n86079530 |
| author_facet | Brunner, H. (Hermann), 1941- |
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| contents | The collocation method for ODEs : an introduction -- Volterra integral equations with smooth kernels -- Volterra integro-differential equations with smooth kernels -- Initial-value problems with non-vanishing delays -- Initial-value problems with proportional (vanishing) delays -- Volterra integral equations with weakly singular kernels -- VIDEs with weakly singular kernels -- Outlook : integral-algebraic equations and beyond -- Epilogue. |
| ctrlnum | (OCoLC)82170841 |
| dewey-full | 515/.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:16:00Z |
| institution | BVB |
| isbn | 9780511265884 0511265883 0511263619 9780511263613 0511265166 9780511265167 0511543239 9780511543234 1107158818 9781107158818 1280749911 9781280749919 9786610749911 6610749914 0511317557 9780511317552 0511264429 9780511264429 9780521806152 0521806151 |
| language | English |
| oclc_num | 82170841 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 597 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics ; |
| series2 | Cambridge monographs on applied and computational mathematics ; |
| spelling | Brunner, H. (Hermann), 1941- https://id.oclc.org/worldcat/entity/E39PBJpJc4hP4QjdXPGrXdMXVC http://id.loc.gov/authorities/names/n86079530 Collocation methods for Volterra integral and related functional differential equations / Hermann Brunner. Collocation methods for Volterra integral and related functional equations Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (xiv, 597 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge monographs on applied and computational mathematics ; 15 Includes bibliographical references (pages 506-587) and index. Print version record. 1. The 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. 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. English. Volterra equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85144323 Collocation methods. http://id.loc.gov/authorities/subjects/sh85028449 Équations de Volterra Solutions numériques. Méthodes de collocation (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Collocation methods fast Volterra equations Numerical solutions fast Electronic books. has work: Collocation methods for Volterra integral and related functional differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCFJK4tJQ4P9DQJrjkjkMT3 https://id.oclc.org/worldcat/ontology/hasWork 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 Cambridge monographs on applied and computational mathematics ; 15. http://id.loc.gov/authorities/names/n95073089 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=181823 Volltext |
| spellingShingle | Brunner, H. (Hermann), 1941- Collocation methods for Volterra integral and related functional differential equations / Cambridge monographs on applied and computational mathematics ; The collocation method for ODEs : an introduction -- Volterra integral equations with smooth kernels -- Volterra integro-differential equations with smooth kernels -- Initial-value problems with non-vanishing delays -- Initial-value problems with proportional (vanishing) delays -- Volterra integral equations with weakly singular kernels -- VIDEs with weakly singular kernels -- Outlook : integral-algebraic equations and beyond -- Epilogue. Volterra equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85144323 Collocation methods. http://id.loc.gov/authorities/subjects/sh85028449 Équations de Volterra Solutions numériques. Méthodes de collocation (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Collocation methods fast Volterra equations Numerical solutions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85144323 http://id.loc.gov/authorities/subjects/sh85028449 |
| title | Collocation methods for Volterra integral and related functional differential equations / |
| title_alt | Collocation methods for Volterra integral and related functional equations The collocation method for ODEs : an introduction -- Volterra integral equations with smooth kernels -- Volterra integro-differential equations with smooth kernels -- Initial-value problems with non-vanishing delays -- Initial-value problems with proportional (vanishing) delays -- Volterra integral equations with weakly singular kernels -- VIDEs with weakly singular kernels -- Outlook : integral-algebraic equations and beyond -- Epilogue. |
| 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 |
| topic | Volterra equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85144323 Collocation methods. http://id.loc.gov/authorities/subjects/sh85028449 Équations de Volterra Solutions numériques. Méthodes de collocation (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Collocation methods fast Volterra equations Numerical solutions fast |
| topic_facet | Volterra equations Numerical solutions. Collocation methods. Équations de Volterra Solutions numériques. Méthodes de collocation (Mathématiques) MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Collocation methods Volterra equations Numerical solutions Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=181823 |
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