The numerical solution of integral equations of the second kind:
This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Ad...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
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| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
4 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 552 pages) |
| ISBN: | 9780511626340 |
| DOI: | 10.1017/CBO9780511626340 |
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| 505 | 8 | 0 | |t Brief discussion of integral equations |t Degenerate kernel methods |t Projection methods |t Nyström method |t Solving multivariable integral equations |t Iteration methods |t Boundary integral equations on a smooth planar boundary |t Boundary integral equations on a piecewise smooth planar boundary |t Boundary integral equations in three dimensions |
| 520 | |a This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations | ||
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Datensatz im Suchindex
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| author | Atkinson, Kendall E. |
| author_facet | Atkinson, Kendall E. |
| author_role | aut |
| author_sort | Atkinson, Kendall E. |
| author_variant | k e a ke kea |
| building | Verbundindex |
| bvnumber | BV043940587 |
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| collection | ZDB-20-CBO |
| contents | Brief discussion of integral equations Degenerate kernel methods Projection methods Nyström method Solving multivariable integral equations Iteration methods Boundary integral equations on a smooth planar boundary Boundary integral equations on a piecewise smooth planar boundary Boundary integral equations in three dimensions |
| ctrlnum | (ZDB-20-CBO)CR9780511626340 (OCoLC)849899440 (DE-599)BVBBV043940587 |
| dewey-full | 515/.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.45 |
| dewey-search | 515/.45 |
| dewey-sort | 3515 245 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511626340 |
| format | Electronic eBook |
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| id | DE-604.BV043940587 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511626340 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349557 |
| oclc_num | 849899440 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 552 pages) |
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| publishDate | 1997 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Atkinson, Kendall E. Verfasser aut The numerical solution of integral equations of the second kind Kendall E. Atkinson Cambridge Cambridge University Press 1997 1 online resource (xvi, 552 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 4 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Brief discussion of integral equations Degenerate kernel methods Projection methods Nyström method Solving multivariable integral equations Iteration methods Boundary integral equations on a smooth planar boundary Boundary integral equations on a piecewise smooth planar boundary Boundary integral equations in three dimensions This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations Integral equations / Numerical solutions Integralgleichung (DE-588)4027229-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-10283-4 Erscheint auch als Druckausgabe 978-0-521-58391-6 https://doi.org/10.1017/CBO9780511626340 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Atkinson, Kendall E. The numerical solution of integral equations of the second kind Brief discussion of integral equations Degenerate kernel methods Projection methods Nyström method Solving multivariable integral equations Iteration methods Boundary integral equations on a smooth planar boundary Boundary integral equations on a piecewise smooth planar boundary Boundary integral equations in three dimensions Integral equations / Numerical solutions Integralgleichung (DE-588)4027229-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4128130-5 |
| title | The numerical solution of integral equations of the second kind |
| title_alt | Brief discussion of integral equations Degenerate kernel methods Projection methods Nyström method Solving multivariable integral equations Iteration methods Boundary integral equations on a smooth planar boundary Boundary integral equations on a piecewise smooth planar boundary Boundary integral equations in three dimensions |
| title_auth | The numerical solution of integral equations of the second kind |
| title_exact_search | The numerical solution of integral equations of the second kind |
| title_full | The numerical solution of integral equations of the second kind Kendall E. Atkinson |
| title_fullStr | The numerical solution of integral equations of the second kind Kendall E. Atkinson |
| title_full_unstemmed | The numerical solution of integral equations of the second kind Kendall E. Atkinson |
| title_short | The numerical solution of integral equations of the second kind |
| title_sort | the numerical solution of integral equations of the second kind |
| topic | Integral equations / Numerical solutions Integralgleichung (DE-588)4027229-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Integral equations / Numerical solutions Integralgleichung Numerisches Verfahren |
| url | https://doi.org/10.1017/CBO9780511626340 |
| work_keys_str_mv | AT atkinsonkendalle thenumericalsolutionofintegralequationsofthesecondkind |