Periodic Integral and Pseudodifferential Equations with Numerical Approximation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises |
| Beschreibung: | 1 Online-Ressource (XI, 452 p) |
| ISBN: | 9783662047965 9783642075384 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-662-04796-5 |
Internformat
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| 500 | |a Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises | ||
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Datensatz im Suchindex
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| adam_text | |
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| author | Saranen, Jukka |
| author_facet | Saranen, Jukka |
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| author_sort | Saranen, Jukka |
| author_variant | j s js |
| building | Verbundindex |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-04796-5 |
| format | Electronic eBook |
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| id | DE-604.BV042423326 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:01:12Z |
| institution | BVB |
| isbn | 9783662047965 9783642075384 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858743 |
| oclc_num | 863942401 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XI, 452 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Monographs in Mathematics |
| spelling | Saranen, Jukka Verfasser aut Periodic Integral and Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (XI, 452 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Pseudodifferentialgleichung (DE-588)4121533-3 gnd rswk-swf Periodische Integralgleichung (DE-588)4666016-1 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s Pseudodifferentialgleichung (DE-588)4121533-3 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Periodische Integralgleichung (DE-588)4666016-1 s Pseudodifferentialoperator (DE-588)4047640-6 s 2\p DE-604 Randelemente-Methode (DE-588)4076508-8 s 3\p DE-604 Vainikko, Gennadi Sonstige oth https://doi.org/10.1007/978-3-662-04796-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Saranen, Jukka Periodic Integral and Pseudodifferential Equations with Numerical Approximation Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd Randwertproblem (DE-588)4048395-2 gnd Randelemente-Methode (DE-588)4076508-8 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Periodische Integralgleichung (DE-588)4666016-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4048395-2 (DE-588)4076508-8 (DE-588)4121533-3 (DE-588)4666016-1 (DE-588)4047640-6 |
| title | Periodic Integral and Pseudodifferential Equations with Numerical Approximation |
| title_auth | Periodic Integral and Pseudodifferential Equations with Numerical Approximation |
| title_exact_search | Periodic Integral and Pseudodifferential Equations with Numerical Approximation |
| title_full | Periodic Integral and Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko |
| title_fullStr | Periodic Integral and Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko |
| title_full_unstemmed | Periodic Integral and Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko |
| title_short | Periodic Integral and Pseudodifferential Equations with Numerical Approximation |
| title_sort | periodic integral and pseudodifferential equations with numerical approximation |
| topic | Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd Randwertproblem (DE-588)4048395-2 gnd Randelemente-Methode (DE-588)4076508-8 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Periodische Integralgleichung (DE-588)4666016-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Computer science / Mathematics Analysis Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung Randwertproblem Randelemente-Methode Pseudodifferentialgleichung Periodische Integralgleichung Pseudodifferentialoperator |
| url | https://doi.org/10.1007/978-3-662-04796-5 |
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