Integral Equations: Theory and Numerical Treatment
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1995
|
| Schriftenreihe: | ISNM International Series of Numerical Mathematics
120 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations |
| Beschreibung: | 1 Online-Ressource (XIV, 362 p) |
| ISBN: | 9783034892155 9783034899475 |
| DOI: | 10.1007/978-3-0348-9215-5 |
Internformat
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Datensatz im Suchindex
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| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.45 |
| dewey-sort | 3515.45 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9215-5 |
| format | Electronic eBook |
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| id | DE-604.BV042422328 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783034892155 9783034899475 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857745 |
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| physical | 1 Online-Ressource (XIV, 362 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
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| series2 | ISNM International Series of Numerical Mathematics |
| spelling | Hackbusch, Wolfgang 1948- Verfasser (DE-588)115588582 aut Integral Equations Theory and Numerical Treatment by Wolfgang Hackbusch Basel Birkhäuser Basel 1995 1 Online-Ressource (XIV, 362 p) txt rdacontent c rdamedia cr rdacarrier ISNM International Series of Numerical Mathematics 120 The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations Mathematics Integral equations Computer science / Mathematics Integral Equations Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-9215-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hackbusch, Wolfgang 1948- Integral Equations Theory and Numerical Treatment Mathematics Integral equations Computer science / Mathematics Integral Equations Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4027229-1 |
| title | Integral Equations Theory and Numerical Treatment |
| title_auth | Integral Equations Theory and Numerical Treatment |
| title_exact_search | Integral Equations Theory and Numerical Treatment |
| title_full | Integral Equations Theory and Numerical Treatment by Wolfgang Hackbusch |
| title_fullStr | Integral Equations Theory and Numerical Treatment by Wolfgang Hackbusch |
| title_full_unstemmed | Integral Equations Theory and Numerical Treatment by Wolfgang Hackbusch |
| title_short | Integral Equations |
| title_sort | integral equations theory and numerical treatment |
| title_sub | Theory and Numerical Treatment |
| topic | Mathematics Integral equations Computer science / Mathematics Integral Equations Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Mathematics Integral equations Computer science / Mathematics Integral Equations Computational Mathematics and Numerical Analysis Informatik Mathematik Integralgleichung |
| url | https://doi.org/10.1007/978-3-0348-9215-5 |
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