Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelasto...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
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| Schlagworte: | |
| Online-Zugang: | FHI01 BTU01 Volltext |
| Zusammenfassung: | The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation |
| Beschreibung: | 1 Online-Ressource (XXVI, 552 p) |
| ISBN: | 9783662042915 |
| DOI: | 10.1007/978-3-662-04291-5 |
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| 520 | |a The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation | ||
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Datensatz im Suchindex
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| author | Ladopoulos, E. G. |
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| dewey-ones | 006 - Special computer methods |
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| discipline | Informatik |
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| id | DE-604.BV045149361 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:03Z |
| institution | BVB |
| isbn | 9783662042915 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030539060 |
| oclc_num | 1050947195 |
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| owner | DE-573 DE-634 |
| owner_facet | DE-573 DE-634 |
| physical | 1 Online-Ressource (XXVI, 552 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 2000 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Ladopoulos, E. G. Verfasser aut Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering by E. G. Ladopoulos Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (XXVI, 552 p) txt rdacontent c rdamedia cr rdacarrier The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation Engineering Computational Intelligence Appl.Mathematics/Computational Methods of Engineering Analysis Integral Equations Continuum Mechanics and Mechanics of Materials Mechanics Mathematical analysis Analysis (Mathematics) Integral equations Applied mathematics Engineering mathematics Computational intelligence Continuum mechanics Singuläre Integralgleichung (DE-588)4181523-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Singuläre Integralgleichung (DE-588)4181523-3 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9783642086588 https://doi.org/10.1007/978-3-662-04291-5 Verlag URL des Erstveröffentlichers 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 |
| spellingShingle | Ladopoulos, E. G. Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering Engineering Computational Intelligence Appl.Mathematics/Computational Methods of Engineering Analysis Integral Equations Continuum Mechanics and Mechanics of Materials Mechanics Mathematical analysis Analysis (Mathematics) Integral equations Applied mathematics Engineering mathematics Computational intelligence Continuum mechanics Singuläre Integralgleichung (DE-588)4181523-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4181523-3 (DE-588)4018935-1 (DE-588)4048395-2 |
| title | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering |
| title_auth | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering |
| title_exact_search | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering |
| title_full | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering by E. G. Ladopoulos |
| title_fullStr | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering by E. G. Ladopoulos |
| title_full_unstemmed | Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering by E. G. Ladopoulos |
| title_short | Singular Integral Equations |
| title_sort | singular integral equations linear and non linear theory and its applications in science and engineering |
| title_sub | Linear and Non-linear Theory and its Applications in Science and Engineering |
| topic | Engineering Computational Intelligence Appl.Mathematics/Computational Methods of Engineering Analysis Integral Equations Continuum Mechanics and Mechanics of Materials Mechanics Mathematical analysis Analysis (Mathematics) Integral equations Applied mathematics Engineering mathematics Computational intelligence Continuum mechanics Singuläre Integralgleichung (DE-588)4181523-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Engineering Computational Intelligence Appl.Mathematics/Computational Methods of Engineering Analysis Integral Equations Continuum Mechanics and Mechanics of Materials Mechanics Mathematical analysis Analysis (Mathematics) Integral equations Applied mathematics Engineering mathematics Computational intelligence Continuum mechanics Singuläre Integralgleichung Funktionentheorie Randwertproblem |
| url | https://doi.org/10.1007/978-3-662-04291-5 |
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