Computational Conformal Mapping:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book evolved out of a graduate course given at the University of New Orleans in 1997. The class consisted of students from applied mathematics andengineering. Theyhadthebackgroundofatleastafirstcourseincomplex analysiswithemphasisonconformalmappingandSchwarz-Christoffeltrans formation, a firstcourse in numerical analysis, and good to excellent working knowledgeofMathematica* withadditionalknowledgeofsomeprogramming languages. Sincetheclasshad nobackground inIntegralEquations, thechap tersinvolvingintegralequationformulations werenotcoveredindetail,except for Symm's integral equation which appealed to a subsetofstudents who had some training in boundary element methods. Mathematica was mostly used for computations. In fact, it simplified numerical integration and other oper ations very significantly, which would have otherwise involved programming inFortran, C, orotherlanguageofchoice, ifclassical numericalmethods were attempted. Overview Exact solutions of boundary value problems for simple regions, such as cir cles, squares or annuli, can be determined with relative ease even where the boundaryconditionsarerathercomplicated. Green'sfunctionsforsuchsimple regions are known. However, for regions with complex structure the solution ofa boundary value problem often becomes more difficult, even for a simple problemsuchastheDirichletproblem. Oneapproachtosolvingthesedifficult problems is to conformally transform a given multiply connected region onto *Mathematica is a registered trade mark of Wolfram Research, Inc. ix x PREFACE simpler canonical regions. This will, however, result in change not only in the region and the associated boundary conditions but also in the governing differential equation. As compared to the simply connected regions, confor mal mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another |
| Beschreibung: | 1 Online-Ressource (XV, 462 p) |
| ISBN: | 9781461220022 9781461273769 |
| DOI: | 10.1007/978-1-4612-2002-2 |
Internformat
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| 500 | |a This book evolved out of a graduate course given at the University of New Orleans in 1997. The class consisted of students from applied mathematics andengineering. Theyhadthebackgroundofatleastafirstcourseincomplex analysiswithemphasisonconformalmappingandSchwarz-Christoffeltrans formation, a firstcourse in numerical analysis, and good to excellent working knowledgeofMathematica* withadditionalknowledgeofsomeprogramming languages. Sincetheclasshad nobackground inIntegralEquations, thechap tersinvolvingintegralequationformulations werenotcoveredindetail,except for Symm's integral equation which appealed to a subsetofstudents who had some training in boundary element methods. Mathematica was mostly used for computations. In fact, it simplified numerical integration and other oper ations very significantly, which would have otherwise involved programming inFortran, C, orotherlanguageofchoice, ifclassical numericalmethods were attempted. | ||
| 500 | |a Overview Exact solutions of boundary value problems for simple regions, such as cir cles, squares or annuli, can be determined with relative ease even where the boundaryconditionsarerathercomplicated. Green'sfunctionsforsuchsimple regions are known. However, for regions with complex structure the solution ofa boundary value problem often becomes more difficult, even for a simple problemsuchastheDirichletproblem. Oneapproachtosolvingthesedifficult problems is to conformally transform a given multiply connected region onto *Mathematica is a registered trade mark of Wolfram Research, Inc. ix x PREFACE simpler canonical regions. This will, however, result in change not only in the region and the associated boundary conditions but also in the governing differential equation. | ||
| 500 | |a As compared to the simply connected regions, confor mal mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another | ||
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| 650 | 4 | |a Computational Mathematics and Numerical Analysis | |
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Datensatz im Suchindex
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| author | Kythe, Prem K. |
| author_facet | Kythe, Prem K. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2002-2 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781461220022 9781461273769 |
| language | English |
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| spelling | Kythe, Prem K. Verfasser aut Computational Conformal Mapping by Prem K. Kythe Boston, MA Birkhäuser Boston 1998 1 Online-Ressource (XV, 462 p) txt rdacontent c rdamedia cr rdacarrier This book evolved out of a graduate course given at the University of New Orleans in 1997. The class consisted of students from applied mathematics andengineering. Theyhadthebackgroundofatleastafirstcourseincomplex analysiswithemphasisonconformalmappingandSchwarz-Christoffeltrans formation, a firstcourse in numerical analysis, and good to excellent working knowledgeofMathematica* withadditionalknowledgeofsomeprogramming languages. Sincetheclasshad nobackground inIntegralEquations, thechap tersinvolvingintegralequationformulations werenotcoveredindetail,except for Symm's integral equation which appealed to a subsetofstudents who had some training in boundary element methods. Mathematica was mostly used for computations. In fact, it simplified numerical integration and other oper ations very significantly, which would have otherwise involved programming inFortran, C, orotherlanguageofchoice, ifclassical numericalmethods were attempted. Overview Exact solutions of boundary value problems for simple regions, such as cir cles, squares or annuli, can be determined with relative ease even where the boundaryconditionsarerathercomplicated. Green'sfunctionsforsuchsimple regions are known. However, for regions with complex structure the solution ofa boundary value problem often becomes more difficult, even for a simple problemsuchastheDirichletproblem. Oneapproachtosolvingthesedifficult problems is to conformally transform a given multiply connected region onto *Mathematica is a registered trade mark of Wolfram Research, Inc. ix x PREFACE simpler canonical regions. This will, however, result in change not only in the region and the associated boundary conditions but also in the governing differential equation. As compared to the simply connected regions, confor mal mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another Mathematics Functions of complex variables Differential equations, partial Computer science / Mathematics Several Complex Variables and Analytic Spaces Computational Mathematics and Numerical Analysis Functions of a Complex Variable Informatik Mathematik Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-2002-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kythe, Prem K. Computational Conformal Mapping Mathematics Functions of complex variables Differential equations, partial Computer science / Mathematics Several Complex Variables and Analytic Spaces Computational Mathematics and Numerical Analysis Functions of a Complex Variable Informatik Mathematik Konforme Abbildung (DE-588)4164968-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4164968-0 (DE-588)4128130-5 |
| title | Computational Conformal Mapping |
| title_auth | Computational Conformal Mapping |
| title_exact_search | Computational Conformal Mapping |
| title_full | Computational Conformal Mapping by Prem K. Kythe |
| title_fullStr | Computational Conformal Mapping by Prem K. Kythe |
| title_full_unstemmed | Computational Conformal Mapping by Prem K. Kythe |
| title_short | Computational Conformal Mapping |
| title_sort | computational conformal mapping |
| topic | Mathematics Functions of complex variables Differential equations, partial Computer science / Mathematics Several Complex Variables and Analytic Spaces Computational Mathematics and Numerical Analysis Functions of a Complex Variable Informatik Mathematik Konforme Abbildung (DE-588)4164968-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Functions of complex variables Differential equations, partial Computer science / Mathematics Several Complex Variables and Analytic Spaces Computational Mathematics and Numerical Analysis Functions of a Complex Variable Informatik Mathematik Konforme Abbildung Numerisches Verfahren |
| url | https://doi.org/10.1007/978-1-4612-2002-2 |
| work_keys_str_mv | AT kythepremk computationalconformalmapping |