Schwarz-Christoffel mapping:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge University Press
2002
|
| Edition: | 1. publication |
| Series: | Cambridge Monographs on Applied and Computational Mathematics
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 132 Seiten Ill., graph. Darst. |
| ISBN: | 0521807263 9780521807265 |
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MARC
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Record in the Search Index
| _version_ | 1804129166068547584 |
|---|---|
| adam_text | SCHWARZ-CHRISTOFFEL MAPPING TOBIN A. DRISCOLL UNIVERSITY OF DELAWARE
LLOYD N. TREFETHEN OXFORD UNIVERSITY CAMBRIDGE UNIVERSITY PRESS CONTENTS
FIGURES PREFACE 1 INTRODUCTION 1.1 THE SCHWARZ-CHRISTOFFEL IDEA 1.2
HISTORY 2 ESSENTIALS OF SCHWARZ-CHRISTOFFEL MAPPING 2.1 POLYGONS 2.2 THE
SCHWARZ-CHRISTOFFEL FORMULA 2.3 POLYGONS WITH ONE OR TWO VERTICES 2.4
TRIANGLES 2.5 RECTANGLES AND ELLIPTIC FUNCTIONS 2.6 CROWDING 3 NUMERICAL
METHODS 3.1 SIDE-LENGTH PARAMETER PROBLEM 3.2 QUADRATURE 3.3 INVERTING
THE MAP 3.4 CROSS-RATIO PARAMETER PROBLEM 3.5 MAPPING USING CROSS-RATIOS
3.6 SOFTWARE 4 VARIATIONS 4.1 MAPPING FROM THE DISK 4.2 MAPPING FROM A
STRIP 4.3 MAPPING FROM A RECTANGLE 4.4 EXTERIOR MARJS PAGE XI XV 1 1 4 9
9 10 12 16 18 20 23 23 27 29 30 36 39 41 42 44 47 51 IX X J CONTENTS 4.5
PERIODIC REGIONS AND FRACTALS 55 4.6 REFLECTIONS AND OTHER
TRANSFORMATIONS 57 4.7 RIEMANN SURFACES 58 4.8 GEARLIKE REGIONS 60 4.9
DOUBLY CONNECTED REGIONS 64 4.10 CIRCULAR-ARC POLYGONS 70 4.11 CURVED
BOUNDARIES 73 5 APPLICATIONS 75 5.1 WHY USE SCHWARZ-CHRISTOFFEL MAPS? 75
5.2 PIECEWISE-CONSTANT BOUNDARY CONDITIONS 77 5.3 ALTERNATING DIRICHLET
AND NEUMANN CONDITIONS 83 5.4 OBLIQUE DERIVATIVE BOUNDARY CONDITIONS 87
5.5 GENERALIZED PARAMETER PROBLEMS 99 5.6 FREE-STREAMLINE FLOWS 101 5.7
MESH GENERATION 105 5.8 POLYNOMIAL APPROXIMATION AND MATRIX ITERATIONS
108 5.9 SYMMETRIC MULTIPLY CONNECTED DOMAINS 111 APPENDIX: USING THE SC
TOOLBOX 115 BIBLIOGRAPHY 121 INDEX 131
|
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| dewey-full | 516.3/6 |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publication |
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| id | DE-604.BV014276079 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:00:49Z |
| institution | BVB |
| isbn | 0521807263 9780521807265 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009789676 |
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| physical | XVI, 132 Seiten Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge Monographs on Applied and Computational Mathematics |
| series2 | Cambridge Monographs on Applied and Computational Mathematics |
| spelling | Driscoll, Tobin Allen 1969- Verfasser (DE-588)141376902 aut Schwarz-Christoffel mapping Tobin A. Driscoll, University of Delaware, Lloyd N. Trefethen, Oxford University 1. publication Cambridge [u.a.] Cambridge University Press 2002 XVI, 132 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge Monographs on Applied and Computational Mathematics 8 Applications conformes Conformal mapping Schwarz-Christoffel-Formel (DE-588)4253352-1 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Schwarz-Christoffel-Formel (DE-588)4253352-1 s DE-604 Konforme Abbildung (DE-588)4164968-0 s Trefethen, Lloyd N. 1955- Verfasser (DE-588)135818818 aut Cambridge Monographs on Applied and Computational Mathematics 8 (DE-604)BV011073737 8 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009789676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Driscoll, Tobin Allen 1969- Trefethen, Lloyd N. 1955- Schwarz-Christoffel mapping Cambridge Monographs on Applied and Computational Mathematics Applications conformes Conformal mapping Schwarz-Christoffel-Formel (DE-588)4253352-1 gnd Konforme Abbildung (DE-588)4164968-0 gnd |
| subject_GND | (DE-588)4253352-1 (DE-588)4164968-0 |
| title | Schwarz-Christoffel mapping |
| title_auth | Schwarz-Christoffel mapping |
| title_exact_search | Schwarz-Christoffel mapping |
| title_full | Schwarz-Christoffel mapping Tobin A. Driscoll, University of Delaware, Lloyd N. Trefethen, Oxford University |
| title_fullStr | Schwarz-Christoffel mapping Tobin A. Driscoll, University of Delaware, Lloyd N. Trefethen, Oxford University |
| title_full_unstemmed | Schwarz-Christoffel mapping Tobin A. Driscoll, University of Delaware, Lloyd N. Trefethen, Oxford University |
| title_short | Schwarz-Christoffel mapping |
| title_sort | schwarz christoffel mapping |
| topic | Applications conformes Conformal mapping Schwarz-Christoffel-Formel (DE-588)4253352-1 gnd Konforme Abbildung (DE-588)4164968-0 gnd |
| topic_facet | Applications conformes Conformal mapping Schwarz-Christoffel-Formel Konforme Abbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009789676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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