Applied integral transforms:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R. I.
American Math. Soc.
1993
|
| Schriftenreihe: | CRM monograph series
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 265 S. |
| ISBN: | 0821869981 |
Internformat
MARC
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| 100 | 1 | |a Antimirov, Maksimil'jan Ja. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applied integral transforms |c M. Ya. Antimirov; A. A. Kolyshkin; Rémi Vaillancourt |
| 264 | 1 | |a Providence, R. I. |b American Math. Soc. |c 1993 | |
| 300 | |a XVIII, 265 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 700 | 1 | |a Koly/207skin, Andrej A. |e Verfasser |4 aut | |
| 700 | 1 | |a Vaillancourt, Rémi |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804142002778931200 |
|---|---|
| adam_text | Contents
List of Figures xiii
List of Tables xv
Preface xvii
Part 1
General Methods
Chapter 1. Introduction 3
1.1. The Scope of this Book 3
1.2. General References 5
Chapter 2. Basic Integral Transforms 9
Overview of the Method 9
2.1. The Laplace Transform 10
2.2. The Fourier Transform 13
2.3. Fourier sine and cosine Transforms 14
2.4. Hankel Transforms 15
2.5. Finite Fourier sine and cosine Transforms 16
2.6. Finite Hankel Transforms 18
2.7. Other Integral Transforms 18
Chapter 3. Kernels of Integral Transforms 21
3.1. A Method for Constructing Kernels 21
3.2. Kernels on a Finite Interval 26
3.3. Kernels on Circular Regions 34
3.4. Discrete to Continuous Spectrum 42
3.5. Kernel on a Semi-Infinite Interval 50
3.6. Kernel on a Radially Symmetric Plane 58
Problems 62
ix
x CONTENTS
Chapter 4. Hyperbolic Equations 65
4.1. One-Dimensional Wave Equations 65
4.2. The Telegraph and Other Equations 79
Problems 88
Chapter 5. Parabolic Equations 89
5.1. Parabolic Equations on Finite Domains 89
5.2. The Fundamental Solution 97
5.3. The One-Dimensional Heat Equation 101
5.4. Green s Functions by the Laplace Transform 107
Chapter 6. The Three-Dimensional Wave Equation 113
6.1. The Homogeneous Wave Equation 113
6.2. The Non-Homogeneous Wave Equation 119
6.3. The Method of Descent 120
Problems 124
Part 2
Applications
Chapter 7. Convective Stability Problems 127
7.1. A General Method of Solution 127
7.2. Navier-Stokes Equations 132
7.3. Convection in a Horizontal Layer 134
7.4. Vertical Circular Cylinder 139
7.5. Vertical Cylinder in a Magnetic Field 149
Chapter 8. Temperature Fields in Oil Strata 157
Chapter s Overview 157
8.1. The Basic Equations 157
8.2. The Incomplete Lumped Formulation 169
8.3. The Lumped Radial Case 177
8.4. Multi-Layer Stratum with Thermal Injection 185
8.5. Computation in a Multi-Layer Stratum 195
8.6. Exact Heat Contents with Asymmetry 203
8.7. The Lauwerier Solution 207
8.8. Finite Heat Transfer in a Single-Layer 215
Chapter 9. Eddy-Current Testing Problems 227
9.1. The Eddy-Current Method 227
9.2. The Perturbation Method 228
9.3. Formulation of the Problem 230
CONTENTS xi
9.4. Flaws of Rectangular Cross-Sections 231
9.5. Numerical Results 238
9.6. Finite Circular Cylindrical Flaws 239
9.7. Comparison With a Two-Layer Medium 245
Answers to the Problems 249
References 253
About the Authors 261
Index 263
|
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| author | Antimirov, Maksimil'jan Ja Koly/207skin, Andrej A. Vaillancourt, Rémi |
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| bvnumber | BV024973492 |
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| ctrlnum | (OCoLC)612110058 (DE-599)BVBBV024973492 |
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| id | DE-604.BV024973492 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:24:51Z |
| institution | BVB |
| isbn | 0821869981 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019641136 |
| oclc_num | 612110058 |
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| owner | DE-11 DE-188 |
| owner_facet | DE-11 DE-188 |
| physical | XVIII, 265 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Soc. |
| record_format | marc |
| series2 | CRM monograph series |
| spelling | Antimirov, Maksimil'jan Ja. Verfasser aut Applied integral transforms M. Ya. Antimirov; A. A. Kolyshkin; Rémi Vaillancourt Providence, R. I. American Math. Soc. 1993 XVIII, 265 S. txt rdacontent n rdamedia nc rdacarrier CRM monograph series 2 Integraltransformation (DE-588)4027235-7 gnd rswk-swf Integraltransformation (DE-588)4027235-7 s DE-188 Koly/207skin, Andrej A. Verfasser aut Vaillancourt, Rémi Verfasser aut Centre de Recherches Mathématiques <Montréal> CRM monograph series 2 (DE-604)BV007928388 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019641136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Antimirov, Maksimil'jan Ja Koly/207skin, Andrej A. Vaillancourt, Rémi Applied integral transforms Integraltransformation (DE-588)4027235-7 gnd |
| subject_GND | (DE-588)4027235-7 |
| title | Applied integral transforms |
| title_auth | Applied integral transforms |
| title_exact_search | Applied integral transforms |
| title_full | Applied integral transforms M. Ya. Antimirov; A. A. Kolyshkin; Rémi Vaillancourt |
| title_fullStr | Applied integral transforms M. Ya. Antimirov; A. A. Kolyshkin; Rémi Vaillancourt |
| title_full_unstemmed | Applied integral transforms M. Ya. Antimirov; A. A. Kolyshkin; Rémi Vaillancourt |
| title_short | Applied integral transforms |
| title_sort | applied integral transforms |
| topic | Integraltransformation (DE-588)4027235-7 gnd |
| topic_facet | Integraltransformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019641136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007928388 |
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