Solution techniques for elementary partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL
Chapman & Hall/CRC Press
2002
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| Series: | Chapman & Hall/CRC mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 253 S. graph. Darst. |
| ISBN: | 1584882573 |
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Record in the Search Index
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| adam_text | SOLUTION TECHNIQUES FOR ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS / CONSTANDA, CHRISTIAN : C2002
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CHAPTER 1. ORDINARY DIFFERENTIAL EQUATIONS: BRIEF REVISION 1
1.1. FIRST-ORDER EQUATIONS 1
1.2. HOMOGENEOUS LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 3
1.3. NONHOMOGENEOUS LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 5
1.4. LINEAR OPERATORS 6
EXERCISES 8
CHAPTER 2. FOURIER SERIES 11
2.1. THE FULL FOURIER SERIES 11
2.2. FOURIER SINE SERIES 17
2.3. FOURIER COSINE SERIES 21
2.4. CONVERGENCE AND DIFFERENTIATION 24
EXERCISES 25
CHAPTER 3. STURM-LIOUVILLE PROBLEMS 29
3.1. REGULAR STURM-LIOUVILLE PROBLEMS 29
3.2. OTHER STURM-LIOUVILLE PROBLEMS 40
EXERCISES 44
CHAPTER 4. THREE FUNDAMENTAL EQUATIONS OF MATHEMATICAL
PHYSICS 49
4.1. THE HEAT EQUATION 49
4.2. THE LAPLACE EQUATION 57
4.3. THE WAVE EQUATION 63
CHAPTER 5. THE METHOD OF SEPARATION OF VARIABLES 69
5.1. THE HEAT EQUATION 69
5.2. THE WAVE EQUATION 82
5.3. THE LAPLACE EQUATION 88
5.4. EQUATIONS WITH MORE THAN TWO VARIABLES 96
EXERCISES 104
CHAPTER 6. LINEAR NONHOMOGENEOUS PROBLEMS 111
6.1. EQUILIBRIUM SOLUTIONS 111
6.2. NONHOMOGENEOUS PROBLEMS 116
EXERCISES 120
CHAPTER 7. THE METHOD OF EIGENFUNCTION EXPANSION 123
7.1. THE HEAT EQUATION 123
7.2. THE WAVE EQUATION 129
7.3. THE LAPLACE EQUATION 132
EXERCISES 135
CHAPTER 8. THE FOURIER TRANSFORMATIONS 141
8.1. THE FULL FOURIER TRANSFORMATION 141
8.2. THE FOURIER SINE AND COSINE TRANSFORMATIONS 147
EXERCISES 154
CHAPTER 9. THE LAPLACE TRANSFORMATION 157
9.1. DEFINITION AND PROPERTIES 157
9.2. APPLICATIONS 162EXERCISES 172
CHAPTER 10. THE METHOD OF GREEN S FUNCTIONS 175
10.1. THE HEAT EQUATION 175
10.2. THE LAPLACE EQUATION 182
10.3. THE WAVE EQUATION 185
EXERCISES 191
CHAPTER 11. GENERAL SECOND-ORDER LINEAR PARTIAL
DIFFERENTIAL EQUATIONS WITH TWO INDEPENDENT
VARIABLES 195
11.1. THE CANONICAL FORM 195
11.2. HYPERBOLIC EQUATIONS 199
11.3. PARABOLIC EQUATIONS 202
11.4. ELLIPTIC EQUATIONS 204
EXERCISES 205
CHAPTER 12. THE METHOD OF CHARACTERISTICS 207
12.1. FIRST-ORDER LINEAR EQUATIONS 207
12.2. FIRST-ORDER QUASILINEAR EQUATIONS 214
12.3. THE ONE-DIMENSIONAL WAVE EQUATION 215
EXERCISES 222
CHAPTER 13. PERTURBATION AND ASYMPTOTIC METHODS 225
13.1. ASYMPTOTIC SERIES 225
13.2. REGULAR PERTURBATION PROBLEMS 228
13.3. SINGULAR PERTURBATION PROBLEMS 234
EXERCISES 240.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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| indexdate | 2024-07-09T19:02:09Z |
| institution | BVB |
| isbn | 1584882573 |
| language | English |
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| publishDate | 2002 |
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| series2 | Chapman & Hall/CRC mathematics |
| spelling | Constanda, Christian 1944- Verfasser (DE-588)112608027 aut Solution techniques for elementary partial differential equations Christian Constanda Boca Raton, FL Chapman & Hall/CRC Press 2002 XVI, 253 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC mathematics Differential equations, Partial Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844675&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Constanda, Christian 1944- Solution techniques for elementary partial differential equations Differential equations, Partial Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Solution techniques for elementary partial differential equations |
| title_auth | Solution techniques for elementary partial differential equations |
| title_exact_search | Solution techniques for elementary partial differential equations |
| title_full | Solution techniques for elementary partial differential equations Christian Constanda |
| title_fullStr | Solution techniques for elementary partial differential equations Christian Constanda |
| title_full_unstemmed | Solution techniques for elementary partial differential equations Christian Constanda |
| title_short | Solution techniques for elementary partial differential equations |
| title_sort | solution techniques for elementary partial differential equations |
| topic | Differential equations, Partial Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial Numerical solutions Partielle Differentialgleichung |
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