Applied partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2004
|
| Edition: | 2. ed. |
| Series: | Undergraduate texts in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 181 S. graph. Darst. |
| ISBN: | 0387209530 0387209352 9780387209531 |
Staff View
MARC
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| 245 | 1 | 0 | |a Applied partial differential equations |c J. David Logan |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2004 | |
| 300 | |a XII, 181 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804132802766045184 |
|---|---|
| adam_text | Contents
Preface
to the Second Edition
......................................
v
Tb
the Student
.....................................................ix
Chapter
1:
The Physical Origins of Partial Differential
Equations
...........................................................1
1.1
Mathematical Models
........................................1
1.2
Conservation Laws
...........................................9
1.3
Diffusion
....................................................16
1.4
PDEs in Biologj
.............................................22
1.5
Vibrations and Acoustics
....................................32
1.6
Quantum Mechanics*
.......................................39
1.7
Heat Flow in Three Dimensions
............................42
1.8
Laplace s Equation
..........................................47
1.9
Classification of PDEs
.......................................52
Chapter
2:
Partial Differential Equations on Unbounded
Domains
...........................................................58
2.1
Cauchy Problem for the Heat Equation
......................58
2.2
Cauchy Problem for the Wave Equation
.....................64
2.3
Ill-Posed Problems
..........................................69
2.4
Semi-Infinite Domains
......................................72
2.5
Sources and Duhamel s Principle
............................76
Contents
2.6
Laplace Transforms
.........................................81
2.7
Fourier Transforms
.........................................86
2.8
Solving PDEs Using Computer Algebra Systems*
............92
Chapter
3:
Orthogonal Expansions
...............................96
3.1
The Fourier Method
.........................................96
3.2
Orthogonal Expansions
.....................................98
3.3
Classical Fourier Series
....................................107
3.4
Sturm-Liouville Problems
..................................112
Chapter
4:
Partial Differential Equations on Bounded
Domains
..........................................................121
4.1
Separation of Variables
.....................................121
4.2
Flux and Radiation Conditions
.............................129
4.3
Laplace s Equation
.........................................136
4.4
Cooling of a Sphere
........................................143
4.5
Diffusion in a Disk
.........................................148
4.6
Sources on Bounded Domains
..............................153
4.7
Parameter Identification Problems*
........................156
4.8
Finite Difference Methods*
................................161
Chapter
5:
Partial Differential Equations in the
Life Sciences
......................................................172
5.1
Age-Structured Models
.....................................172
5.2
Traveling Wave Fronts
.....................................181
5.3
Equilibria and Stability
.....................................187
Appendix: Ordinary Differential Equations
....................197
Table of Laplace Transforms
.....................................203
References
........................................................205
Index
..............................................................207
|
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| ctrlnum | (OCoLC)249759642 (DE-599)BVBBV019366130 |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV019366130 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:58:37Z |
| institution | BVB |
| isbn | 0387209530 0387209352 9780387209531 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012829736 |
| oclc_num | 249759642 |
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| physical | XII, 181 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Springer |
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| series2 | Undergraduate texts in mathematics |
| spelling | Logan, J. David 1944- Verfasser (DE-588)120361000 aut Applied partial differential equations J. David Logan 2. ed. New York [u.a.] Springer 2004 XII, 181 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012829736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Logan, J. David 1944- Applied partial differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4123623-3 |
| title | Applied partial differential equations |
| title_auth | Applied partial differential equations |
| title_exact_search | Applied partial differential equations |
| title_full | Applied partial differential equations J. David Logan |
| title_fullStr | Applied partial differential equations J. David Logan |
| title_full_unstemmed | Applied partial differential equations J. David Logan |
| title_short | Applied partial differential equations |
| title_sort | applied partial differential equations |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Partielle Differentialgleichung Lehrbuch |
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