Mixed boundary value problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC Press
2008
|
| Series: | Chapman & Hall/CRC applied mathematics and nonlinear science series
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | 467 S. Ill., graph. Darst. 25 cm |
| ISBN: | 9781584885795 1584885793 |
Staff View
MARC
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| 020 | |a 9781584885795 |c alk. pape |9 978-1-58488-579-5 | ||
| 020 | |a 1584885793 |c alk. paper |9 1-58488-579-3 | ||
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| 100 | 1 | |a Duffy, Dean G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mixed boundary value problems |c Dean G. Duffy |
| 264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall/CRC Press |c 2008 | |
| 300 | |a 467 S. |b Ill., graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Chapman & Hall/CRC applied mathematics and nonlinear science series |v 15 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Problèmes aux limites - Solutions numériques | |
| 650 | 4 | |a Équations intégrales de frontière, Méthodes des | |
| 650 | 4 | |a Boundary element methods | |
| 650 | 4 | |a Boundary value problems |x Numerical solutions | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anfangsrandwertproblem |0 (DE-588)4001990-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Anfangsrandwertproblem |0 (DE-588)4001990-1 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
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| 830 | 0 | |a Chapman & Hall/CRC applied mathematics and nonlinear science series |v 15 |w (DE-604)BV019612358 |9 15 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-016663608 | ||
Record in the Search Index
| _version_ | 1804137907850575872 |
|---|---|
| adam_text | Contents
1
Overview
............................................................1
1.1
Examples of Mixed Boundary Value Problems
...................1
1.2
Integral Equations
.............................................13
1.3
Legendre Polynomials
..........................................22
1.4
Bessel Functions
...............................................27
2
Historical Background
............................................41
2.1
Nobili s Rings
.................................................41
2.2
Disc Capacitor
................................................45
2.3
Another Electrostatic Problem
.................................50
2.4
Griffith Cracks
................................................53
2.5
The Boundary Value Problem of Reissner and Sagoci
...........58
2.6
Steady Rotation of a Circular Disc
.............................72
3 Separation
of Variables
...........................................83
3.1
Dual Fourier Cosine Series
.....................................84
3.2
Dual Fourier Sine Series
......................................102
3.3
Dual Fourier-Bessel Series
....................................109
3.4
Dual Fourier-Legendre Series
.................................126
3.5
Triple Fourier Sine Series
.....................................157
4
Transform Methods
..............................................163
4.1
Dual Fourier Integrals
........................................165
4.2
Triple Fourier Integrals
.......................................202
4.3
Dual Fourier-Bessel Integrals
.................................210
4.4
Triple and Higher Fourier-Bessel Integrals
.....................284
4.5
Joint Transform Methods
.....................................318
5
The
Wiener-Hopf
Technique
....................................347
5.1
The
Wiener-Hopf
Technique When the Factorization
Contains No Branch Points
...................................353
5.2
The
Wiener-Hopf
Technique When the Factorization
Contains Branch Points
.......................................397
6
Green s Function
.................................................413
6.1
Green s Function with Mixed Boundary-Value Conditions
.....413
6.2
Integral Representations Involving Green s Functions
..........417
6.3
Potential Theory
.............................................436
7
Conformai
Mapping
..............................................443
7.1
The Mapping
z
=
w
+
a log(w)
...............................443
7.2
The Mapping tanh{nz/(2b)]
=
sn(u>, k)
........................445
7.3
The Mapping
z
=
w
+
Xy/w2
— 1 ..............................447
7.4
The Mapping
w
=
ai(z
-
a)/(z + a)
..........................449
7.5
The Mapping
z
=
2[w
-
arctan^)]
/тг .........................
452
7.6
The Mapping kw sa(w, kw)
=
kz sn(Kzz/a, kz)
.................457
Index
................................................................463
|
| adam_txt |
Contents
1
Overview
.1
1.1
Examples of Mixed Boundary Value Problems
.1
1.2
Integral Equations
.13
1.3
Legendre Polynomials
.22
1.4
Bessel Functions
.27
2
Historical Background
.41
2.1
Nobili's Rings
.41
2.2
Disc Capacitor
.45
2.3
Another Electrostatic Problem
.50
2.4
Griffith Cracks
.53
2.5
The Boundary Value Problem of Reissner and Sagoci
.58
2.6
Steady Rotation of a Circular Disc
.72
3 Separation
of Variables
.83
3.1
Dual Fourier Cosine Series
.84
3.2
Dual Fourier Sine Series
.102
3.3
Dual Fourier-Bessel Series
.109
3.4
Dual Fourier-Legendre Series
.126
3.5
Triple Fourier Sine Series
.157
4
Transform Methods
.163
4.1
Dual Fourier Integrals
.165
4.2
Triple Fourier Integrals
.202
4.3
Dual Fourier-Bessel Integrals
.210
4.4
Triple and Higher Fourier-Bessel Integrals
.284
4.5
Joint Transform Methods
.318
5
The
Wiener-Hopf
Technique
.347
5.1
The
Wiener-Hopf
Technique When the Factorization
Contains No Branch Points
.353
5.2
The
Wiener-Hopf
Technique When the Factorization
Contains Branch Points
.397
6
Green's Function
.413
6.1
Green's Function with Mixed Boundary-Value Conditions
.413
6.2
Integral Representations Involving Green's Functions
.417
6.3
Potential Theory
.436
7
Conformai
Mapping
.443
7.1
The Mapping
z
=
w
+
a log(w)
.443
7.2
The Mapping tanh{nz/(2b)]
=
sn(u>, k)
.445
7.3
The Mapping
z
=
w
+
Xy/w2
— 1 .447
7.4
The Mapping
w
=
ai(z
-
a)/(z + a)
.449
7.5
The Mapping
z
=
2[w
-
arctan^)]
/тг .
452
7.6
The Mapping kw sa(w, kw)
=
kz sn(Kzz/a, kz)
.457
Index
.463 |
| any_adam_object | 1 |
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| author | Duffy, Dean G. |
| author_facet | Duffy, Dean G. |
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| classification_rvk | SK 520 SK 920 |
| ctrlnum | (OCoLC)183392555 (DE-599)BVBBV023481485 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV023481485 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:38:06Z |
| indexdate | 2024-07-09T21:19:45Z |
| institution | BVB |
| isbn | 9781584885795 1584885793 |
| language | English |
| lccn | 2007049899 |
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| physical | 467 S. Ill., graph. Darst. 25 cm |
| publishDate | 2008 |
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| publisher | Chapman & Hall/CRC Press |
| record_format | marc |
| series | Chapman & Hall/CRC applied mathematics and nonlinear science series |
| series2 | Chapman & Hall/CRC applied mathematics and nonlinear science series |
| spelling | Duffy, Dean G. Verfasser aut Mixed boundary value problems Dean G. Duffy Boca Raton [u.a.] Chapman & Hall/CRC Press 2008 467 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC applied mathematics and nonlinear science series 15 Includes bibliographical references and index Problèmes aux limites - Solutions numériques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Chapman & Hall/CRC applied mathematics and nonlinear science series 15 (DE-604)BV019612358 15 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016663608&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Duffy, Dean G. Mixed boundary value problems Chapman & Hall/CRC applied mathematics and nonlinear science series Problèmes aux limites - Solutions numériques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4001990-1 |
| title | Mixed boundary value problems |
| title_auth | Mixed boundary value problems |
| title_exact_search | Mixed boundary value problems |
| title_exact_search_txtP | Mixed boundary value problems |
| title_full | Mixed boundary value problems Dean G. Duffy |
| title_fullStr | Mixed boundary value problems Dean G. Duffy |
| title_full_unstemmed | Mixed boundary value problems Dean G. Duffy |
| title_short | Mixed boundary value problems |
| title_sort | mixed boundary value problems |
| topic | Problèmes aux limites - Solutions numériques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| topic_facet | Problèmes aux limites - Solutions numériques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Numerical solutions Numerisches Verfahren Anfangsrandwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016663608&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV019612358 |
| work_keys_str_mv | AT duffydeang mixedboundaryvalueproblems |