Iterative methods for calculating static fields and wave scattering by small bodies:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1982
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 122 S. |
| ISBN: | 0387906827 3540906827 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002075452 | ||
| 003 | DE-604 | ||
| 005 | 20131211 | ||
| 007 | t | ||
| 008 | 890928s1982 |||| 00||| eng d | ||
| 020 | |a 0387906827 |9 0-387-90682-7 | ||
| 020 | |a 3540906827 |9 3-540-90682-7 | ||
| 035 | |a (OCoLC)8283751 | ||
| 035 | |a (DE-599)BVBBV002075452 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-384 |a DE-19 |a DE-634 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QC157 | |
| 082 | 0 | |a 530.1/24 |2 19 | |
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a 35C15 |2 msc | ||
| 084 | |a ELT 044f |2 stub | ||
| 084 | |a 45E10 |2 msc | ||
| 084 | |a ELT 042f |2 stub | ||
| 084 | |a 65R20 |2 msc | ||
| 100 | 1 | |a Ramm, Alexander G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Iterative methods for calculating static fields and wave scattering by small bodies |c Alexander G. Ramm |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1982 | |
| 300 | |a 122 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Electrostatics |x Mathematics | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 4 | |a Scattering (Physics) |x Mathematics | |
| 650 | 4 | |a Waves |x Mathematics | |
| 650 | 0 | 7 | |a Elektrostatisches Feld |0 (DE-588)4151980-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Berechnung |0 (DE-588)4120997-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektromagnetische Streuung |0 (DE-588)4194512-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elektromagnetische Streuung |0 (DE-588)4194512-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Elektrostatisches Feld |0 (DE-588)4151980-2 |D s |
| 689 | 1 | 1 | |a Berechnung |0 (DE-588)4120997-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001357809&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001357809 | ||
Record in the Search Index
| _version_ | 1804116525963018240 |
|---|---|
| adam_text | Table of Contents
Page
PREFACE xi
INTRODUCTION 1
CHAPTER 1. BASIC PROBLEMS 5
51, Statement of the Electrostatic Problems for Perfect
Conductors 5
§2. Statement of the Basic Problem for Dielectric Bodies 8
§3. Reduction of the Basic Problems to Fredholm s Integral
Equations of the Second Kind 9
§4. Reduction of the Static Problems to Fredholm s Integral
Equations of the First Kind 13
CHAPTER 2. ITERATIVE PROCESSES FOR SOLVING FREDHOLM S INTEGRAL
EQUATIONS FOR THE STATIC PROBLEMS 15
§1. An Iterative Process for Solving the Problem of Equilib¬
rium Charge Distribution and Charge Distribution on a
Conductor Placed in an Exterior Static Field 15
§2. An Iterative Process for Solving the Problem of Dielectric
Bodies in an Exterior Static Field 17
§3. A Stable Iterative Process for Finding the Equilibrium
Charge Distribution 22
§4. An Iterative Process for Calculating the Equilibrium
Charge Distribution on the Surface of a Screen 23
CHAPTER 3. CALCULATING ELECTRIC CAPACITANCE 25
51. Capacitance of Solid Conductors and Screens 25
§2. Variational Principles and Two Sided Estimates of
Capacitance 27
§3. Capacitance of Conductors in an Anisotropic and Nonhomo
geneous Medium 31
§4. Physical Analogues of Capacitance 35
§5. Calculating the Potential Coefficients 36
CHAPTER 4. NUMERICAL EXAMPLES 41
1. Introduction 41
2. Capacitance of a Circular Cylinder 41
3. Capacitance of a Parallelepiped of Arbitrary Shape 44
4. Interaction Between Conductors 48
CHAPTER 5. CALCULATING THE POLARIZABILITY TENSOR 49
1. Calculating the Polarizability Tensor of a Solid body 49
2. The Polarizability Tensor of a Thin Metallic Screen 52
3. The Polarizability Tensors of a Flaky Homogeneous Body
or a System of Bodies 53
4. Variational Principles for Polarizability 55
Page
CHAPTER 6. ITERATIVE METHODS OF SOLVING SOME INTEGRAL EQUATIONS
BASIC IN THE THEORY OF STATIC FIELDS: MATHEMATICAL
RESULTS 63
§1. Iterative Methods of Solving the Fredholm Equations of
the Second Kind at a Characteristic Value 63
§2. Iterative Processes for Solving Some Operator Equations 70
§3. Iterative Processes for Solving the Exterior and Interior
Boundary Value Problems 73
§4. An Iterative Process for Solving the Fredholm Integral
Equations of the First Kind with Pointwise Positive
Kernel 81
CHAPTER 7. WAVE SCATTERING BY SMALL BODIES 85
§ 1. Introduction 85
§2. Scalar Wave Scattering: The Single Body Problem 86
§3. Scalar Wave Scattering: The Many Body Problem 92
§4. Electromagnetic Wave Scattering 97
§5. Radiation from Small Apertures and the Skin Effect for
Thin Wires 104
§6. The Inverse Problem of Radiation Theory 109
PROBLEMS 113
BIBLIOGRAPHICAL NOTES 115
BIBLIOGRAPHY 117
LIST OF SYMBOLS 121
|
| any_adam_object | 1 |
| author | Ramm, Alexander G. |
| author_facet | Ramm, Alexander G. |
| author_role | aut |
| author_sort | Ramm, Alexander G. |
| author_variant | a g r ag agr |
| building | Verbundindex |
| bvnumber | BV002075452 |
| callnumber-first | Q - Science |
| callnumber-label | QC157 |
| callnumber-raw | QC157 |
| callnumber-search | QC157 |
| callnumber-sort | QC 3157 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 920 SK 950 |
| classification_tum | ELT 044f ELT 042f |
| ctrlnum | (OCoLC)8283751 (DE-599)BVBBV002075452 |
| dewey-full | 530.1/24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/24 |
| dewey-search | 530.1/24 |
| dewey-sort | 3530.1 224 |
| dewey-tens | 530 - Physics |
| discipline | Physik Elektrotechnik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01987nam a2200541 c 4500</leader><controlfield tag="001">BV002075452</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20131211 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1982 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387906827</subfield><subfield code="9">0-387-90682-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540906827</subfield><subfield code="9">3-540-90682-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)8283751</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002075452</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC157</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1/24</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35C15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ELT 044f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">45E10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ELT 042f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65R20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ramm, Alexander G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Iterative methods for calculating static fields and wave scattering by small bodies</subfield><subfield code="c">Alexander G. Ramm</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1982</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">122 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrostatics</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative methods (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scattering (Physics)</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Waves</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elektrostatisches Feld</subfield><subfield code="0">(DE-588)4151980-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Berechnung</subfield><subfield code="0">(DE-588)4120997-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elektromagnetische Streuung</subfield><subfield code="0">(DE-588)4194512-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Elektromagnetische Streuung</subfield><subfield code="0">(DE-588)4194512-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Elektrostatisches Feld</subfield><subfield code="0">(DE-588)4151980-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Berechnung</subfield><subfield code="0">(DE-588)4120997-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001357809&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001357809</subfield></datafield></record></collection> |
| id | DE-604.BV002075452 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:39:54Z |
| institution | BVB |
| isbn | 0387906827 3540906827 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001357809 |
| oclc_num | 8283751 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-634 DE-83 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-634 DE-83 DE-188 |
| physical | 122 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Springer |
| record_format | marc |
| spelling | Ramm, Alexander G. Verfasser aut Iterative methods for calculating static fields and wave scattering by small bodies Alexander G. Ramm New York [u.a.] Springer 1982 122 S. txt rdacontent n rdamedia nc rdacarrier Mathematik Electrostatics Mathematics Iterative methods (Mathematics) Scattering (Physics) Mathematics Waves Mathematics Elektrostatisches Feld (DE-588)4151980-2 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Elektromagnetische Streuung (DE-588)4194512-8 gnd rswk-swf Elektromagnetische Streuung (DE-588)4194512-8 s DE-604 Elektrostatisches Feld (DE-588)4151980-2 s Berechnung (DE-588)4120997-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001357809&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ramm, Alexander G. Iterative methods for calculating static fields and wave scattering by small bodies Mathematik Electrostatics Mathematics Iterative methods (Mathematics) Scattering (Physics) Mathematics Waves Mathematics Elektrostatisches Feld (DE-588)4151980-2 gnd Berechnung (DE-588)4120997-7 gnd Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| subject_GND | (DE-588)4151980-2 (DE-588)4120997-7 (DE-588)4194512-8 |
| title | Iterative methods for calculating static fields and wave scattering by small bodies |
| title_auth | Iterative methods for calculating static fields and wave scattering by small bodies |
| title_exact_search | Iterative methods for calculating static fields and wave scattering by small bodies |
| title_full | Iterative methods for calculating static fields and wave scattering by small bodies Alexander G. Ramm |
| title_fullStr | Iterative methods for calculating static fields and wave scattering by small bodies Alexander G. Ramm |
| title_full_unstemmed | Iterative methods for calculating static fields and wave scattering by small bodies Alexander G. Ramm |
| title_short | Iterative methods for calculating static fields and wave scattering by small bodies |
| title_sort | iterative methods for calculating static fields and wave scattering by small bodies |
| topic | Mathematik Electrostatics Mathematics Iterative methods (Mathematics) Scattering (Physics) Mathematics Waves Mathematics Elektrostatisches Feld (DE-588)4151980-2 gnd Berechnung (DE-588)4120997-7 gnd Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| topic_facet | Mathematik Electrostatics Mathematics Iterative methods (Mathematics) Scattering (Physics) Mathematics Waves Mathematics Elektrostatisches Feld Berechnung Elektromagnetische Streuung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001357809&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rammalexanderg iterativemethodsforcalculatingstaticfieldsandwavescatteringbysmallbodies |