Multiple grid methods for equations of the second kind with applications in fluid mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Amsterdam
Math. Centrum
1983
|
| Series: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
163 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | III, 133 S. graph. Darst. |
| ISBN: | 9061962609 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002013545 | ||
| 003 | DE-604 | ||
| 005 | 19940317 | ||
| 007 | t | ||
| 008 | 890928s1983 d||| m||| 00||| eng d | ||
| 020 | |a 9061962609 |9 90-6196-260-9 | ||
| 035 | |a (OCoLC)10330103 | ||
| 035 | |a (DE-599)BVBBV002013545 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-29T |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA431 | |
| 082 | 0 | |a 515.45 |b S336m | |
| 084 | |a PHY 220d |2 stub | ||
| 084 | |a MAT 673d |2 stub | ||
| 100 | 1 | |a Schippers, Harmen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiple grid methods for equations of the second kind with applications in fluid mechanics |c H. Schippers |
| 264 | 1 | |a Amsterdam |b Math. Centrum |c 1983 | |
| 300 | |a III, 133 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 163 | |
| 502 | |a Zugl.: Delft, Univ., Diss. | ||
| 650 | 4 | |a Equation intégrale Fredholm | |
| 650 | 7 | |a Fluides, Dynamique des |2 ram | |
| 650 | 7 | |a Fredholm, Opérateurs de |2 ram | |
| 650 | 4 | |a Maillage | |
| 650 | 4 | |a Mécanique fluide | |
| 650 | 4 | |a Table analyse numérique | |
| 650 | 4 | |a Théorie potentiel | |
| 650 | 4 | |a Fluid dynamics | |
| 650 | 4 | |a Fredholm equations |x Numerical solutions | |
| 650 | 0 | 7 | |a Mehrgitterverfahren |0 (DE-588)4038376-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fredholm-Integralgleichung |0 (DE-588)4155261-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Fredholm-Integralgleichung |0 (DE-588)4155261-1 |D s |
| 689 | 0 | 1 | |a Mehrgitterverfahren |0 (DE-588)4038376-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 163 |w (DE-604)BV000893527 |9 163 | |
| 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=001314270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001314270 | ||
Record in the Search Index
| _version_ | 1804116461930676224 |
|---|---|
| adam_text | TABLE OF CONTENTS
Table of contents ¦*•
Acknowledgements w
1. INTRODUCTION
1.1. Compact operators 1
1.2. Projection methods 3
1.3. Multiple grid methods 4
1.4. Scope of the study 7
2. MULTIPLE GRID METHODS FOR THE SOLUTION OF FREDHOLM INTEGRAL
EQUATIONS OF THE SECOND KIND 11
2.1. Introduction 11
2.2. Basic assumptions and results l2
2.3. Iteration schemes with Nystrom interpolation 15
2.4. Iteration schemes with projection into finite dimensional
subspaces 21
2.5. Numerical results 26
3. AUTOMATIC NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE
SECOND KIND 37
3.1. Introduction 37
3.2. Theoretical foundations 38
3.3. Automatic program . • • 43
3.4. Numerical results • 49
Appendix • • 54
4. MULTIPLE GRID METHODS FOR INTEGRAL EQUATIONS IN POTENTIAL THEORY. 59
4.1. Regularity result 60
4.2. Error analysis 70
4.3. Multiple grid methods 80
4.4. Numerical results for smooth contours 87
4.5. Application of multiple grid methods to the calculation of
circulatory flow around an aerofoil 93
5. OSCILLATING DISK FLOW 111
5.1. Introduction. . 112
5.2. Analytical results • 114
5.3. Numerical approach 117
Author index . 129
Subject index • 130
|
| any_adam_object | 1 |
| author | Schippers, Harmen |
| author_facet | Schippers, Harmen |
| author_role | aut |
| author_sort | Schippers, Harmen |
| author_variant | h s hs |
| building | Verbundindex |
| bvnumber | BV002013545 |
| callnumber-first | Q - Science |
| callnumber-label | QA431 |
| callnumber-raw | QA431 |
| callnumber-search | QA431 |
| callnumber-sort | QA 3431 |
| callnumber-subject | QA - Mathematics |
| classification_tum | PHY 220d MAT 673d |
| ctrlnum | (OCoLC)10330103 (DE-599)BVBBV002013545 |
| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.45 |
| dewey-search | 515.45 |
| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02118nam a2200541 cb4500</leader><controlfield tag="001">BV002013545</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19940317 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1983 d||| m||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9061962609</subfield><subfield code="9">90-6196-260-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)10330103</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002013545</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-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA431</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.45</subfield><subfield code="b">S336m</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 220d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 673d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schippers, Harmen</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multiple grid methods for equations of the second kind with applications in fluid mechanics</subfield><subfield code="c">H. Schippers</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="b">Math. Centrum</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">III, 133 S.</subfield><subfield code="b">graph. Darst.</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="490" ind1="1" ind2=" "><subfield code="a">Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts</subfield><subfield code="v">163</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Delft, Univ., Diss.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Equation intégrale Fredholm</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fluides, Dynamique des</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fredholm, Opérateurs de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Maillage</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mécanique fluide</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Table analyse numérique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie potentiel</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fredholm equations</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mehrgitterverfahren</subfield><subfield code="0">(DE-588)4038376-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fredholm-Integralgleichung</subfield><subfield code="0">(DE-588)4155261-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fredholm-Integralgleichung</subfield><subfield code="0">(DE-588)4155261-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mehrgitterverfahren</subfield><subfield code="0">(DE-588)4038376-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts</subfield><subfield code="v">163</subfield><subfield code="w">(DE-604)BV000893527</subfield><subfield code="9">163</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=001314270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001314270</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV002013545 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:53Z |
| institution | BVB |
| isbn | 9061962609 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001314270 |
| oclc_num | 10330103 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-83 DE-188 |
| physical | III, 133 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Math. Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spelling | Schippers, Harmen Verfasser aut Multiple grid methods for equations of the second kind with applications in fluid mechanics H. Schippers Amsterdam Math. Centrum 1983 III, 133 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 163 Zugl.: Delft, Univ., Diss. Equation intégrale Fredholm Fluides, Dynamique des ram Fredholm, Opérateurs de ram Maillage Mécanique fluide Table analyse numérique Théorie potentiel Fluid dynamics Fredholm equations Numerical solutions Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf Fredholm-Integralgleichung (DE-588)4155261-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fredholm-Integralgleichung (DE-588)4155261-1 s Mehrgitterverfahren (DE-588)4038376-3 s DE-604 Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 163 (DE-604)BV000893527 163 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001314270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schippers, Harmen Multiple grid methods for equations of the second kind with applications in fluid mechanics Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts Equation intégrale Fredholm Fluides, Dynamique des ram Fredholm, Opérateurs de ram Maillage Mécanique fluide Table analyse numérique Théorie potentiel Fluid dynamics Fredholm equations Numerical solutions Mehrgitterverfahren (DE-588)4038376-3 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| subject_GND | (DE-588)4038376-3 (DE-588)4155261-1 (DE-588)4113937-9 |
| title | Multiple grid methods for equations of the second kind with applications in fluid mechanics |
| title_auth | Multiple grid methods for equations of the second kind with applications in fluid mechanics |
| title_exact_search | Multiple grid methods for equations of the second kind with applications in fluid mechanics |
| title_full | Multiple grid methods for equations of the second kind with applications in fluid mechanics H. Schippers |
| title_fullStr | Multiple grid methods for equations of the second kind with applications in fluid mechanics H. Schippers |
| title_full_unstemmed | Multiple grid methods for equations of the second kind with applications in fluid mechanics H. Schippers |
| title_short | Multiple grid methods for equations of the second kind with applications in fluid mechanics |
| title_sort | multiple grid methods for equations of the second kind with applications in fluid mechanics |
| topic | Equation intégrale Fredholm Fluides, Dynamique des ram Fredholm, Opérateurs de ram Maillage Mécanique fluide Table analyse numérique Théorie potentiel Fluid dynamics Fredholm equations Numerical solutions Mehrgitterverfahren (DE-588)4038376-3 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| topic_facet | Equation intégrale Fredholm Fluides, Dynamique des Fredholm, Opérateurs de Maillage Mécanique fluide Table analyse numérique Théorie potentiel Fluid dynamics Fredholm equations Numerical solutions Mehrgitterverfahren Fredholm-Integralgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001314270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT schippersharmen multiplegridmethodsforequationsofthesecondkindwithapplicationsinfluidmechanics |