Computational integration:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
SIAM
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 445 S. |
| ISBN: | 0898713749 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV012181627 | ||
| 003 | DE-604 | ||
| 005 | 20090807 | ||
| 007 | t | ||
| 008 | 981006s1998 |||| 00||| eng d | ||
| 020 | |a 0898713749 |9 0-89871-374-9 | ||
| 035 | |a (OCoLC)467623282 | ||
| 035 | |a (DE-599)BVBBV012181627 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T |a DE-91G |a DE-19 |a DE-634 |a DE-11 | ||
| 082 | 1 | |a 518.54 |2 22 | |
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 084 | |a MAT 655f |2 stub | ||
| 100 | 1 | |a Krommer, Arnold R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Computational integration |c Arnold R. Krommer ; Christoph W. Ueberhuber |
| 264 | 1 | |a Philadelphia |b SIAM |c 1998 | |
| 300 | |a XIX, 445 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Intégration numérique |2 ram | |
| 650 | 7 | |a algorithme intégration |2 inriac | |
| 650 | 7 | |a intégration calcul |2 inriac | |
| 650 | 7 | |a intégration numérique |2 inriac | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integration |0 (DE-588)4027238-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerische Integration |0 (DE-588)4172168-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Integration |0 (DE-588)4027238-2 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Numerische Integration |0 (DE-588)4172168-8 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Überhuber, Christoph W. |d 1946-2016 |e Verfasser |0 (DE-588)11800025X |4 aut | |
| 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=008254908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008254908 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804126798037909504 |
|---|---|
| adam_text | Contents
Preface ix
Notation xiii
I Introduction 1
CHAPTER 1. Mathematical Foundations of Integration 3
1.1 Riemann Integrals 3
1.2 Improper Integrals 10
1.3 Cauchy Principal Value Integrals 14
1.4 Hadamard Finite Part Integrals 17
1.5 Curve and Surface Integrals 24
CHAPTER 2. Computational Integration in Practice 29
2.1 Computational Statistics 30
2.2 Integral Transforms 33
2.3 Finite Element Methods 37
2.4 Boundary Integral Methods 44
CHAPTER 3. Fundamentals of Computational Integration 49
3.1 Integration Problems 49
3.2 Problem Settings 52
3.3 Integration Methods 56
3.4 The Conditioning of Integration Problems 62
3.5 Software for Computational Integration 66
3.6 The Preprocessing of Integrals 75
3.7 The Postprocessing of Integrals 79
v
vi
II Symbolic Integration 89
CHAPTER 4. Symbolic Integration 91
4.1 Representations and Operations in Algebraic Computation . . 92
4.2 The Problem of Symbolic Integration 99
4.3 Integration of Rational Functions 101
4.4 Integration of Elementary Functions 103
4.5 Integration of Nonelementary Functions 107
4.6 Definite Integration 108
4.7 Symbolic Methods for Preprocessing Integration Problems ... 110
III Numerical Integration 111
CHAPTER 5. Univariate Integration Formulas 113
5.1 Construction of Quadrature Formulas 114
5.2 Simple Interpolatory Quadrature Formulas 125
5.3 Compound Quadrature Formulas 144
CHAPTER 6. Multivariate Integration Formulas 155
6.1 Construction of Cubature Formulas 155
6.2 Polynomial Formulas 165
6.3 Number Theoretic Formulas 185
6.4 Pseudorandom Formulas 202
6.5 Lattice Rules 213
6.6 Miscellaneous Formulas 232
CHAPTER 7. Methods for Special Integration Problems 235
7.1 Oscillatory Integrals on Bounded Regions 235
7.2 Integrals on Unbounded Regions 244
7.3 Weakly Singular Integrals 265
7.4 Cauchy Singular Integrals 276
7.5 Finite Part Integrals 290
CHAPTER 8. Integration Algorithms 297
8.1 Error Estimation 298
8.2 Discretization Refinement 318
8.3 Special Features of Integration Algorithms 330
CHAPTER 9. Parallel Numerical Integration 349
9.1 Parallelism in Integration Algorithms 349
9.2 Parallelization Schemes for Integration Algorithms 358
9.3 Practical Parallelization of Integration Algorithms 371
CONTENTS vii
CHAPTER 10. Assessment of Numerical Integration Software 387
10.1 Assessment Criteria 387
10.2 Assessment Techniques 392
Bibliography 401
Author Index 425
Software Index 431
Subject Index 435
|
| any_adam_object | 1 |
| author | Krommer, Arnold R. Überhuber, Christoph W. 1946-2016 |
| author_GND | (DE-588)11800025X |
| author_facet | Krommer, Arnold R. Überhuber, Christoph W. 1946-2016 |
| author_role | aut aut |
| author_sort | Krommer, Arnold R. |
| author_variant | a r k ar ark c w ü cw cwü |
| building | Verbundindex |
| bvnumber | BV012181627 |
| classification_rvk | SK 910 |
| classification_tum | MAT 655f |
| ctrlnum | (OCoLC)467623282 (DE-599)BVBBV012181627 |
| dewey-full | 518.54 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.54 |
| dewey-search | 518.54 |
| dewey-sort | 3518.54 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01874nam a2200469 c 4500</leader><controlfield tag="001">BV012181627</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090807 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">981006s1998 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0898713749</subfield><subfield code="9">0-89871-374-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)467623282</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012181627</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-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="1" ind2=" "><subfield code="a">518.54</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 655f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krommer, Arnold R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational integration</subfield><subfield code="c">Arnold R. Krommer ; Christoph W. Ueberhuber</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia</subfield><subfield code="b">SIAM</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIX, 445 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="7"><subfield code="a">Intégration numérique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">algorithme intégration</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">intégration calcul</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">intégration numérique</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integration</subfield><subfield code="0">(DE-588)4027238-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Integration</subfield><subfield code="0">(DE-588)4172168-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Integration</subfield><subfield code="0">(DE-588)4027238-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</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">Numerische Integration</subfield><subfield code="0">(DE-588)4172168-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Überhuber, Christoph W.</subfield><subfield code="d">1946-2016</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)11800025X</subfield><subfield code="4">aut</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=008254908&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:BVB01-008254908</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV012181627 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:23:10Z |
| institution | BVB |
| isbn | 0898713749 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008254908 |
| oclc_num | 467623282 |
| open_access_boolean | |
| owner | DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-11 |
| owner_facet | DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-11 |
| physical | XIX, 445 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | SIAM |
| record_format | marc |
| spelling | Krommer, Arnold R. Verfasser aut Computational integration Arnold R. Krommer ; Christoph W. Ueberhuber Philadelphia SIAM 1998 XIX, 445 S. txt rdacontent n rdamedia nc rdacarrier Intégration numérique ram algorithme intégration inriac intégration calcul inriac intégration numérique inriac Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Integration (DE-588)4027238-2 gnd rswk-swf Numerische Integration (DE-588)4172168-8 gnd rswk-swf Integration (DE-588)4027238-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Numerische Integration (DE-588)4172168-8 s 1\p DE-604 Überhuber, Christoph W. 1946-2016 Verfasser (DE-588)11800025X aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008254908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krommer, Arnold R. Überhuber, Christoph W. 1946-2016 Computational integration Intégration numérique ram algorithme intégration inriac intégration calcul inriac intégration numérique inriac Numerisches Verfahren (DE-588)4128130-5 gnd Integration (DE-588)4027238-2 gnd Numerische Integration (DE-588)4172168-8 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4027238-2 (DE-588)4172168-8 |
| title | Computational integration |
| title_auth | Computational integration |
| title_exact_search | Computational integration |
| title_full | Computational integration Arnold R. Krommer ; Christoph W. Ueberhuber |
| title_fullStr | Computational integration Arnold R. Krommer ; Christoph W. Ueberhuber |
| title_full_unstemmed | Computational integration Arnold R. Krommer ; Christoph W. Ueberhuber |
| title_short | Computational integration |
| title_sort | computational integration |
| topic | Intégration numérique ram algorithme intégration inriac intégration calcul inriac intégration numérique inriac Numerisches Verfahren (DE-588)4128130-5 gnd Integration (DE-588)4027238-2 gnd Numerische Integration (DE-588)4172168-8 gnd |
| topic_facet | Intégration numérique algorithme intégration intégration calcul intégration numérique Numerisches Verfahren Integration Numerische Integration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008254908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT krommerarnoldr computationalintegration AT uberhuberchristophw computationalintegration |