Numerical Integration: Recent Developments, Software and Applications
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1992
|
| Schriftenreihe: | NATO ASI Series, Series C: Mathematical and Physical Sciences
357 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were represented. Eleven invited lectures and twenty-three contributed lectures were presented, of which twenty-five appear in full in this volume, together with three extended abstracts and one note. The main focus of the workshop was to survey recent progress in the theory of methods for the calculation of integrals and show how the theoretical results have been used in software development and in practical applications. The papers in this volume fall into four broad categories: numerical integration rules, numerical integration error analysis, numerical integration applications and numerical integration algorithms and software. It is five years since the last workshop of this nature was held, at Dalhousie University in Halifax, Canada, in 1986. Recent theoretical developments have mostly occurred in the area of integration rule construction. For polynomial integrating rules, invariant theory and ideal theory have been used to provide lower bounds on the numbers of points for different types of multidimensional rules, and to help in structuring the nonlinear systems which must be solved to determine the points and weights for the rules. Many new optimal or near optimal rules have been found for a variety of integration regions using these techniques |
| Beschreibung: | 1 Online-Ressource (XII, 367 p) |
| ISBN: | 9789401126465 9789401051699 |
| ISSN: | 1389-2185 |
| DOI: | 10.1007/978-94-011-2646-5 |
Internformat
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| 490 | 1 | |a NATO ASI Series, Series C: Mathematical and Physical Sciences |v 357 |x 1389-2185 | |
| 500 | |a This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were represented. Eleven invited lectures and twenty-three contributed lectures were presented, of which twenty-five appear in full in this volume, together with three extended abstracts and one note. The main focus of the workshop was to survey recent progress in the theory of methods for the calculation of integrals and show how the theoretical results have been used in software development and in practical applications. The papers in this volume fall into four broad categories: numerical integration rules, numerical integration error analysis, numerical integration applications and numerical integration algorithms and software. It is five years since the last workshop of this nature was held, at Dalhousie University in Halifax, Canada, in 1986. Recent theoretical developments have mostly occurred in the area of integration rule construction. For polynomial integrating rules, invariant theory and ideal theory have been used to provide lower bounds on the numbers of points for different types of multidimensional rules, and to help in structuring the nonlinear systems which must be solved to determine the points and weights for the rules. Many new optimal or near optimal rules have been found for a variety of integration regions using these techniques | ||
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| spelling | Numerical Integration Recent Developments, Software and Applications edited by Terje O. Espelid, Alan Genz Proceedings of the NATO Advanced Research Workshop, Bergen, Norway, June 17-21, 1991 Dordrecht Springer Netherlands 1992 1 Online-Ressource (XII, 367 p) txt rdacontent c rdamedia cr rdacarrier NATO ASI Series, Series C: Mathematical and Physical Sciences 357 1389-2185 This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were represented. Eleven invited lectures and twenty-three contributed lectures were presented, of which twenty-five appear in full in this volume, together with three extended abstracts and one note. The main focus of the workshop was to survey recent progress in the theory of methods for the calculation of integrals and show how the theoretical results have been used in software development and in practical applications. The papers in this volume fall into four broad categories: numerical integration rules, numerical integration error analysis, numerical integration applications and numerical integration algorithms and software. It is five years since the last workshop of this nature was held, at Dalhousie University in Halifax, Canada, in 1986. Recent theoretical developments have mostly occurred in the area of integration rule construction. For polynomial integrating rules, invariant theory and ideal theory have been used to provide lower bounds on the numbers of points for different types of multidimensional rules, and to help in structuring the nonlinear systems which must be solved to determine the points and weights for the rules. Many new optimal or near optimal rules have been found for a variety of integration regions using these techniques Computer science Electronic data processing Computer science / Mathematics Algorithms Computer Science Numeric Computing Computational Mathematics and Numerical Analysis Datenverarbeitung Informatik Mathematik Numerische Integration (DE-588)4172168-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1991 Bergen Norwegen gnd-content Numerische Integration (DE-588)4172168-8 s 2\p DE-604 Espelid, Terje O. edt Genz, Alan edt NATO ASI Series, Series C Mathematical and Physical Sciences 357 (DE-604)BV000902768 357 https://doi.org/10.1007/978-94-011-2646-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Numerical Integration Recent Developments, Software and Applications Computer science Electronic data processing Computer science / Mathematics Algorithms Computer Science Numeric Computing Computational Mathematics and Numerical Analysis Datenverarbeitung Informatik Mathematik Numerische Integration (DE-588)4172168-8 gnd |
| subject_GND | (DE-588)4172168-8 (DE-588)1071861417 |
| title | Numerical Integration Recent Developments, Software and Applications |
| title_alt | Proceedings of the NATO Advanced Research Workshop, Bergen, Norway, June 17-21, 1991 |
| title_auth | Numerical Integration Recent Developments, Software and Applications |
| title_exact_search | Numerical Integration Recent Developments, Software and Applications |
| title_full | Numerical Integration Recent Developments, Software and Applications edited by Terje O. Espelid, Alan Genz |
| title_fullStr | Numerical Integration Recent Developments, Software and Applications edited by Terje O. Espelid, Alan Genz |
| title_full_unstemmed | Numerical Integration Recent Developments, Software and Applications edited by Terje O. Espelid, Alan Genz |
| title_short | Numerical Integration |
| title_sort | numerical integration recent developments software and applications |
| title_sub | Recent Developments, Software and Applications |
| topic | Computer science Electronic data processing Computer science / Mathematics Algorithms Computer Science Numeric Computing Computational Mathematics and Numerical Analysis Datenverarbeitung Informatik Mathematik Numerische Integration (DE-588)4172168-8 gnd |
| topic_facet | Computer science Electronic data processing Computer science / Mathematics Algorithms Computer Science Numeric Computing Computational Mathematics and Numerical Analysis Datenverarbeitung Informatik Mathematik Numerische Integration Konferenzschrift 1991 Bergen Norwegen |
| url | https://doi.org/10.1007/978-94-011-2646-5 |
| volume_link | (DE-604)BV000902768 |
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