Numerical integration: recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991]
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1992
|
| Series: | NATO: [Nato ASI series / C]
357 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 367 S. Ill., graph. Darst. |
| ISBN: | 0792315839 |
Staff View
MARC
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| 245 | 1 | 0 | |a Numerical integration |b recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] |c ed. by Terje O. Espelid ... |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1992 | |
| 300 | |a XII, 367 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | TABLE
OF
CONTENTS
Preface
xi
Numerical Integration Rules
Ronald Cools
A Survey of Methods for Constructing
Cubature
Formulae
1
Karin Gaterman
η
Linear Representations of Finite Groups and the Ideal Theoretical
Construction of G-Invariant
Cubature
Formulas
25
Hans J.
Schmid
and H. Berens
On the Number of Nodes of Odd Degree
Cubature
Formulae for
Integrals with Jacobi Weights on a Simplex
37
Klaus-
J
ürgen Förster
On Quadrature Formulae near Gaussian Quadrature
45
Ian Sloan
Numerical Integration in High Dimensions
-
the Lattice Rule Approach
55
Harald Niederreiter
Existence Theorems for Efficient Lattice Rules
71
Bernard Bialecki
SIN
С
Quadratures for Cauchy Principal Value Integrals
81
Philip Rabinowitz and William E. Smith
Interpolatory
Product Integration in the Presence of
Singularities: Lp Theory
93
David B. Hunter
The Numerical Evaluation of Definite Integrals Affected by
Singularities Near the Interval of Integration 111
Nikolaos I. Ioakimidis
Application of Computer Algebra Software to the Derivation of
Numerical Integration Rules for Singular and Hypersingular Integrals
121
Numerical Integration Error Analysis
Walter Gautschi
Remainder Estimates for Analytic Functions
133
Helmut
Brass
Error Bounds Based on Approximation Theory
147
Knut Petras
One Sided L -Approximation and Bounds for Peano Kernels
165
Ricolindo
Cariño,
Ian Robinson and
Elise De Doncker
An Algebraic Study of the Levin Transformation in
Numerical Integration
175
Numerical Integration Applications
Günther Hämmerlin
Developments in Solving Integral Equations Numerically
187
Christoph
Schwab and Wolfgang L.
Wendland
Numerical Integration of Singular and Hypersingular Integrals
in Boundary Element Methods
203
James
N.
Lyness
On Handling Singularities in Finite Elements
219
Ken Hayami
A Robust Numerical Integration Method for
3-D
Boundary Element
Analysis and its Error Analysis using Complex Function Theory
235
Jarle Berntsen
On the Numerical Calculation of Multidimensional Integrals
Appearing in the Theory of Underwater Acoustics
249
Alan Genz
Statistics Applications of Subregion Adaptive Multiple
Numerical Integration.
267
Frank Stenger, Brian Keyes, Mike O Reilly and Ken Parker
The Sine Indefinite Integration and Initial Value Problems
281
Numerical Integration Algorithms and Software
Patrick Keast
Software for Integration over Triangles and General Simplices
283
Ricolindo
Cariño,
Ian Robinson and
Elise De
Doncker
An Algorithm for Automatic Integration of Certain Singular
Functions over a Triangle
295
Ronald
Cools and Ann Haegemans
CUBPACK: Progress Report
305
Elise de Doncker
and John Kapenga
Parallel
Cubature
on Loosely Coupled Systems
317
Marc Beckers and Ann Haegemans
Transformation of Integrands for Lattice Rules
329
Terje
0.
Espelid
DQAINT: An Algorithm for Adaptive Quadrature over
a Collection of Finite Intervals
341
Christoph
Schwab
A Note on Variable Knot, Variable Order Composite Quadrature
for Integrands with Power Singularities
343
Avram
Sidi
Computation of Oscillatory Infinite Integrals by Extrapolation
Methods
349
Appendix: Final Program
353
List of Participants
357
List of Contributors
361
Index
365
|
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| ctrlnum | (OCoLC)246256724 (DE-599)BVBBV005591213 |
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| genre | (DE-588)1071861417 Konferenzschrift 1991 Bergen Norwegen gnd-content |
| genre_facet | Konferenzschrift 1991 Bergen Norwegen |
| id | DE-604.BV005591213 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:32:01Z |
| institution | BVB |
| isbn | 0792315839 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003502467 |
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| physical | XII, 367 S. Ill., graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Kluwer |
| record_format | marc |
| series2 | NATO: [Nato ASI series / C] |
| spelling | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] ed. by Terje O. Espelid ... Dordrecht [u.a.] Kluwer 1992 XII, 367 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier NATO: [Nato ASI series / C] 357 Numerische Integration (DE-588)4172168-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1991 Bergen Norwegen gnd-content Numerische Integration (DE-588)4172168-8 s DE-604 Espelid, Terje O. Sonstige oth C] NATO: [Nato ASI series 357 (DE-604)BV000902768 357 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003502467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] Numerische Integration (DE-588)4172168-8 gnd |
| subject_GND | (DE-588)4172168-8 (DE-588)1071861417 |
| title | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] |
| title_auth | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] |
| title_exact_search | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] |
| title_full | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] ed. by Terje O. Espelid ... |
| title_fullStr | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] ed. by Terje O. Espelid ... |
| title_full_unstemmed | Numerical integration recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] ed. by Terje O. Espelid ... |
| title_short | Numerical integration |
| title_sort | numerical integration recent developments software and applications proceedings of the nato advanced research workshop on numerical integration recent developments software and applications bergen norway june 17 21 1991 |
| title_sub | recent developments, software and applications ; [proceedings of the NATO Advanced Research Workshop on Numerical Integration, Recent Developments, Software and Applications, Bergen, Norway, June 17 - 21, 1991] |
| topic | Numerische Integration (DE-588)4172168-8 gnd |
| topic_facet | Numerische Integration Konferenzschrift 1991 Bergen Norwegen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003502467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000902768 |
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