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Algorithm 698: DCUHRE: an adaptive multidemensional integration routine for a vector of integrals

Editor: John R. Rice Authors:

Jarle Berntsen,

Terje O. Espelid,

Alan GenzAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 17, Issue 4

Pages 452 - 456

https://doi.org/10.1145/210232.210234

Published: 01 December 1991 Publication History

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dcuhre - adaptive multidimensional integration for a vector of integrals Gams: h2b1a1

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References

[1]

BERNTSEN, J., ESPELID, T. O., AND GENZ, A. A test of ADMINT. Reports in Informatics 31, Dept. of Informatics, Univ. of Bergen, 1988.

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[2]

BERNTSEN, J., ESPELID, T. O., AND GENZ, A. An adaptive algorithm for the approximate calculation of multiple integrals. ACM Trans. Math. Softw. 27, 4 (Dec. 1991), 437-451.

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COWELL, W. R., AND GARBOW, S. B. Users guide to Toolpack/1 (Release 2) in a Unix environment. Teeh. Rep. ANL-87-12, Argonne National Laboratories, 1987.

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RicE, J.R. A metaalgorithm for adaptive quadrature. JACM. 22 (1975), 61-82.

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Aguilar AFerreira MPapavassiliou JSantos L(2024)Four-gluon vertex in collinear kinematicsThe European Physical Journal C10.1140/epjc/s10052-024-12970-984:7Online publication date: 8-Jul-2024
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Index Terms

Algorithm 698: DCUHRE: an adaptive multidemensional integration routine for a vector of integrals
1. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Numerical differentiation
    2. Quadrature
  2. Mathematical software

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Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 17, Issue 4

Dec. 1991

118 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/210232

Editor:
John R. Rice
Purdue Univ., West Lafayette, IN

Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 December 1991

Published in TOMS Volume 17, Issue 4

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https://doi.org/10.1140/epjc/s10052-024-13605-9
Aguilar AFerreira MPapavassiliou JSantos L(2024)Four-gluon vertex in collinear kinematicsThe European Physical Journal C10.1140/epjc/s10052-024-12970-984:7Online publication date: 8-Jul-2024
https://doi.org/10.1140/epjc/s10052-024-12970-9
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Algorithm 867: QUADLOG—a package of routines for generating Gauss-related quadrature for two classes of logarithmic weight functions

Algorithm 793: GQRAT—Gauss quadrature for rational functions

An interpolation algorithm for orthogonal rational functions

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