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[Licence| Download | New Version Template] aetp_v1_0.tar.gz(39 Kbytes)
Manuscript Title: Extended Gaussian quadratures for functions with an end-point singularity of logarithmic type
Authors: K. Pachucki, M. Puchalski, V.A. Yerokhin
Program title: GAUSEXT
Catalogue identifier: AETP_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 185(2014)2913
Programming language: Mathematica, Fortran.
Computer: PCs or higher performance computers.
Operating system: Linux, Windows, MacOS.
RAM: Kilobytes.
Keywords: Quadratures, Numerical integration, End-point singularity.
PACS: 02.60.Jh.
Classification: 4.11.

Nature of problem:
Quadrature formulas for numerical integration, effective for a wide class of functions with end-point singularities of logarithmic type.

Solution method:
The method of solution is based on the algorithm developed in Ref. [1] with some modifications.

Running time:
Milliseconds to minutes.

References:
[1] J. Ma, V. Rokhlin, S. Wandzura, Generalized gaussian quadrature rules for systems of arbitrary functions, Soc. Indust. Appl. Math. J. Numer. Anal. 33 (3) (1996) 971 - 996.