Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aebr_v1_0.tar.gz(25 Kbytes) | ||
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Manuscript Title: Gauss-Legendre and Chebyshev quadratures for singular integrals | ||

Authors: A. Deloff | ||

Program title: SINGQUAD | ||

Catalogue identifier: AEBR_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 179(2008)908 | ||

Programming language: Fortran 90. | ||

Computer: Any with a Fortran 90 compiler. | ||

Operating system: Linux, Windows, Mac. | ||

RAM: Depending on the complexity of the problem | ||

Keywords: Gauss-Legendre quadrature, singular integral. | ||

PACS: 02.60.Jh, 02.40.Xx. | ||

Classification: 4.11. | ||

Nature of problem:Program provides Gauss-Legendre and Chebyshev (Fejér-1) weights for various singular integrands | ||

Solution method:The weights are obtained from the condition that the quadrature of order N must be exact for a polynomial of degree ≤(N-1). The weights are expressed as moments of the singular kernels associated with Legendre or Chebyshev polynomials. These moments are obtained in analytic form amenable for computation. | ||

Additional comments:If the NAGWare f95 compiler is used, the option, "-kind=byte", must be included in the compile command lines of the Makefile. | ||

Running time:The test run supplied with the distribution takes a couple of seconds to execute. |

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