Elsevier Science Home
Computer Physics Communications Program Library
Full text online from Science Direct
Programs in Physics & Physical Chemistry
CPC Home

[Licence| Download | New Version Template] acxu_v1_0.gz(4 Kbytes)
Manuscript Title: A numerical calculation of multidimensional integrals.
Authors: K. Zakrzewska, J. Dudek, W. Nazarewicz
Program title: KOROBO
Catalogue identifier: ACXU_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 14(1978)299
Programming language: Fortran.
Computer: CDC 6400.
Operating system: SCOPE.
RAM: 21K words
Word size: 60
Keywords: General purpose, Numerical integration, Quadrature, Multiple integrals, Korobov method.
Classification: 4.11.

Nature of problem:
Calculation of the multidimensional integrals of quantum mechanics, quantum chemsitry, nuclear physics, solid state physics etc., for example: calculation of the single particle overlap integrals, matrix elements of the single particle hamiltonian (e.g. Coulomb interaction potentials).

Solution method:
The method is based on the number theory approach. The multidimensional integrals are approximated by finite sums of the function values calculated for a specially optimized lattice.

Running time:
The running time depends strongly on the complexity of the function to be integrated and on the declared number, N, of grid points of the lattice.