Programs in Physics & Physical Chemistry
|[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.|
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).
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.
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.
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