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Manuscript Title: A numerical calculation of multidimensional integrals. | ||

Authors: K. Zakrzewska, J. Dudek, W. Nazarewicz | ||

Program title: KOROBO | ||

Catalogue identifier: ACXU_v1_0Distribution 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. |

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