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The Computer Journal 1978 21(4):355-358; doi:10.1093/comjnl/21.4.355
© 1978 by British Computer Society
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Algorithms for multidimensional numerical integration with singularities

J. C. Romão and R. Vilela Mendes

Instituto de Fisica e Matematica, Av. Gama Pinto, 2, Lisboa, Portugal

Two algorithms for numerical multidimensional integration are described, which handle efficiently (integrable) singularities lying in arbitrary regions of the integration volume while keeping the memory requirements at the same level as in interval adaptation methods.

Received September 1977.

* Instituto de Fisica e Matemática, Av. Gama Pinto, 2, Lisboa-4, Portugal

§ For the general mathematical background of Monte Carlo adaptive integration see Lautrup (1971).


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