System for evaluating multiple integrals

Details System for evaluating multiple integrals System for evaluating multiple integrals

1990-03-27

1991-07-09

Shaw, Dale M.

Boots, shoes, and leggings

G06F 738

Patent

active

050311344

ABSTRACT:
A system for computing multiple integrals employs an algorithm which selects a plurality of predetermined parameters, corresponding to selectable levels of accuracy of an approximation at the solution. The parameter values are selected and stored, along with a smoothing index, which may be zero. An arithmetic logic unit, which can perform a variety of functions under control of an instruction decoder, forms a plurality of functions in the form of unique polynomials, under predetermined conditions, such that a value (SI) can be determined for the multiple integral. The parameters are selected in response to a judgment on the part of the user of a required minimum level of accuracy in the context of the increases in computing time which would be required to achieve higher levels of accuracy.

REFERENCES:
patent: 3676656 (1972-07-01), Schmidt
patent: 4156922 (1979-05-01), Majerski et al.
patent: 4246642 (1981-01-01), Magill
patent: 4398263 (1983-08-01), Ito
Lovesing et al., "An All Digital Hybrid Computer", 1974 Conf. on Computer Systems & Technology, London, Eng., Oct., 1974, pp. 49-57.
Press et al., Numerical Recipes The Art of Scientific Computing, pp. 126-130, Cambridge Univ. Press, 1986.

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