On the approximate calculation of double integrals

Author:
Moshe Levin

Journal:
Math. Comp. **40** (1983), 273-282

MSC:
Primary 65D32; Secondary 41A55, 65D30

DOI:
https://doi.org/10.1090/S0025-5718-1983-0679445-9

MathSciNet review:
679445

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Abstract: Cubature formulas are obtained which are optimal or asymptotically optimal on given sets of functions. These formulas consist of line integrals which may be evaluated by optimal or asymptotically optimal quadrature formulas. The advantage of these formulas over the optimal and asymptotically optimal cubature formulas with rectangular-lattices of knots is shown.

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DOI:
https://doi.org/10.1090/S0025-5718-1983-0679445-9

Article copyright:
© Copyright 1983
American Mathematical Society