On the evaluation of double integrals

Levin, Moshe

doi:10.1090/S0025-5718-1982-0658221-6

On the evaluation of double integrals
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Math. Comp. 39 (1982), 173-177 Request permission

Abstract:

A cubature formula consisting of line integrals which is optimal on a set of functions satisfying given boundary conditions is obtained. The line integrals of this formula may be evaluated by optimal quadrature formulas. The advantage of this formula over the optimal cubature formula with a rectangular lattice of knots is shown. This approach to optimal cubatures was stimulated by the idea of blending [1], [2].

References

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