A Note on Cubature over a Triangle of a Function Having Specified Singularities
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The conical product rules for integration over a triangle ABC are well known. In this note, we discuss conical product rules with weight function w(x)rß where r is the distance of (x,y) from C and x is the distance of (x,y) from AB. In particular we show how to construct rules which are exact for integrand functions pλ(x,y)hμ(r) where pλ and hμ are polynomials of degree λ and μ, respectively.
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