Polynomial Spline Approach for Double Integrals with Algebraic Singularity

In this note, cubature formulas are constructed to evaluate the double integrals on the rectangle with algebraic singularity by replacing the density function f(x,y) with the SΔ(P) modified spline function interpolation of type (0,2). Rate of convergence are obtained in the classes of function f(x,y) ∊ C2,α(D).

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