Asymptotic expansions for two-dimensional hypersingular integrals (Q2575161)

Following the ideas from the authors' earlier paper [ibid. 81, 273--291 (1998; Zbl 0932.41027)], they obtain variants of the classicsl Euler-Maclaurin expansion for some two-dimensional integrals. The constant term in the expansion provides the value of Hadamard finite-part integral and by this way, the purposed expansion may be used for the numerical evaluation of Hadamard finite-part integrals.