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The incorporation of analytical kernel information is exploited in theconstruction of Nystr\"om discretization schemes for integral equationsmodeling planar Helmholtz boundary value problems. Splittings of kernels andmatrices, coarse and fine grids, high-order polynomial interpolation, productintegration performed on the fly, and iterative solution are some of thenumerical techniques used to seek rapid and stable convergence of computedfields in the entire computational domain.

Variants of an explicit kernel-split panel-based Nystr\"om discretization scheme for Helmholtz boundary value problems