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We consider boundary integral equations (BIEs) met in the scattering bydielectric cylinders and compare numerical algorithms based on elementary andMuller's BIEs near the "numerical resonances". A procedure of partial removalof well-known defect of elementary BIEs related to the loss of their uniquesolvability is discussed.

Comparison of numerical algorithms based on elementary and Muller's boundary integral equations in the scattering by dielectric cylinders