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The exact order of information-based complexity of weakly singular integral equations with periodic analytic coefficients
Authors:M. Azizov
Affiliation:(1) Institute of Mathematics, National Academy of Sciences of Ukraine, Russia
Abstract:The exact order of complexity of weakly singular integral equations including logarithmic singularities with periodic and analytic coefficients is found. This class of equations contains the boundary equations of exterior boundary value problems for the two-dimensional Helmholtz equation. Translated fromMatematicheskie Zarnetki, Vol. 62, No. 5, pp. 643–656, November, 1997. Translated by O. V. Sipacheva
Keywords:information-based complexity  ε  -complexity  weakly singular equations  boundary value problems  Helmholtz equation
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