Approximation methods for solutions of differential and integral equations. Transl. from the Russian

zbMath0839.65074MaRDI QIDQ1906227

V. K. Dzyadyk

Publication date: 11 February 1996

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

zbMATH Keywords

moment problemerror estimatesPadé approximationiterative methodLagrange interpolationFredholm integral equations of the second kindFourier seriesintegral representationsrational approximationapproximation of functionsChebyshev theory

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical analysis in abstract spaces (65J99)

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Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles ⋮ Algorithms and codes for the Macdonald function: Recent progress and comparisons. ⋮ Polynomial approximation of nonlinear differential systems with prefixed accuracy ⋮ Regarding polynomial approximation for ordinary differential equations ⋮ Resonant equations with classical orthogonal polynomials. I

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