Application of Faber polynomials to the approximate solution of the Riemann problem
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Publication:1729413
DOI10.1007/s11253-017-1341-7zbMath1490.30020OpenAlexW2620873384MaRDI QIDQ1729413
Michail A. Sheshko, Paweł Wójcik, Dorota Pylak
Publication date: 27 February 2019
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-017-1341-7
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of conformal mappings (30C35) Boundary value problems in the complex plane (30E25)
Cites Work
- Bohr's phenomenon on a regular condenser in the complex plane
- Approximation in compact sets by \(q\)-Stancu-Faber polynomials
- Approximations of singular integral equations on Lyapunov contours in Banach spaces
- Approximation of functions by partial sums of series of Faber polynomials on continua with nonzero local geometric characteristic
- Approximation by Faber polynomials for a class of Jordan domains
- Polynomial approximation in Smirnov-Orlicz classes
- Application of Faber polynomials to the approximate solution of singular integral equations with the Cauchy kernel
- The refined metric dimension with applications
- On Faber polynomials and Faber expansions
- Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane
- The Riemann boundary value problem on non-rectifiable curves and related questions
- On solvability of inhomogeneous nonlinear power-type boundary value problem
- Solutions of the Dirichlet Problem in the Plane by Approximation with Faber Polynomials
- Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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