Cover Image

Application of Faber polynomials to approximate solution of the Riemann problem

In the paper, Faber polynomials are used to derive an approximate solution of the Riemann problem on a Lyapunov curve. Moreover, an estimation of the error of the approximated solution is presented and proved.

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	Pylak, D., Sheshko, M. A., Wójcik, P., Пилак, Д., Шешко, М. А., Войчик, П.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1954
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Application of Faber polynomials to approximate solution of the Riemann problem
by: M. A. Sheshko, et al.
Published: (2016)

Application of the Faber polynomials in proving combinatorial identities
by: F. H. Abdullaiev, et al.
Published: (2018)

Application of the Faber polynomials in proving combinatorial identities
by: Imash, kyzy M., et al.
Published: (2018)

Approximate solution of a dominant singular integral equation with conjugation
by: Pylak, D., et al.
Published: (2021)

Faber polynomials with common roots
by: V. V. Savchuk
Published: (2014)

Approximate solution of a dominant singular integral equation with conjugation
by: D. Pylak, et al.
Published: (2021)

On the polynomial approximation of solution for the Cauchy problem
by: Ismailov , Z. I., et al.
Published: (1991)

On theory of multivalent solutions for Riemann Hilbert problem
by: Ryazanov, V.
Published: (2015)

On theory of multivalent solutions for Riemann-Hilbert problem
by: V. I. Ryazanov
Published: (2015)

Estimates of groups of deviations of faber sums and strong summability of faber series on classes of ψ-integrals
by: Lasuriya, R. A., et al.
Published: (2004)

On polynomial approximation of solutions of differential-operator equations
by: Orudzhev, G. D., et al.
Published: (1993)

On the regular solutions of the Riemann–Hilbert problem for the Betrami equations
by: A. S. Efimushkin, et al.
Published: (2014)

Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization
by: Grünbaum, F.A., et al.
Published: (2011)

Some properties of biorthogonal polynomials and their application to Padé approximations
by: Holub, A. P., et al.
Published: (1994)

Classes of $(\psi, \beta)$-differential functions of complex variable and approximation by linear averages of their Faber series
by: Stepanec, A.I., et al.
Published: (1992)

On multivalent solutions of the Riemann–Hilbert problem in multiply connected domains
by: A. S. Efimushkin
Published: (2016)

Exact and approximate solutions of spectral problems for the Schrödinger operator on (−∞,∞) with polynomial potential
by: Makarov, V. L., et al.
Published: (2018)

Quasiunconditional basis property of the Faber–Schauder system
by: M. G. Grigorjan, et al.
Published: (2019)

Quasiunconditional basis property of the Faber – Schauder system
by: Grigoryan, M. G., et al.
Published: (2019)

Dzyadyk formula for summation of double Faber series
by: Tsvil', M. M., et al.
Published: (1994)

Polynomial approximations of solutions of higher-order operator-differential equations
by: Orudzhev, G. D., et al.
Published: (1994)

A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
by: Little, Alex
Published: (2024)

Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
by: Garcia-Failde, E., et al.
Published: (2019)

Piecewise-polynomial approximations for the solutions of impulsive differential equations
by: V. I. Bilenko, et al.
Published: (2019)

Piecewise-polynomial approximations for the solutions of impulsive differential equations
by: Bilenko, V. I., et al.
Published: (2019)

Approximation of solutions of operator-differential equations by operator polynomials
by: Kashpirovskii, A. I., et al.
Published: (1998)

Approximate representation for a natural power of the Riemann ζ-function
by: Mel'nik, V. I., et al.
Published: (1998)

Exact and approximate solutions of spectral problems for the Schrцdinger operator on (−∞,∞) with polynomial potential
by: V. L. Makarov
Published: (2018)

Solution of the Riemann – Hilbert problem for a holomorphic vector by the Bouligand – Giraud method
by: Zh. A. Tokibetov, et al.
Published: (2018)

Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)

Summation of p-Faber series by the Abel–poisson method in the integral metric
by: Savchuk, V. V., et al.
Published: (2010)

On Some Problems of Polynomial Approximation of Entire Transcendental Functions
by: Vakarchuk, S. B., et al.
Published: (2002)

On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis
by: Beltraminelli, S., et al.
Published: (2012)

On the Dirichlet problem for generalized Cauchy-Riemann equations
by: Gutlyanskii, V.Yu., et al.
Published: (2025)

On the Riemann-Hilbert problem for the Beltrami equations in quasidisks
by: A. S. Efimushkin, et al.
Published: (2015)

Uniqueness of the solution of the Riemann-Hilbert problem for a rarefaction wave of the Korteweg-de Vries equation
by: K. N. Andreev, et al.
Published: (2017)

Application of the approximate solutions of the shell theory for the problem on concentrated force action on the hollow cylinder
by: Ya. R. Dubyk, et al.
Published: (2019)

On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis
by: Sekatskii, S.K., et al.
Published: (2012)

Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with a polynomial potential in Rk, k≥2
by: V. L. Makarov
Published: (2018)