Ukrainian Mathematical Journal

, Volume 68, Issue 12, pp 1965–1974 | Cite as

Application of Faber Polynomials to the Approximate Solution of the Riemann Problem

  • M. A. Sheshko
  • D. Pylak
  • P. Wójcik

The Faber polynomials are used to obtain approximate solutions of the Riemann problem on a Lyapunov curve. Moreover, an estimate for the error of the approximated solution is presented and proved.


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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • M. A. Sheshko
    • 1
  • D. Pylak
    • 1
  • P. Wójcik
    • 1
  1. 1.John Paul II Catholic UniversityLublinPoland

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