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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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 12, pp. 1696–1704, December, 2016.
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Sheshko, M.A., Pylak, D. & Wójcik, P. Application of Faber Polynomials to the Approximate Solution of the Riemann Problem. Ukr Math J 68, 1965–1974 (2017). https://doi.org/10.1007/s11253-017-1341-7
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DOI: https://doi.org/10.1007/s11253-017-1341-7