Geodesic
Algorithm of exact solution of generalized four-element Riemann--Hilbert boundary problem with rational coefficients and its programm realization
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 6 (2010), pp. 4-11

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An algorithm for an exact solution of the generalized four-element Riemann–Hilbert boundary problem with rational coefficients on unit cirle was suggested. An algorithm is based on a reduction of the problem to the matrix Riemann boundary problem. The Maple procedure for a realization of the algorithm is made. Calculations in the field ${\mathbb Q}(i)$ are used.
Keywords: Markushevich boundary problem, generalized four-element Riemann–Hilbert boundary problem
Mots-clés : explicit and exact solutions. 
@article{VYURU_2010_6_a0,
     author = {V. M. Adukov and A. A. Patrushev},
     title = {Algorithm of exact solution of generalized four-element {Riemann--Hilbert} boundary problem with rational coefficients  and its programm realization},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {4--11},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2010_6_a0/}
}
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V. M. Adukov; A. A. Patrushev. Algorithm of exact solution of generalized four-element Riemann--Hilbert boundary problem with rational coefficients  and its programm realization. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 6 (2010), pp. 4-11. http://geodesic.mathdoc.fr/item/VYURU_2010_6_a0/