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Matematicheskie Zametki, 1975, Volume 18, Issue 5, Pages 753–766 (Mi mzm7687)  
An estimate on the error in a numerical integration of a quasilinear equation with a regular degeneracy

R. V. Razumeiko

M. V. Lomonosov Moscow State University
Full-text PDF (759 kB)
Abstract: For the case of a regular degeneracy of the convexity condition an estimate is obtained for the convergence $O(h\ln1/h)$ of a numerical integration of the quasilinear equation $u_t+(\varphi(u))_x=0$.
Received: 14.05.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 5, Pages 1038–1045
DOI: https://doi.org/10.1007/BF01153573
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: R. V. Razumeiko, “An estimate on the error in a numerical integration of a quasilinear equation with a regular degeneracy”, Mat. Zametki, 18:5 (1975), 753–766; Math. Notes, 18:5 (1975), 1038–1045
Citation in format AMSBIB
\Bibitem{Raz75}
\by R.~V.~Razumeiko
\paper An estimate on the error in a~numerical integration of a~quasilinear equation with a~regular degeneracy
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 5
\pages 753--766
\mathnet{http://mi.mathnet.ru/mzm7687}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=403243}
\zmath{https://zbmath.org/?q=an:0335.65048}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 5
\pages 1038--1045
\crossref{https://doi.org/10.1007/BF01153573}
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