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Matematicheskie Zametki, 1973, Volume 13, Issue 2, Pages 207–215 (Mi mzm7090)  
A bound for the error in the numerical integration of a first order quasilinear equation

R. V. Razumeiko

M. V. Lomonosov Moscow State University
Full-text PDF (477 kB)
Abstract: We obtain a bound for the error in the numerical integration of the quasilinear equation $u_t+(\varphi(u))_x=0$ by a finite difference method in the case when $\varphi''(u)\ge0$
Received: 12.04.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 2, Pages 124–129
DOI: https://doi.org/10.1007/BF01094229
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: R. V. Razumeiko, “A bound for the error in the numerical integration of a first order quasilinear equation”, Mat. Zametki, 13:2 (1973), 207–215; Math. Notes, 13:2 (1973), 124–129
Citation in format AMSBIB
\Bibitem{Raz73}
\by R.~V.~Razumeiko
\paper A~bound for the error in the numerical integration of a first order quasilinear equation
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 2
\pages 207--215
\mathnet{http://mi.mathnet.ru/mzm7090}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=317556}
\zmath{https://zbmath.org/?q=an:0352.65053}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 2
\pages 124--129
\crossref{https://doi.org/10.1007/BF01094229}
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