Geodesic
A~bound for the error in the numerical integration of a first order quasilinear equation
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 207-215.

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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 $\varphi''(u)\ge0$ 
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     author = {R. V. Razumeiko},
     title = {A~bound for the error in the numerical integration of a first order quasilinear equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {207--215},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/}
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R. V. Razumeiko. A~bound for the error in the numerical integration of a first order quasilinear equation. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 207-215. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a4/