Geodesic
An estimate on the error in a~numerical integration of a~quasilinear equation with a~regular degeneracy
Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 753-766.

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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 $u_t+(\varphi(u))_x=0$. 
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     author = {R. V. Razumeiko},
     title = {An estimate on the error in a~numerical integration of a~quasilinear equation with a~regular degeneracy},
     journal = {Matemati\v{c}eskie zametki},
     pages = {753--766},
     publisher = {mathdoc},
     volume = {18},
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     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/}
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R. V. Razumeiko. An estimate on the error in a~numerical integration of a~quasilinear equation with a~regular degeneracy. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 753-766. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a11/