Geodesic
Difference methods for solving quasilinear differential equations of first order. Part I
Numerical methods and programming, Tome 4 (2003) no. 3, pp. 16-27.

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We consider a number of finite-difference schemes for solving quasilinear differential equations of first order. These schemes are used by students of the Faculty of Mechanics and Mathematics (Moscow State University) for solving their educational problems with computers. The work was supported by the Russian Foundation for Basic Research (02-01-00490).
Keywords: finite-difference schemes, quasilinear equations, numerical methods, partial differential equations. 
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     author = {A. V. Popov},
     title = {Difference methods for solving quasilinear differential equations of first order. {Part} {I}},
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A. V. Popov. Difference methods for solving quasilinear differential equations of first order. Part I. Numerical methods and programming, Tome 4 (2003) no. 3, pp. 16-27. http://geodesic.mathdoc.fr/item/VMP_2003_4_3_a2/