Geodesic
On solving eiconal equation in vertically non-homogeneous strata
Matematičeskoe modelirovanie, Tome 2 (1990) no. 10, pp. 141-156.

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Existence and uniqueness of solution of the Cauchy problem for the eiconal equation is observed. An effective numerical method for time field expanding in vertically non-homogeneous gradient strata is proposed. Estimation of numerical method's initial data stability is obtained. 
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     author = {V. A. Il'in and A. I. Zhilayev and V. V. Tikhomirov},
     title = {On solving eiconal equation in vertically non-homogeneous strata},
     journal = {Matemati\v{c}eskoe modelirovanie},
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V. A. Il'in; A. I. Zhilayev; V. V. Tikhomirov. On solving eiconal equation in vertically non-homogeneous strata. Matematičeskoe modelirovanie, Tome 2 (1990) no. 10, pp. 141-156. http://geodesic.mathdoc.fr/item/MM_1990_2_10_a14/