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.
@article{MM_1990_2_10_a14,
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},
pages = {141--156},
year = {1990},
volume = {2},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1990_2_10_a14/}
}
TY - JOUR AU - V. A. Il'in AU - A. I. Zhilayev AU - V. V. Tikhomirov TI - On solving eiconal equation in vertically non-homogeneous strata JO - Matematičeskoe modelirovanie PY - 1990 SP - 141 EP - 156 VL - 2 IS - 10 UR - http://geodesic.mathdoc.fr/item/MM_1990_2_10_a14/ LA - ru ID - MM_1990_2_10_a14 ER -
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/