Geodesic
A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 1, pp. 33-51

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This paper proposes a method for the numerical solution of the direct one-dimensional problem of magnetotelluric sounding. The construction of difference schemes is realized by the local integral equations method. A natural variant of the interpolation of an approximate solution is considered. The estimate of convergence of the approximate solution to the exact one and the estimate of the interpolation error are proved. 
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     author = {O. B. Zabinyakova and S. N. Sklyar},
     title = {A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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O. B. Zabinyakova; S. N. Sklyar. A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 1, pp. 33-51. http://geodesic.mathdoc.fr/item/SJVM_2022_25_1_a2/