Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 43-53
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We discuss the results of numerical experiment of solving an ill-posed Cauchy problem for the wave equation. We give the instrumental function for the regularizing algorithm applied here and carry out the analysis of stability.
@article{ZNSL_2016_451_a3,
author = {M. N. Demchenko and N. V. Filimonenkova},
title = {Regularization of an ill-posed {Cauchy} problem for the wave equation (numerical experiment)},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {43--53},
publisher = {mathdoc},
volume = {451},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a3/}
}
TY - JOUR AU - M. N. Demchenko AU - N. V. Filimonenkova TI - Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment) JO - Zapiski Nauchnykh Seminarov POMI PY - 2016 SP - 43 EP - 53 VL - 451 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a3/ LA - ru ID - ZNSL_2016_451_a3 ER -
%0 Journal Article %A M. N. Demchenko %A N. V. Filimonenkova %T Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment) %J Zapiski Nauchnykh Seminarov POMI %D 2016 %P 43-53 %V 451 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a3/ %G ru %F ZNSL_2016_451_a3
M. N. Demchenko; N. V. Filimonenkova. Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 46, Tome 451 (2016), pp. 43-53. http://geodesic.mathdoc.fr/item/ZNSL_2016_451_a3/