Geodesic
Recovering a~tsunami source and designing an observational system based on the $r$-solution method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 343-356

Voir la notice de l'article provenant de la source Math-Net.Ru

This study deals with the application of the $r$-solution method to recover the initial tsunami waveform in a tsunami source area by inverting the remote water-level measurements for a real event. The inverse problem in question is regarded as the so-called ill-posed problem and it is regularized by means of the least square inversion using the truncated Singular Value Decomposition method. The method presented allows one to control the instability of the numerical solution and to obtain an acceptable result in spite of the ill-posedness of the problem. Moreover, it is possible to make a preliminary prediction of the quality of the inversion with a given set of observational stations and to estimate further changes in the inversion result after modifying the monitoring system. 
@article{SJVM_2016_19_4_a0,
     author = {T. A. Voronina},
     title = {Recovering a~tsunami source and designing an observational system based on the $r$-solution method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {343--356},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a0/}
}
TY  - JOUR
AU  - T. A. Voronina
TI  - Recovering a~tsunami source and designing an observational system based on the $r$-solution method
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2016
SP  - 343
EP  - 356
VL  - 19
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a0/
LA  - ru
ID  - SJVM_2016_19_4_a0
ER  - 
%0 Journal Article
%A T. A. Voronina
%T Recovering a~tsunami source and designing an observational system based on the $r$-solution method
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2016
%P 343-356
%V 19
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a0/
%G ru
%F SJVM_2016_19_4_a0
T. A. Voronina. Recovering a~tsunami source and designing an observational system based on the $r$-solution method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 343-356. http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a0/