Geodesic
The one-dimensional inverse problem of finding a~tsunami source
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 87-99

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We consider in the one-dimensional version a model inverse problem of finding the initial state of the ocean surface. We prove that the initial state is uniquely determined by the oscillation regime of a sole point on the ocean surface. We give algorithms for solving the direct and inverse problems and include the results of test simulations.
Mots-clés : tsunami wave propagation
Keywords: Cauchy problem, inverse problem, simulation algorithms. 
@article{SJIM_2011_14_3_a9,
     author = {V. G. Romanov and P. S. Moshkalev},
     title = {The one-dimensional inverse problem of finding a~tsunami source},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {87--99},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a9/}
}
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V. G. Romanov; P. S. Moshkalev. The one-dimensional inverse problem of finding a~tsunami source. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 87-99. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a9/