| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7175603 | Journal of Applied Mathematics and Mechanics | 2017 | 8 Pages |
Abstract
Algorithms and their software implementation are described that allow calculating the front propagation for a long wave (for example, a tsunami wave) described in the approximation of the linearized shallow water equations with reflection from a shallow beach taken into account. The algorithms are based on a construction of asymptotic solutions of the Cauchy problem for hyperbolic equations with degeneracy on the boundary earlier proposed with the participation of one of the authors. The results of a numerical experiment are presented.
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Authors
D.A. Lozhnikov, V.E. Nazaikinskii,