Direct and inverse problems for conservation laws

Direct and inverse problems for conservation laws Full article

Source

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov
Monography, Springer Nature. Cham, Switzerland.2020. 398 c. ISBN 9783030388690. Scopus РИНЦ

Output data

Year: 2020, Pages: 217-222 Pages count : 6 DOI: 10.1007/978-3-030-38870-6_28

Authors

Kabanikhin S.I. ^1,2,3 , Klychinskiy D.V. ^1,3 , Kulikov I.M. ¹ , Novikov N.S. ^1,3 , Shishlenin M.A. ^1,2,3

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics, Prospect Akademika Lavrentjeva, 6, Novosibirsk, Russian Federation
2	Sobolev Institute of Mathematics, pr. Academician Koptyug, 4, Novosibirsk, Russian Federation
3	Novosibirsk State University, Pirogova St., 2, Novosibirsk, Russian Federation

We investigate the mathematical modeling of the 2D acousticwaves propagation. We solve the hyperbolic first order system of partial differential equations by the method of S. K. Godunov. The inverse problem of reconstructing the density of the medium is solved by the gradient method. The gradient of the functional is obtained. © Springer Nature Switzerland AG 2020.

Kabanikhin S.I. , Klychinskiy D.V. , Kulikov I.M. , Novikov N.S. , Shishlenin M.A.
Direct and inverse problems for conservation laws
Monography chapter Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. – Springer Nature., 2020. – C.217-222. – ISBN 9783030388690. DOI: 10.1007/978-3-030-38870-6_28 Scopus OpenAlex

Scopus:	2-s2.0-85100722391
OpenAlex:	W3015162764

DB	Citing
Scopus	8
OpenAlex	5