Direct and inverse problems for conservation laws

Standard

Direct and inverse problems for conservation laws. / Kabanikhin, S. I.; Klychinskiy, D. V.; Kulikov, I. M. et al.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. p. 217-222.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Kabanikhin, SI, Klychinskiy, DV, Kulikov, IM , Novikov, NS & Shishlenin, MA 2020, Direct and inverse problems for conservation laws. in Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, pp. 217-222. https://doi.org/10.1007/978-3-030-38870-6_28

APA

Kabanikhin, S. I., Klychinskiy, D. V., Kulikov, I. M., Novikov, N. S., & Shishlenin, M. A. (2020). Direct and inverse problems for conservation laws. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov (pp. 217-222). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-38870-6_28

Vancouver

Kabanikhin SI, Klychinskiy DV, Kulikov IM , Novikov NS , Shishlenin MA. Direct and inverse problems for conservation laws. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG. 2020. p. 217-222 doi: 10.1007/978-3-030-38870-6_28

Author

Kabanikhin, S. I. ; Klychinskiy, D. V. ; Kulikov, I. M. et al. / Direct and inverse problems for conservation laws. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. pp. 217-222

BibTeX

@inbook{28c6fc3d1e594874b0f68dad549f0072,

title = "Direct and inverse problems for conservation laws",

abstract = "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.",

author = "Kabanikhin, {S. I.} and Klychinskiy, {D. V.} and Kulikov, {I. M.} and Novikov, {N. S.} and Shishlenin, {M. A.}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",

year = "2020",

month = apr,

day = "3",

doi = "10.1007/978-3-030-38870-6_28",

language = "English",

isbn = "9783030388690",

pages = "217--222",

booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing",

publisher = "Springer International Publishing AG",

address = "Switzerland",

}

RIS

TY - CHAP

T1 - Direct and inverse problems for conservation laws

AU - Kabanikhin, S. I.

AU - Klychinskiy, D. V.

AU - Kulikov, I. M.

AU - Novikov, N. S.

AU - Shishlenin, M. A.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85100722391&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-38870-6_28

DO - 10.1007/978-3-030-38870-6_28

M3 - Chapter

AN - SCOPUS:85100722391

SN - 9783030388690

SP - 217

EP - 222

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing AG

ER -

ID: 34189735