Direct and inverse problems for conservation laws

S. I. Kabanikhin; D. V. Klychinskiy; I. M. Kulikov; N. S. Novikov; M. A. Shishlenin

doi:10.1007/978-3-030-38870-6_28

Direct and inverse problems for conservation laws

S. I. Kabanikhin, D. V. Klychinskiy, I. M. Kulikov, N. S. Novikov, M. A. Shishlenin

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

4 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Название основной публикации	Continuum Mechanics, Applied Mathematics and Scientific Computing
Подзаголовок основной публикации	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Издатель	Springer International Publishing AG
Страницы	217-222
Число страниц	6
ISBN (электронное издание)	9783030388706
ISBN (печатное издание)	9783030388690
DOI	https://doi.org/10.1007/978-3-030-38870-6_28
Состояние	Опубликовано - 3 апр 2020

Предметные области OECD FOS+WOS

1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
1.01 МАТЕМАТИКА
2.05 ТЕХНОЛОГИЯ МАТЕРИАЛОВ

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

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

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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",

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Direct and inverse problems for conservation laws. / Kabanikhin, S. I.; Klychinskiy, D. V.; Kulikov, I. M.; Novikov, N. S.; Shishlenin, M. A.

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

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

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.

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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 -

Direct and inverse problems for conservation laws

Аннотация

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