Demchenko, M. N. On the Cauchy problem for the wave equation in a two-dimensional domain with data on the boundary. (English. Russian original) Zbl 07798758 J. Math. Sci., New York 277, No. 4, 575-585 (2023); translation from Zap. Nauchn. Semin. POMI 493, 154-168 (2020). MSC: 35R25 35L15 PDFBibTeX XMLCite \textit{M. N. Demchenko}, J. Math. Sci., New York 277, No. 4, 575--585 (2023; Zbl 07798758); translation from Zap. Nauchn. Semin. POMI 493, 154--168 (2020) Full Text: DOI arXiv
Botchev, Mikhail A.; Kabanikhin, Sergey I.; Shishlenin, Maxim A.; Tyrtyshnikov, Eugene E. The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method. (English) Zbl 1514.65157 J. Inverse Ill-Posed Probl. 31, No. 2, 203-221 (2023). MSC: 65N21 65N20 65K10 65F22 65F15 65N15 35J05 35B65 35R30 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 203--221 (2023; Zbl 1514.65157) Full Text: DOI
Klyuchinskiy, Dmitriy V.; Novikov, Nikita S.; Shishlenin, Maxim A. CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach. (English) Zbl 07512320 J. Comput. Phys. 439, Article ID 110374, 8 p. (2021). MSC: 65Mxx 35Rxx 35Qxx PDFBibTeX XMLCite \textit{D. V. Klyuchinskiy} et al., J. Comput. Phys. 439, Article ID 110374, 8 p. (2021; Zbl 07512320) Full Text: DOI
Demchenko, M. N. Determination of a wave field in a laterally inhomogeneous medium from boundary data. (English. Russian original) Zbl 1456.35124 J. Math. Sci., New York 252, No. 5, 602-611 (2021); translation from Zap. Nauchn. Semin. POMI 483, 55-68 (2019). MSC: 35L20 35R25 PDFBibTeX XMLCite \textit{M. N. Demchenko}, J. Math. Sci., New York 252, No. 5, 602--611 (2021; Zbl 1456.35124); translation from Zap. Nauchn. Semin. POMI 483, 55--68 (2019) Full Text: DOI arXiv
Kabanikhin, S. I.; Kulikov, I. M.; Shishlenin, M. A. An algorithm for recovering the characteristics of the initial state of supernova. (English. Russian original) Zbl 1452.65209 Comput. Math. Math. Phys. 60, No. 6, 1008-1016 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1035-1044 (2020). MSC: 65M32 65M06 65K10 85-08 85A05 35Q85 76N99 PDFBibTeX XMLCite \textit{S. I. Kabanikhin} et al., Comput. Math. Math. Phys. 60, No. 6, 1008--1016 (2020; Zbl 1452.65209); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1035--1044 (2020) Full Text: DOI
Kabanikhin, Sergey I.; Klyuchinskiy, Dmitriy V.; Novikov, Nikita S.; Shishlenin, Maxim A. Numerics of acoustical 2D tomography based on the conservation laws. (English) Zbl 1433.65196 J. Inverse Ill-Posed Probl. 28, No. 2, 287-297 (2020). MSC: 65M32 65N21 35L65 PDFBibTeX XMLCite \textit{S. I. Kabanikhin} et al., J. Inverse Ill-Posed Probl. 28, No. 2, 287--297 (2020; Zbl 1433.65196) Full Text: DOI
Demchenko, M. N. On the Cauchy problem for the wave equation with data on the boundary. (English. Russian original) Zbl 1435.35218 J. Math. Sci., New York 243, No. 5, 698-706 (2019); translation from Zap. Nauchn. Semin. POMI 471, 99-112 (2018). MSC: 35L20 35R30 PDFBibTeX XMLCite \textit{M. N. Demchenko}, J. Math. Sci., New York 243, No. 5, 698--706 (2019; Zbl 1435.35218); translation from Zap. Nauchn. Semin. POMI 471, 99--112 (2018) Full Text: DOI arXiv
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S. Algorithm for determining the volatility function in the Black-Scholes model. (English. Russian original) Zbl 1437.91430 Comput. Math. Math. Phys. 59, No. 10, 1753-1758 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1815-1820 (2019). Reviewer: Paweł Kliber (Poznan) MSC: 91G20 91G60 35Q91 65C30 PDFBibTeX XMLCite \textit{V. M. Isakov} et al., Comput. Math. Math. Phys. 59, No. 10, 1753--1758 (2019; Zbl 1437.91430); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1815--1820 (2019) Full Text: DOI
Belonosov, Andrey; Shishlenin, Maxim; Klyuchinskiy, Dmitriy A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary. (English) Zbl 1415.65215 Adv. Comput. Math. 45, No. 2, 735-755 (2019). MSC: 65M32 49N45 35K35 PDFBibTeX XMLCite \textit{A. Belonosov} et al., Adv. Comput. Math. 45, No. 2, 735--755 (2019; Zbl 1415.65215) Full Text: DOI
Hào, Dinh Nho; Thu Giang, Le Thi; Kabanikhin, Sergey; Shishlenin, Maxim A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation. (English) Zbl 1407.65268 J. Inverse Ill-Posed Probl. 26, No. 6, 835-857 (2018). MSC: 65N20 35J15 35D30 65N06 35R30 35J05 PDFBibTeX XMLCite \textit{D. N. Hào} et al., J. Inverse Ill-Posed Probl. 26, No. 6, 835--857 (2018; Zbl 1407.65268) Full Text: DOI
Yan, Zichao; Wang, Yanfei Full waveform inversion with sparse structure constrained regularization. (English) Zbl 06864432 J. Inverse Ill-Posed Probl. 26, No. 2, 243-257 (2018). MSC: 65J22 86-08 86A22 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{Y. Wang}, J. Inverse Ill-Posed Probl. 26, No. 2, 243--257 (2018; Zbl 06864432) Full Text: DOI
Belonosov, Andrey; Shishlenin, Maxim Regularization methods of the continuation problem for the parabolic equation. (English) Zbl 1368.65130 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 220-226 (2017). MSC: 65M06 35K15 PDFBibTeX XMLCite \textit{A. Belonosov} and \textit{M. Shishlenin}, Lect. Notes Comput. Sci. 10187, 220--226 (2017; Zbl 1368.65130) Full Text: DOI
Kabanikhin, Sergey Igorevich; Shishlenin, M. A.; Nurseitov, D. B.; Nurseitova, A. T.; Kasenov, S. E. Comparative analysis of methods for regularizing an initial boundary value problem for the Helmholtz equation. (English) Zbl 1442.35546 J. Appl. Math. 2014, Article ID 786326, 7 p. (2014). MSC: 35R30 35J05 35R25 65M32 PDFBibTeX XMLCite \textit{S. I. Kabanikhin} et al., J. Appl. Math. 2014, Article ID 786326, 7 p. (2014; Zbl 1442.35546) Full Text: DOI
Iskakov, K. T.; Oralbekova, Zh. O. Resolving power of algorithm for solving the coefficient inverse problem for the geoelectric equation. (English) Zbl 1407.78021 Math. Probl. Eng. 2014, Article ID 545689, 9 p. (2014). MSC: 78A46 35R30 PDFBibTeX XMLCite \textit{K. T. Iskakov} and \textit{Zh. O. Oralbekova}, Math. Probl. Eng. 2014, Article ID 545689, 9 p. (2014; Zbl 1407.78021) Full Text: DOI