Abid, Chaima; Abda, Amel Ben; Fatma, Riadh Ben; Boukari, Yosra A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 07630770 J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023). MSC: 65N20 65N21 65K10 65R20 65F08 65F10 65N12 35J05 35R25 PDF BibTeX XML Cite \textit{C. Abid} et al., J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023; Zbl 07630770) Full Text: DOI OpenURL
Sumin, Mikhail Iosifovich On regularization of the nondifferential Kuhn-Tucker theorem in a nonlinear problem for constrained extremum. (Russian. English summary) Zbl 07643927 Vestn. Ross. Univ., Mat. 27, No. 140, 351-374 (2022). MSC: 47J06 49K27 90C46 65J20 90C31 PDF BibTeX XML Cite \textit{M. I. Sumin}, Vestn. Ross. Univ., Mat. 27, No. 140, 351--374 (2022; Zbl 07643927) Full Text: DOI MNR OpenURL
Sun, Liangliang; Yan, Xiongbin; Liao, Kaifang Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model. (English) Zbl 07624005 J. Inverse Ill-Posed Probl. 30, No. 6, 791-805 (2022). MSC: 65M32 65M30 65K10 65J20 44A10 35A02 26A33 35R11 35R30 35R25 PDF BibTeX XML Cite \textit{L. Sun} et al., J. Inverse Ill-Posed Probl. 30, No. 6, 791--805 (2022; Zbl 07624005) Full Text: DOI OpenURL
Guel, Bylli André; Nakoulima, Ousseynou The ill-posed Cauchy problem by controllability: the parabolic case. (English) Zbl 1498.35554 J. Nonlinear Evol. Equ. Appl. 2022, 69-88 (2022). MSC: 35Q93 35R25 35R30 49J20 93C05 93C20 PDF BibTeX XML Cite \textit{B. A. Guel} and \textit{O. Nakoulima}, J. Nonlinear Evol. Equ. Appl. 2022, 69--88 (2022; Zbl 1498.35554) Full Text: Link OpenURL
Krizskiĭ, V. N.; Viktorov, S. V.; Luntovskaya, Ya. A. Mathematical modeling of the transition resistance of the insulation of the main pipeline according to the data of measurements of the magnetic induction vector modulus. (Russian. English summary) Zbl 1498.78024 Mat. Model. 34, No. 9, 107-122 (2022). MSC: 78A46 78A57 78-05 78M50 65K10 65J20 65M32 35Q60 PDF BibTeX XML Cite \textit{V. N. Krizskiĭ} et al., Mat. Model. 34, No. 9, 107--122 (2022; Zbl 1498.78024) Full Text: DOI MNR OpenURL
Sun, Chunlong; Zhang, Zhidong Uniqueness and numerical inversion in the time-domain fluorescence diffuse optical tomography. (English) Zbl 07584926 Inverse Probl. 38, No. 10, Article ID 104001, 23 p. (2022). MSC: 65M32 65M30 65J20 65K10 65H10 65D07 78A46 92C55 35B65 35A02 44A10 49M41 35R30 35R25 35Q20 35Q60 35Q92 PDF BibTeX XML Cite \textit{C. Sun} and \textit{Z. Zhang}, Inverse Probl. 38, No. 10, Article ID 104001, 23 p. (2022; Zbl 07584926) Full Text: DOI arXiv OpenURL
El Guide, M.; El Ichi, A.; Jbilou, K.; Beik, F. P. A. Tensor Krylov subspace methods via the Einstein product with applications to image and video processing. (English) Zbl 1497.65083 Appl. Numer. Math. 181, 347-363 (2022). MSC: 65F99 15A69 65F10 65F22 65K10 65D18 PDF BibTeX XML Cite \textit{M. El Guide} et al., Appl. Numer. Math. 181, 347--363 (2022; Zbl 1497.65083) Full Text: DOI arXiv OpenURL
Dong, Heping; Zhang, Deyue; Chi, Yingwei An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093 Inverse Probl. Imaging 16, No. 4, 925-942 (2022). MSC: 65N21 65N20 76Q05 78A46 65K10 65F20 65F22 65R20 35J05 65J20 35R30 35R25 35Q35 PDF BibTeX XML Cite \textit{H. Dong} et al., Inverse Probl. Imaging 16, No. 4, 925--942 (2022; Zbl 1494.65093) Full Text: DOI OpenURL
Liu, Ji-Chuan Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation. (English) Zbl 1490.65250 Appl. Anal. 101, No. 7, 2669-2685 (2022). MSC: 65N20 65N21 PDF BibTeX XML Cite \textit{J.-C. Liu}, Appl. Anal. 101, No. 7, 2669--2685 (2022; Zbl 1490.65250) Full Text: DOI OpenURL
Afraites, Lekbir; Masnaoui, Chorouk; Nachaoui, Mourad Shape optimization method for an inverse geometric source problem and stability at critical shape. (English) Zbl 1490.49027 Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 1-21 (2022). MSC: 49Q10 65N20 35J25 35R35 65N30 PDF BibTeX XML Cite \textit{L. Afraites} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 1--21 (2022; Zbl 1490.49027) Full Text: DOI OpenURL
Huntul, M. J.; Abbas, Muhammad; Iqbal, Muhammad Kashif An inverse problem for investigating the time-dependent coefficient in a higher-order equation. (English) Zbl 1499.65470 Comput. Appl. Math. 41, No. 3, Paper No. 120, 21 p. (2022). MSC: 65M32 65M22 65M30 35K70 65J20 65K10 PDF BibTeX XML Cite \textit{M. J. Huntul} et al., Comput. Appl. Math. 41, No. 3, Paper No. 120, 21 p. (2022; Zbl 1499.65470) Full Text: DOI OpenURL
Zhong, Min; Wang, Wei; Tong, Shanshan An asymptotical regularization with convex constraints for inverse problems. (English) Zbl 1496.65149 Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M30 65K10 49M15 65J20 65J08 65J15 65J22 65L06 PDF BibTeX XML Cite \textit{M. Zhong} et al., Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022; Zbl 1496.65149) Full Text: DOI arXiv OpenURL
Gong, Wei; Tan, Zhiyu; Zhou, Zhaojie Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 1493.65202 Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022). MSC: 65N30 49M41 65N12 65N21 65J20 35B45 35B65 35J15 PDF BibTeX XML Cite \textit{W. Gong} et al., Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022; Zbl 1493.65202) Full Text: DOI OpenURL
Yang, Tianyu; Yang, Yang A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem. (English) Zbl 1487.65145 Inverse Probl. Imaging 16, No. 1, 1-18 (2022). MSC: 65M32 65M30 65K10 65M12 76Q05 35L05 35R30 PDF BibTeX XML Cite \textit{T. Yang} and \textit{Y. Yang}, Inverse Probl. Imaging 16, No. 1, 1--18 (2022; Zbl 1487.65145) Full Text: DOI arXiv OpenURL
Unser, Michael; Aziznejad, Shayan Convex optimization in sums of Banach spaces. (English) Zbl 1489.46074 Appl. Comput. Harmon. Anal. 56, 1-25 (2022). MSC: 46N10 47A52 65J20 68T05 PDF BibTeX XML Cite \textit{M. Unser} and \textit{S. Aziznejad}, Appl. Comput. Harmon. Anal. 56, 1--25 (2022; Zbl 1489.46074) Full Text: DOI arXiv OpenURL
Matyukhin, Vladislav; Kabanikhin, Sergey; Shishlenin, Maxim; Novikov, Nikita; Vasin, Artem; Gasnikov, Alexander Convex optimization with inexact gradients in Hilbert space and applications to elliptic inverse problems. (English) Zbl 1487.90525 Pardalos, Panos (ed.) et al., Mathematical optimization theory and operations research. 20th international conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12755, 159-175 (2021). MSC: 90C25 90C48 PDF BibTeX XML Cite \textit{V. Matyukhin} et al., Lect. Notes Comput. Sci. 12755, 159--175 (2021; Zbl 1487.90525) Full Text: DOI OpenURL
Vatulyan, A. O.; Nesterov, S. A. On coefficient inverse problems of heat conduction for functionally graded materials. (English) Zbl 1478.80001 Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 303-316 (2021). MSC: 80A23 80A19 80M50 44A10 45B05 35R30 35R25 65J20 65R30 65R32 65H10 65K10 PDF BibTeX XML Cite \textit{A. O. Vatulyan} and \textit{S. A. Nesterov}, in: Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15--20, 2019. Cham: Birkhäuser. 303--316 (2021; Zbl 1478.80001) Full Text: DOI OpenURL
Sumin, Mikhail Iosifovich Lagrange principle and its regularization as a theoretical basis of stable solving optimal control and inverse problems. (Russian. English summary) Zbl 1488.49042 Vestn. Ross. Univ., Mat. 26, No. 134, 151-171 (2021). MSC: 49K20 49N60 49N15 47A52 PDF BibTeX XML Cite \textit{M. I. Sumin}, Vestn. Ross. Univ., Mat. 26, No. 134, 151--171 (2021; Zbl 1488.49042) Full Text: DOI MNR OpenURL
Li, Wen; Resmerita, Elena; Vese, Luminita A. Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results. (English) Zbl 07430643 SIAM J. Imaging Sci. 14, No. 2, 844-877 (2021). MSC: 68U10 26B30 46N10 PDF BibTeX XML Cite \textit{W. Li} et al., SIAM J. Imaging Sci. 14, No. 2, 844--877 (2021; Zbl 07430643) Full Text: DOI OpenURL
Huntul, M. J.; Dhiman, Neeraj; Tamsir, Mohammad Reconstructing an unknown potential term in the third-order pseudo-parabolic problem. (English) Zbl 1476.65219 Comput. Appl. Math. 40, No. 4, Paper No. 140, 18 p. (2021). MSC: 65M32 65M22 65M30 35K70 PDF BibTeX XML Cite \textit{M. J. Huntul} et al., Comput. Appl. Math. 40, No. 4, Paper No. 140, 18 p. (2021; Zbl 1476.65219) Full Text: DOI OpenURL
Unser, Michael A unifying representer theorem for inverse problems and machine learning. (English) Zbl 1479.46088 Found. Comput. Math. 21, No. 4, 941-960 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 46N10 47A52 65J20 68T05 PDF BibTeX XML Cite \textit{M. Unser}, Found. Comput. Math. 21, No. 4, 941--960 (2021; Zbl 1479.46088) Full Text: DOI arXiv OpenURL
Lang, Lukas F.; Dutta, Nilankur; Scarpa, Elena; Sanson, Bénédicte; Schönlieb, Carola-Bibiane; Étienne, Jocelyn Joint motion estimation and source identification using convective regularisation with an application to the analysis of laser nanoablations. (English) Zbl 1487.65140 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 191-227 (2021). MSC: 65M32 65M30 65M60 65M06 65N30 65K10 35A15 35B65 92C37 94A05 35R30 35Q92 PDF BibTeX XML Cite \textit{L. F. Lang} et al., in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 191--227 (2021; Zbl 1487.65140) Full Text: DOI OpenURL
Corona, Veronica; Benning, Martin; Gladden, Lynn F.; Reci, Andi; Sederman, Andrew J.; Schönlieb, Carola-Bibiane Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data. (English) Zbl 1487.78013 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 1-24 (2021). MSC: 78A46 78A45 65L09 65J20 65K10 92C55 92C35 76W05 74H75 PDF BibTeX XML Cite \textit{V. Corona} et al., in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 1--24 (2021; Zbl 1487.78013) Full Text: DOI arXiv OpenURL
El Yazidi, Youness; Ellabib, Abdellatif An iterative method for optimal control of bilateral free boundaries problem. (English) Zbl 1472.49059 Math. Methods Appl. Sci. 44, No. 14, 11664-11683 (2021). MSC: 49N45 49Q10 65J20 65L50 65L60 90C59 PDF BibTeX XML Cite \textit{Y. El Yazidi} and \textit{A. Ellabib}, Math. Methods Appl. Sci. 44, No. 14, 11664--11683 (2021; Zbl 1472.49059) Full Text: DOI OpenURL
Burman, Erik; He, Cuiyu; Larson, Mats G. Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem. (English) Zbl 1481.65208 J. Sci. Comput. 88, No. 2, Paper No. 35, 28 p. (2021). MSC: 65N20 65N21 65N30 65K10 49Q10 49M41 35R35 PDF BibTeX XML Cite \textit{E. Burman} et al., J. Sci. Comput. 88, No. 2, Paper No. 35, 28 p. (2021; Zbl 1481.65208) Full Text: DOI arXiv OpenURL
El Yazidi, Youness; Ellabib, Abdellatif; Ouakrim, Youssef On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation. (English) Zbl 07384065 Comput. Math. Appl. 97, 267-285 (2021). MSC: 35R30 35J25 65N21 65N30 65J20 PDF BibTeX XML Cite \textit{Y. El Yazidi} et al., Comput. Math. Appl. 97, 267--285 (2021; Zbl 07384065) Full Text: DOI OpenURL
Huntul, M. J.; Tamsir, Mohammad Recovery of timewise-dependent heat source for hyperbolic PDE from an integral condition. (English) Zbl 1486.65151 Math. Methods Appl. Sci. 44, No. 2, 1470-1483 (2021). MSC: 65M32 65M30 65K10 65J20 35L20 35R30 35R25 35R60 PDF BibTeX XML Cite \textit{M. J. Huntul} and \textit{M. Tamsir}, Math. Methods Appl. Sci. 44, No. 2, 1470--1483 (2021; Zbl 1486.65151) Full Text: DOI OpenURL
Peng, Zijia; Liu, Zhonghui Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type. (English) Zbl 1469.35260 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105889, 14 p. (2021). MSC: 35R30 35J25 35J87 35J92 49N45 65J20 PDF BibTeX XML Cite \textit{Z. Peng} and \textit{Z. Liu}, Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105889, 14 p. (2021; Zbl 1469.35260) Full Text: DOI OpenURL
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A. Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. (English) Zbl 1471.65123 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105824, 10 p. (2021). MSC: 65M32 35R30 35R25 65M06 65J20 65K10 35B25 35B40 35Q53 PDF BibTeX XML Cite \textit{D. V. Lukyanenko} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105824, 10 p. (2021; Zbl 1471.65123) Full Text: DOI OpenURL
Hasanov, Alemdar Simultaneously identifying the thermal conductivity and radiative coefficient in heat equation from Dirichlet and Neumann boundary measured outputs. Some necessary estimates for the solutions of the direct and adjoint problems. (English) Zbl 1466.65172 J. Inverse Ill-Posed Probl. 29, No. 1, 81-91 (2021). MSC: 65N21 65K10 65J20 80A23 80A19 80A21 35K05 35D30 PDF BibTeX XML Cite \textit{A. Hasanov}, J. Inverse Ill-Posed Probl. 29, No. 1, 81--91 (2021; Zbl 1466.65172) Full Text: DOI OpenURL
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. (English) Zbl 1475.35432 Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021). Reviewer: Robert Plato (Siegen) MSC: 35R60 26A33 35A01 35A02 35R11 35R30 35R25 49M37 60G60 60H40 60J65 65M30 65M32 65T50 90C25 35K20 PDF BibTeX XML Cite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 1475.35432) Full Text: DOI arXiv OpenURL
Buccini, Alessandro; Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of regularization matrix for an \(\ell_2\)-\(\ell_q\) minimization method for image restoration. (English) Zbl 1460.65077 Appl. Numer. Math. 164, 211-221 (2021). MSC: 65K10 90C20 94A08 PDF BibTeX XML Cite \textit{A. Buccini} et al., Appl. Numer. Math. 164, 211--221 (2021; Zbl 1460.65077) Full Text: DOI OpenURL
Semin, M. A.; Zaĭtsev, A. V.; Levin, L. Yu. Numerical solution of the inverse Stefan problem in the analysis of artificial freezing of rock mass. (Russian. English summary) Zbl 1458.80006 Mat. Model. 33, No. 2, 93-108 (2021). MSC: 80A23 80M50 65M32 65K10 65J20 65M06 PDF BibTeX XML Cite \textit{M. A. Semin} et al., Mat. Model. 33, No. 2, 93--108 (2021; Zbl 1458.80006) Full Text: DOI MNR OpenURL
Lujano, John; Tausch, Johannes A shape optimization method for moving interface problems governed by the heat equation. (English) Zbl 1473.80015 J. Comput. Appl. Math. 390, Article ID 113266, 14 p. (2021). MSC: 80M50 80A22 49Q10 49M41 65D32 35K05 35Q79 65K10 65M38 35R25 PDF BibTeX XML Cite \textit{J. Lujano} and \textit{J. Tausch}, J. Comput. Appl. Math. 390, Article ID 113266, 14 p. (2021; Zbl 1473.80015) Full Text: DOI OpenURL
Wang, Yuchan; Wu, Bin; Chen, Qun Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem. (English) Zbl 1448.65141 Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021). MSC: 65M32 65M06 80A23 80M50 65K10 65M12 65M15 65J20 35K05 49J20 49N45 PDF BibTeX XML Cite \textit{Y. Wang} et al., Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021; Zbl 1448.65141) Full Text: DOI OpenURL
Lam, Kei Fong; Yousept, Irwin Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system. (English) Zbl 1473.35529 Inverse Probl. 36, No. 4, Article ID 045011, 33 p. (2020). MSC: 35Q60 35R30 49M41 49Q10 49K20 78A46 78A30 35B65 47J06 PDF BibTeX XML Cite \textit{K. F. Lam} and \textit{I. Yousept}, Inverse Probl. 36, No. 4, Article ID 045011, 33 p. (2020; Zbl 1473.35529) Full Text: DOI OpenURL
Bodaghi, Soheila; Zakeri, Ali; Amiraslani, Amir A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem. (English) Zbl 1475.65103 Inverse Probl. Sci. Eng. 28, No. 11, 1528-1550 (2020). MSC: 65M32 65M30 65M12 60H50 65K10 35B65 35C11 35K20 80A22 80A23 80M50 35R30 35R37 PDF BibTeX XML Cite \textit{S. Bodaghi} et al., Inverse Probl. Sci. Eng. 28, No. 11, 1528--1550 (2020; Zbl 1475.65103) Full Text: DOI OpenURL
Karageorghis, Andreas; Lesnic, Daniel Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. (English) Zbl 1475.65175 Inverse Probl. Sci. Eng. 28, No. 7, 950-967 (2020). MSC: 65N21 65N20 65N80 65N35 65K10 65J20 76D07 76M21 35Q35 35R30 35R25 PDF BibTeX XML Cite \textit{A. Karageorghis} and \textit{D. Lesnic}, Inverse Probl. Sci. Eng. 28, No. 7, 950--967 (2020; Zbl 1475.65175) Full Text: DOI Link OpenURL
Ameur, Hend Ben; Hariga-Tlatli, Nejla; Mansouri, Wafa Wells’ identification and transmissivity estimation in porous media. (English) Zbl 1475.65173 Inverse Probl. Sci. Eng. 28, No. 7, 906-929 (2020). MSC: 65N20 76S05 49Q10 49K40 35C20 90C31 35R30 PDF BibTeX XML Cite \textit{H. B. Ameur} et al., Inverse Probl. Sci. Eng. 28, No. 7, 906--929 (2020; Zbl 1475.65173) Full Text: DOI OpenURL
Min, Tao; Zang, Shunquan; Chen, Shengnan Source strength identification problem for the three-dimensional inverse heat conduction equations. (English) Zbl 1475.65110 Inverse Probl. Sci. Eng. 28, No. 6, 827-838 (2020). MSC: 65M32 65M30 35K05 45D05 35K20 65M80 65J20 65F20 15A18 65R20 65D32 65K10 60H50 35R30 PDF BibTeX XML Cite \textit{T. Min} et al., Inverse Probl. Sci. Eng. 28, No. 6, 827--838 (2020; Zbl 1475.65110) Full Text: DOI OpenURL
Starostin, N. P.; Tikhonov, R. S. Numerical solution of the inverse problem of thermal diagnostics of friction in a system of radial sliding bearings with an account of rotation of the shaft. (English) Zbl 1473.65172 Inverse Probl. Sci. Eng. 28, No. 5, 662-673 (2020). MSC: 65M32 65M06 65N06 65K10 65J20 80A23 80M20 80M50 74F05 74K10 PDF BibTeX XML Cite \textit{N. P. Starostin} and \textit{R. S. Tikhonov}, Inverse Probl. Sci. Eng. 28, No. 5, 662--673 (2020; Zbl 1473.65172) Full Text: DOI OpenURL
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie Sensitivity analysis for 3D Maxwell’s equations and its use in the resolution of an inverse medium problem at fixed frequency. (English) Zbl 1486.65228 Inverse Probl. Sci. Eng. 28, No. 4, 459-496 (2020). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65N21 65N20 65N30 65D18 65R32 65J20 65K10 78A25 78M10 78M50 35Q61 PDF BibTeX XML Cite \textit{M. Darbas} et al., Inverse Probl. Sci. Eng. 28, No. 4, 459--496 (2020; Zbl 1486.65228) Full Text: DOI arXiv OpenURL
Zhuo, Lijun; Lesnic, Daniel; Meng, Songhe Reconstruction of the heat transfer coefficient at the interface of a bi-material. (English) Zbl 1466.80010 Inverse Probl. Sci. Eng. 28, No. 3, 374-401 (2020). MSC: 80A23 80A19 80A21 80M50 65F05 35K05 35Q79 35R30 35R25 PDF BibTeX XML Cite \textit{L. Zhuo} et al., Inverse Probl. Sci. Eng. 28, No. 3, 374--401 (2020; Zbl 1466.80010) Full Text: DOI Link OpenURL
Kokurin, M. Yu. Ill-posed nonlinear optimization problems and uniform accuracy estimates of regularization methods. (English) Zbl 1461.49018 Numer. Funct. Anal. Optim. 41, No. 15, 1887-1900 (2020). MSC: 49J45 65J20 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Numer. Funct. Anal. Optim. 41, No. 15, 1887--1900 (2020; Zbl 1461.49018) Full Text: DOI OpenURL
Catak, Muammer; Pektaş, Burhan Identification of a harmonically varying external source in wave equation from Neumann-type boundary measurement. (English) Zbl 1466.65102 J. Inverse Ill-Posed Probl. 28, No. 6, 815-828 (2020). MSC: 65M32 65M60 65K10 65J20 60H50 93B30 35R30 PDF BibTeX XML Cite \textit{M. Catak} and \textit{B. Pektaş}, J. Inverse Ill-Posed Probl. 28, No. 6, 815--828 (2020; Zbl 1466.65102) Full Text: DOI OpenURL
Kabanikhin, Sergey; Krivorotko, Olga; Bektemessov, Zholaman; Bektemessov, Maktagali; Zhang, Shuhua Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model. (English) Zbl 1466.65104 J. Inverse Ill-Posed Probl. 28, No. 5, 761-774 (2020). MSC: 65M32 65M15 65K10 35B65 91B38 91B52 91-08 93B30 35R25 PDF BibTeX XML Cite \textit{S. Kabanikhin} et al., J. Inverse Ill-Posed Probl. 28, No. 5, 761--774 (2020; Zbl 1466.65104) Full Text: DOI arXiv OpenURL
Yang, Fan; Wang, Ni; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain. (English) Zbl 1473.65174 J. Appl. Anal. Comput. 10, No. 2, 514-529 (2020). Reviewer: Robert Plato (Siegen) MSC: 65M32 26A33 35R11 35R25 35R30 65J20 65M30 65K10 33E12 PDF BibTeX XML Cite \textit{F. Yang} et al., J. Appl. Anal. Comput. 10, No. 2, 514--529 (2020; Zbl 1473.65174) Full Text: DOI OpenURL
Smirnov, A. V.; Klibanov, M. V.; Sullivan, Anders J.; Nguyen, L. H. Convexification for an inverse problem for a 1D wave equation with experimental data. (English) Zbl 1452.65214 Inverse Probl. 36, No. 9, Article ID 095008, 32 p. (2020). MSC: 65M32 65M30 65M06 65M12 65K10 65J20 35L10 78A45 78A46 78M20 78M50 PDF BibTeX XML Cite \textit{A. V. Smirnov} et al., Inverse Probl. 36, No. 9, Article ID 095008, 32 p. (2020; Zbl 1452.65214) Full Text: DOI arXiv OpenURL
Gerth, Daniel; Kindermann, Stefan The Kurdyka-Łojasiewicz inequality as regularity condition. (English) Zbl 1443.35186 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 257-274 (2020). MSC: 35R30 90C26 65J20 26D10 49J52 PDF BibTeX XML Cite \textit{D. Gerth} and \textit{S. Kindermann}, Springer Proc. Math. Stat. 310, 257--274 (2020; Zbl 1443.35186) Full Text: DOI arXiv OpenURL
Chen, Junqing; Liang, Ying; Zou, Jun Mathematical and numerical study of a three-dimensional inverse eddy current problem. (English) Zbl 1447.35307 SIAM J. Appl. Math. 80, No. 3, 1467-1492 (2020). Reviewer: Bangti Jin (London) MSC: 35Q60 35R30 35B30 35B65 78A46 65N21 65N20 65N30 65K10 65F22 PDF BibTeX XML Cite \textit{J. Chen} et al., SIAM J. Appl. Math. 80, No. 3, 1467--1492 (2020; Zbl 1447.35307) Full Text: DOI arXiv OpenURL
Liu, Ji-Chuan; Li, Xiao-Chen Reconstruction algorithms of an inverse source problem for the Helmholtz equation. (English) Zbl 1442.65334 Numer. Algorithms 84, No. 3, 909-933 (2020). MSC: 65N21 65N20 65J20 65K10 35R30 35J05 35R25 PDF BibTeX XML Cite \textit{J.-C. Liu} and \textit{X.-C. Li}, Numer. Algorithms 84, No. 3, 909--933 (2020; Zbl 1442.65334) Full Text: DOI OpenURL
Backholm, Rasmus; Bubba, Tatiana A.; Bélanger-Champagne, Camille; Helin, Tapio; Dendooven, Peter; Siltanen, Samuli Simultaneous reconstruction of emission and attenuation in passive gamma emission tomography of spent nuclear fuel. (English) Zbl 1455.65239 Inverse Probl. Imaging 14, No. 2, 317-337 (2020). MSC: 65R32 65K10 65Z05 65D18 PDF BibTeX XML Cite \textit{R. Backholm} et al., Inverse Probl. Imaging 14, No. 2, 317--337 (2020; Zbl 1455.65239) Full Text: DOI arXiv OpenURL
Jiang, Suzhen; Liao, Kaifang; Wei, Ting Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. (English) Zbl 1437.65124 Comput. Methods Appl. Math. 20, No. 1, 109-120 (2020). MSC: 65M32 65M30 65J20 65K10 65F22 44A10 26A33 35R11 35A02 PDF BibTeX XML Cite \textit{S. Jiang} et al., Comput. Methods Appl. Math. 20, No. 1, 109--120 (2020; Zbl 1437.65124) Full Text: DOI OpenURL
Buccini, Alessandro; Reichel, Lothar An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images. (English) Zbl 07183980 J. Comput. Appl. Math. 375, Article ID 112824, 16 p. (2020). MSC: 65D18 65F10 65F35 65R32 90C26 94A08 PDF BibTeX XML Cite \textit{A. Buccini} and \textit{L. Reichel}, J. Comput. Appl. Math. 375, Article ID 112824, 16 p. (2020; Zbl 07183980) Full Text: DOI OpenURL
Cao, K.; Lesnic, D.; Liu, Jijun Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature. (English) Zbl 1447.80003 J. Comput. Appl. Math. 375, Article ID 112800, 18 p. (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A23 35R30 80M30 80M20 65M06 65K10 65M32 65J20 PDF BibTeX XML Cite \textit{K. Cao} et al., J. Comput. Appl. Math. 375, Article ID 112800, 18 p. (2020; Zbl 1447.80003) Full Text: DOI Link OpenURL
Michel, Volker; Schneider, Naomi A first approach to learning a best basis for gravitational field modelling. (English) Zbl 07175413 GEM. Int. J. Geomath. 11, Paper No. 9, 26 p. (2020). MSC: 86A22 31B20 41A45 65D15 65J20 65K10 65N20 65R32 68T05 PDF BibTeX XML Cite \textit{V. Michel} and \textit{N. Schneider}, GEM. Int. J. Geomath. 11, Paper No. 9, 26 p. (2020; Zbl 07175413) Full Text: DOI arXiv OpenURL
Wang, Li-Yan; Liu, Ji-Jun On fluorophore imaging by diffusion equation model: decompositions and optimizations. (English) Zbl 1431.35055 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203-222 (2020). MSC: 35K20 35R30 65K05 94A08 35C15 35R25 PDF BibTeX XML Cite \textit{L.-Y. Wang} and \textit{J.-J. Liu}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203--222 (2020; Zbl 1431.35055) Full Text: DOI OpenURL
Chuasuk, P.; Kaewcharoen, A. Generalized extragradient iterative methods for solving split feasibility and fixed point problems in Hilbert spaces. (English) Zbl 07164427 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 34, 25 p. (2020). MSC: 47J06 47H10 65K10 PDF BibTeX XML Cite \textit{P. Chuasuk} and \textit{A. Kaewcharoen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 34, 25 p. (2020; Zbl 07164427) Full Text: DOI OpenURL
Berger, Julien; Busser, Thomas; Dutykh, Denys; Mendes, Nathan An efficient method to estimate sorption isotherm curve coefficients. (English) Zbl 1483.65148 Inverse Probl. Sci. Eng. 27, No. 6, 735-772 (2019). MSC: 65M32 65M30 65M06 65L06 65K10 35Q79 80A23 93B30 93B35 35R30 35R25 PDF BibTeX XML Cite \textit{J. Berger} et al., Inverse Probl. Sci. Eng. 27, No. 6, 735--772 (2019; Zbl 1483.65148) Full Text: DOI arXiv OpenURL
Zhang, Yong-Fu; Li, Chong-Jun A class of multistep numerical difference schemes applied in inverse heat conduction problem with a control parameter. (English) Zbl 1475.65114 Inverse Probl. Sci. Eng. 27, No. 7, 887-942 (2019). Reviewer: Christian Clason (Graz) MSC: 65M32 65M30 80A23 65M06 65J20 65M15 65M12 65D05 65D07 65K10 35R30 PDF BibTeX XML Cite \textit{Y.-F. Zhang} and \textit{C.-J. Li}, Inverse Probl. Sci. Eng. 27, No. 7, 887--942 (2019; Zbl 1475.65114) Full Text: DOI OpenURL
Atifi, K.; Essoufi, El-H.; Khouiti, B. New approach to identify the initial condition in degenerate hyperbolic equation. (English) Zbl 1472.65117 Inverse Probl. Sci. Eng. 27, No. 4, 484-512 (2019). MSC: 65M32 65M30 65M06 65J20 65M12 35L80 35D30 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{K. Atifi} et al., Inverse Probl. Sci. Eng. 27, No. 4, 484--512 (2019; Zbl 1472.65117) Full Text: DOI OpenURL
Tuan, Nguyen Huy; Khoa, Vo Anh; Truong, Mai Thanh Nhat; Hung, Tran The; Minh, Mach Nguyet Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system. (English) Zbl 1472.65116 Inverse Probl. Sci. Eng. 27, No. 4, 460-483 (2019). MSC: 65M30 65M32 80A23 65M12 65K10 35K05 35K51 35B65 34B24 34B09 35R25 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Inverse Probl. Sci. Eng. 27, No. 4, 460--483 (2019; Zbl 1472.65116) Full Text: DOI arXiv OpenURL
Liao, Kai Fang; Li, Yu Shan; Wei, Ting The identification of the time-dependent source term in time-fractional diffusion-wave equations. (English) Zbl 1468.65128 East Asian J. Appl. Math. 9, No. 2, 330-354 (2019). MSC: 65M32 65M60 65K10 65J20 35R30 35R25 35R11 PDF BibTeX XML Cite \textit{K. F. Liao} et al., East Asian J. Appl. Math. 9, No. 2, 330--354 (2019; Zbl 1468.65128) Full Text: DOI OpenURL
Wei, Ting; Yan, Xiongbin Recovering a space-dependent source term in a time-fractional diffusion wave equation. (English) Zbl 1468.65129 J. Appl. Anal. Comput. 9, No. 5, 1801-1821 (2019). MSC: 65M32 65J20 65K10 60H50 35A01 35A02 35R30 35R25 35R11 PDF BibTeX XML Cite \textit{T. Wei} and \textit{X. Yan}, J. Appl. Anal. Comput. 9, No. 5, 1801--1821 (2019; Zbl 1468.65129) Full Text: DOI OpenURL
Wu, Bin; Chen, Qun; Yu, Jun; Wang, Zewen A coefficient identification problem for a mathematical model related to ductal carcinoma in Situ. (English) Zbl 1448.35524 Stud. Appl. Math. 143, No. 4, 356-372 (2019). MSC: 35Q92 35R30 35R60 35R35 35A02 92C37 93B30 35R25 35B65 49J20 49J55 49J50 65M32 65M30 65K10 PDF BibTeX XML Cite \textit{B. Wu} et al., Stud. Appl. Math. 143, No. 4, 356--372 (2019; Zbl 1448.35524) Full Text: DOI OpenURL
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte Incorporating knowledge on the measurement noise in electrical impedance tomography. (English) Zbl 1437.78003 ESAIM, Control Optim. Calc. Var. 25, Paper No. 84, 16 p. (2019). MSC: 78A46 78M50 49Q10 65K10 65R20 35R25 35R35 PDF BibTeX XML Cite \textit{M. Dambrine} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 84, 16 p. (2019; Zbl 1437.78003) Full Text: DOI OpenURL
Caubet, Fabien; Dardé, Jérémi; Godoy, Matías On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation. (English) Zbl 1445.35325 ESAIM, Control Optim. Calc. Var. 25, Paper No. 30, 30 p. (2019). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R30 49Q10 35N25 35R25 PDF BibTeX XML Cite \textit{F. Caubet} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 30, 30 p. (2019; Zbl 1445.35325) Full Text: DOI HAL OpenURL
Clason, Christian; Nhu, Vu Huu Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem. (English) Zbl 1431.65078 ETNA, Electron. Trans. Numer. Anal. 51, 274-314 (2019). MSC: 65J15 65J20 49K20 49K40 90C31 PDF BibTeX XML Cite \textit{C. Clason} and \textit{V. H. Nhu}, ETNA, Electron. Trans. Numer. Anal. 51, 274--314 (2019; Zbl 1431.65078) Full Text: DOI arXiv Link OpenURL
Bin-Mohsin, B.; Lesnic, D. Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229 Appl. Comput. Math. 18, No. 3, 272-287 (2019). MSC: 65N21 65N35 65N80 65N20 65J20 65K10 35J05 35K57 PDF BibTeX XML Cite \textit{B. Bin-Mohsin} and \textit{D. Lesnic}, Appl. Comput. Math. 18, No. 3, 272--287 (2019; Zbl 1434.65229) Full Text: Link OpenURL
Rüland, Angkana Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms. (English) Zbl 1473.35612 Rev. Mat. Iberoam. 35, No. 7, 1997-2024 (2019). Reviewer: Florian Mannel (Graz) MSC: 35Q93 44A15 35A22 35R30 35R25 PDF BibTeX XML Cite \textit{A. Rüland}, Rev. Mat. Iberoam. 35, No. 7, 1997--2024 (2019; Zbl 1473.35612) Full Text: DOI arXiv OpenURL
Li, Y. S.; Sun, L. L.; Zhang, Z. Q.; Wei, T. Identification of the time-dependent source term in a multi-term time-fractional diffusion equation. (English) Zbl 1442.65232 Numer. Algorithms 82, No. 4, 1279-1301 (2019). MSC: 65M32 65M06 65J20 65K10 26A33 35R11 35D30 35B35 35B65 35A02 PDF BibTeX XML Cite \textit{Y. S. Li} et al., Numer. Algorithms 82, No. 4, 1279--1301 (2019; Zbl 1442.65232) Full Text: DOI OpenURL
Verma, Akanksha; Kumar, Manoj Numerical solution of Lane-Emden type equations using multilayer perceptron neural network method. (English) Zbl 1428.65065 Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 141, 14 p. (2019). MSC: 65N20 92B20 68T05 65N15 65K10 65L08 65L70 35C05 PDF BibTeX XML Cite \textit{A. Verma} and \textit{M. Kumar}, Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 141, 14 p. (2019; Zbl 1428.65065) Full Text: DOI OpenURL
Grasedyck, Lars; Krämer, Sebastian Stable als approximation in the TT-format for rank-adaptive tensor completion. (English) Zbl 1437.65031 Numer. Math. 143, No. 4, 855-904 (2019). MSC: 65F55 65F22 65K10 PDF BibTeX XML Cite \textit{L. Grasedyck} and \textit{S. Krämer}, Numer. Math. 143, No. 4, 855--904 (2019; Zbl 1437.65031) Full Text: DOI arXiv OpenURL
Liu, Ji-Chuan Reconstruction algorithms of an inverse geometric problem for the modified Helmholtz equation. (English) Zbl 1438.65278 Comput. Appl. Math. 38, No. 4, Paper No. 167, 18 p. (2019). MSC: 65N20 65N21 35J05 35R30 PDF BibTeX XML Cite \textit{J.-C. Liu}, Comput. Appl. Math. 38, No. 4, Paper No. 167, 18 p. (2019; Zbl 1438.65278) Full Text: DOI OpenURL
Zhao, Jianxi; Feng, Qian; Zhao, Lina Alternating direction and Taylor expansion minimization algorithms for unconstrained nuclear norm optimization. (English) Zbl 07101816 Numer. Algorithms 82, No. 1, 371-396 (2019). MSC: 65Fxx 65F10 65J20 68Q25 90C26 PDF BibTeX XML Cite \textit{J. Zhao} et al., Numer. Algorithms 82, No. 1, 371--396 (2019; Zbl 07101816) Full Text: DOI OpenURL
Clason, Christian; Nhu, Vu Huu Bouligand-Landweber iteration for a non-smooth ill-posed problem. (English) Zbl 1418.49023 Numer. Math. 142, No. 4, 789-832 (2019). MSC: 49K20 49K40 90C31 PDF BibTeX XML Cite \textit{C. Clason} and \textit{V. H. Nhu}, Numer. Math. 142, No. 4, 789--832 (2019; Zbl 1418.49023) Full Text: DOI arXiv OpenURL
Buccini, Alessandro; Reichel, Lothar An \(\ell^2\)-\(\ell^q\) regularization method for large discrete ill-posed problems. (English) Zbl 07074397 J. Sci. Comput. 78, No. 3, 1526-1549 (2019). MSC: 65F10 65R32 90C26 PDF BibTeX XML Cite \textit{A. Buccini} and \textit{L. Reichel}, J. Sci. Comput. 78, No. 3, 1526--1549 (2019; Zbl 07074397) Full Text: DOI OpenURL
Yan, Xiong Bin; Wei, Ting Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. (English) Zbl 07052535 J. Inverse Ill-Posed Probl. 27, No. 1, 1-16 (2019). MSC: 65N20 65N21 26A33 35R11 65J20 65K10 PDF BibTeX XML Cite \textit{X. B. Yan} and \textit{T. Wei}, J. Inverse Ill-Posed Probl. 27, No. 1, 1--16 (2019; Zbl 07052535) Full Text: DOI OpenURL
Klibanov, Michael V.; Li, Jingzhi; Zhang, Wenlong Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data. (English) Zbl 1410.65432 Inverse Probl. 35, No. 3, Article ID 035005, 33 p. (2019). MSC: 65N21 65N20 65J20 65K10 65N12 90C52 65N15 78A70 PDF BibTeX XML Cite \textit{M. V. Klibanov} et al., Inverse Probl. 35, No. 3, Article ID 035005, 33 p. (2019; Zbl 1410.65432) Full Text: DOI arXiv OpenURL
Sun, Liangliang; Yan, Xiongbin; Wei, Ting Identification of time-dependent convection coefficient in a time-fractional diffusion equation. (English) Zbl 1404.65145 J. Comput. Appl. Math. 346, 505-517 (2019). MSC: 65M32 35R11 35B20 65M12 76R50 65J20 65K10 PDF BibTeX XML Cite \textit{L. Sun} et al., J. Comput. Appl. Math. 346, 505--517 (2019; Zbl 1404.65145) Full Text: DOI OpenURL
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A. On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems. (English) Zbl 1428.65053 Inverse Probl. Sci. Eng. 26, No. 9, 1249-1279 (2018). MSC: 65M70 65K10 65M32 65M30 80A22 80A23 35R35 65M80 65F22 65F05 35Q79 PDF BibTeX XML Cite \textit{G. M. M. Reddy} et al., Inverse Probl. Sci. Eng. 26, No. 9, 1249--1279 (2018; Zbl 1428.65053) Full Text: DOI OpenURL
Aboulaich, R.; Achchab, B.; Darouichi, A. Parameter identification by optimization method for a pollution problem in porous media. (English) Zbl 1438.65218 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 4, 1345-1360 (2018). MSC: 65M32 65N20 35R09 45K05 76S05 65K10 49J20 PDF BibTeX XML Cite \textit{R. Aboulaich} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 4, 1345--1360 (2018; Zbl 1438.65218) Full Text: DOI OpenURL
Wang, Jun-Gang; Ran, Yu-Hong; Yuan, Zhan-Bin Uniqueness and numerical scheme for the Robin coefficient identification of the time-fractional diffusion equation. (English) Zbl 1419.65047 Comput. Math. Appl. 75, No. 11, 4107-4114 (2018). MSC: 65M32 35R11 65K10 35R30 35R25 PDF BibTeX XML Cite \textit{J.-G. Wang} et al., Comput. Math. Appl. 75, No. 11, 4107--4114 (2018; Zbl 1419.65047) Full Text: DOI OpenURL
Kokurin, M. Yu. Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data. (English. Russian original) Zbl 1412.90124 Comput. Math. Math. Phys. 58, No. 11, 1748-1760 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1815-1828 (2018). MSC: 90C26 90C48 65K05 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 58, No. 11, 1748--1760 (2018; Zbl 1412.90124); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1815--1828 (2018) Full Text: DOI OpenURL
Kokurin, Mikhail Y. Accuracy estimates of regularization methods and conditional well-posedness of nonlinear optimization problems. (English) Zbl 07000330 J. Inverse Ill-Posed Probl. 26, No. 6, 789-797 (2018). MSC: 65J20 65J22 47J06 47J25 PDF BibTeX XML Cite \textit{M. Y. Kokurin}, J. Inverse Ill-Posed Probl. 26, No. 6, 789--797 (2018; Zbl 07000330) Full Text: DOI OpenURL
Li, Qin; Shu, Ruiwen; Wang, Li A new numerical approach to inverse transport equation with error analysis. (English) Zbl 1450.65139 SIAM J. Numer. Anal. 56, No. 6, 3358-3385 (2018). MSC: 65N20 65N21 65R20 65R32 65K10 35F15 35R09 45K05 35R30 PDF BibTeX XML Cite \textit{Q. Li} et al., SIAM J. Numer. Anal. 56, No. 6, 3358--3385 (2018; Zbl 1450.65139) Full Text: DOI arXiv OpenURL
Beilina, Larisa; Niinimäki, Kati Numerical studies of the Lagrangian approach for reconstruction of the conductivity in a waveguide. (English) Zbl 1402.78016 Beilina, L. (ed.) et al., Nonlinear and inverse problems in electromagnetics, PIERS 2017, St. Petersburg, Russia, May 22–25, 2017. Cham: Springer (ISBN 978-3-319-94059-5/hbk; 978-3-319-94060-1/ebook). Springer Proceedings in Mathematics & Statistics 243, 93-117 (2018). MSC: 78A50 78M50 78M10 78M20 78A40 65M55 35Q60 65M32 65K10 65N20 49N45 PDF BibTeX XML Cite \textit{L. Beilina} and \textit{K. Niinimäki}, Springer Proc. Math. Stat. 243, 93--117 (2018; Zbl 1402.78016) Full Text: DOI arXiv OpenURL
Kokurin, Mikhail Y. Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. (English) Zbl 1398.65115 J. Inverse Ill-Posed Probl. 26, No. 4, 463-475 (2018). MSC: 65J20 65J22 47J06 47J25 PDF BibTeX XML Cite \textit{M. Y. Kokurin}, J. Inverse Ill-Posed Probl. 26, No. 4, 463--475 (2018; Zbl 1398.65115) Full Text: DOI OpenURL
Kurt, Mehmet; Günel, Korhan An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic. (English) Zbl 1448.65208 J. Inverse Ill-Posed Probl. 26, No. 3, 335-347 (2018). MSC: 65N21 65N20 65K10 80A19 80A23 80M50 35Q79 35J15 35R30 90C59 PDF BibTeX XML Cite \textit{M. Kurt} and \textit{K. Günel}, J. Inverse Ill-Posed Probl. 26, No. 3, 335--347 (2018; Zbl 1448.65208) Full Text: DOI OpenURL
Ma, Yunyun; Ma, Fuming A projection method with regularization for Cauchy problem of the time-harmonic Maxwell equations. (English) Zbl 1404.65235 Appl. Numer. Math. 129, 71-82 (2018). MSC: 65N20 35Q61 35R25 65J20 35B40 65K10 78M50 78A46 PDF BibTeX XML Cite \textit{Y. Ma} and \textit{F. Ma}, Appl. Numer. Math. 129, 71--82 (2018; Zbl 1404.65235) Full Text: DOI OpenURL
Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam Identifying conductivity in electrical impedance tomography with total variation regularization. (English) Zbl 1397.65238 Numer. Math. 138, No. 3, 723-765 (2018). Reviewer: Michael Jung (Dresden) MSC: 65N21 65N12 35J25 35R30 65N30 90C53 49M15 65K10 PDF BibTeX XML Cite \textit{M. Hinze} et al., Numer. Math. 138, No. 3, 723--765 (2018; Zbl 1397.65238) Full Text: DOI arXiv OpenURL
Buccini, Alessandro; Donatelli, Marco; Ramlau, Ronny A semiblind regularization algorithm for inverse problems with application to image deblurring. (English) Zbl 1383.65058 SIAM J. Sci. Comput. 40, No. 1, A452-A483 (2018). MSC: 65J22 65J20 65J15 47J06 90C26 PDF BibTeX XML Cite \textit{A. Buccini} et al., SIAM J. Sci. Comput. 40, No. 1, A452--A483 (2018; Zbl 1383.65058) Full Text: DOI OpenURL
Bakushinsky, Anatoly B.; Kokurin, Mikhail M.; Kokurin, Mikhail Yu. Regularization algorithms for ill-posed problems. (English) Zbl 1436.65004 Inverse and Ill-Posed Problems Series 61. Berlin: De Gruyter (ISBN 978-3-11-055630-8/hbk; 978-3-11-055735-0/ebook). xvi, 323 p. (2018). Reviewer: Robert Plato (Siegen) MSC: 65-02 65J22 65J20 47A52 47J06 49N45 65F22 65L06 65R30 65R32 PDF BibTeX XML Cite \textit{A. B. Bakushinsky} et al., Regularization algorithms for ill-posed problems. Berlin: De Gruyter (2018; Zbl 1436.65004) Full Text: DOI OpenURL
Liu, Ji-Chuan Reconstruction algorithms of an inverse coefficient identification problem for the Schrödinger equation. (English) Zbl 1488.65588 Math. Model. Anal. 22, No. 3, 352-372 (2017). MSC: 65N21 65N20 65K05 35Q55 49M41 65N80 PDF BibTeX XML Cite \textit{J.-C. Liu}, Math. Model. Anal. 22, No. 3, 352--372 (2017; Zbl 1488.65588) Full Text: DOI OpenURL
Gong, Maoguo; Jiang, Xiangming; Li, Hao Optimization methods for regularization-based ill-posed problems: a survey and a multi-objective framework. (English) Zbl 1405.94024 Front. Comput. Sci. 11, No. 3, 362-391 (2017). MSC: 94A12 90C29 90C59 PDF BibTeX XML Cite \textit{M. Gong} et al., Front. Comput. Sci. 11, No. 3, 362--391 (2017; Zbl 1405.94024) Full Text: DOI OpenURL
Jaïm, Emna; Khalfallah, Sinda An energy-gap cost functional for cavities identification. (English) Zbl 1448.65206 Nonlinear Stud. 24, No. 4, 745-756 (2017). MSC: 65N21 65N20 35J05 35J15 35J20 49Q10 35Q30 41A60 PDF BibTeX XML Cite \textit{E. Jaïm} and \textit{S. Khalfallah}, Nonlinear Stud. 24, No. 4, 745--756 (2017; Zbl 1448.65206) Full Text: Link OpenURL
Kokurin, M. Yu. Convergence rate estimates for Tikhonov’s scheme as applied to ill-posed nonconvex optimization problems. (English. Russian original) Zbl 1379.49012 Comput. Math. Math. Phys. 57, No. 7, 1101-1110 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 7, xx (2017). MSC: 49J45 49M30 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 57, No. 7, 1101--1110 (2017; Zbl 1379.49012); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 7, xx (2017) Full Text: DOI OpenURL
Klann, Esther; Ramlau, Ronny; Sun, Peng A Mumford-Shah-type approach to simultaneous reconstruction and segmentation for emission tomography problems with Poisson statistics. (English) Zbl 1368.94012 J. Inverse Ill-Posed Probl. 25, No. 4, 521-542 (2017). MSC: 94A08 44A12 47A52 65K10 92C55 PDF BibTeX XML Cite \textit{E. Klann} et al., J. Inverse Ill-Posed Probl. 25, No. 4, 521--542 (2017; Zbl 1368.94012) Full Text: DOI OpenURL
Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning Modulus-based iterative methods for constrained Tikhonov regularization. (English) Zbl 1360.65112 J. Comput. Appl. Math. 319, 1-13 (2017). MSC: 65F22 65F10 65D18 65K10 90C20 PDF BibTeX XML Cite \textit{Z.-Z. Bai} et al., J. Comput. Appl. Math. 319, 1--13 (2017; Zbl 1360.65112) Full Text: DOI Link OpenURL
Isakov, Victor Inverse problems for partial differential equations. 3rd edition. (English) Zbl 1366.65087 Applied Mathematical Sciences 127. Cham: Springer (ISBN 978-3-319-51657-8/hbk; 978-3-319-51658-5/ebook). xv, 406 p. (2017). Reviewer: Aleksandar Perović (Berlin) MSC: 65M32 65N21 35-02 35R30 35R25 35B60 35Q61 35Q86 35Q91 35Q93 31B20 47A52 65J22 65J20 74J25 78A46 80A23 81U40 86A22 91G20 93B07 PDF BibTeX XML Cite \textit{V. Isakov}, Inverse problems for partial differential equations. 3rd edition. Cham: Springer (2017; Zbl 1366.65087) Full Text: DOI OpenURL