Rabelo, J. C.; Leitão, A.; Madureira, A. L. On inertial iterated Tikhonov methods for solving ill-posed problems. (English) Zbl 07805846 Inverse Probl. 40, No. 3, Article ID 035002, 27 p. (2024). MSC: 65J20 65J15 47A52 65J10 PDFBibTeX XMLCite \textit{J. C. Rabelo} et al., Inverse Probl. 40, No. 3, Article ID 035002, 27 p. (2024; Zbl 07805846) Full Text: DOI arXiv
Chang, Weike; D’Ascenzo, Nicola; Xie, Qingguo A relaxed iterated Tikhonov regularization for linear ill-posed inverse problems. (English) Zbl 07762475 J. Math. Anal. Appl. 530, No. 2, Article ID 127754, 24 p. (2024). MSC: 65Fxx 65Jxx 47Axx PDFBibTeX XMLCite \textit{W. Chang} et al., J. Math. Anal. Appl. 530, No. 2, Article ID 127754, 24 p. (2024; Zbl 07762475) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba On the strong convergence of continuous Newton-like inertial dynamics with Tikhonov regularization for monotone inclusions. (English) Zbl 07762435 J. Math. Anal. Appl. 530, No. 2, Article ID 127689, 30 p. (2024). MSC: 65Kxx 90Cxx 47Jxx PDFBibTeX XMLCite \textit{R. I. Boţ} et al., J. Math. Anal. Appl. 530, No. 2, Article ID 127689, 30 p. (2024; Zbl 07762435) Full Text: DOI
Yang, Fan; Cao, Ying; Li, Xiao-Xiao Two regularization methods for identifying the source term of Caputo-Hadamard time-fractional diffusion equation. (English) Zbl 07795470 Math. Methods Appl. Sci. 46, No. 15, 16170-16202 (2023). MSC: 35R25 35R11 35R30 47A52 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Methods Appl. Sci. 46, No. 15, 16170--16202 (2023; Zbl 07795470) Full Text: DOI
Carrió, M. J.; Mazzieri, G. L.; Temperini, K. G. Error estimates for doubly-generalized Tikhonov-Phillips regularization. (English) Zbl 1525.47028 Trends Comput. Appl. Math. 24, No. 1, 45-61 (2023). MSC: 47A52 47J06 47J20 PDFBibTeX XMLCite \textit{M. J. Carrió} et al., Trends Comput. Appl. Math. 24, No. 1, 45--61 (2023; Zbl 1525.47028) Full Text: DOI
Bechouat, Tahar; Boussetila, Nadjib Numerical solution of the two-dimensional first kind Fredholm integral equations using a regularized collocation method. (English) Zbl 07735383 Comput. Appl. Math. 42, No. 6, Paper No. 267, 16 p. (2023). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{T. Bechouat} and \textit{N. Boussetila}, Comput. Appl. Math. 42, No. 6, Paper No. 267, 16 p. (2023; Zbl 07735383) Full Text: DOI
Yu, Shuang; Wang, Zewen; Yang, Hongqi Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation. (English) Zbl 1519.35370 Comput. Methods Appl. Math. 23, No. 3, 767-782 (2023). MSC: 35R30 35R11 35K20 47A52 PDFBibTeX XMLCite \textit{S. Yu} et al., Comput. Methods Appl. Math. 23, No. 3, 767--782 (2023; Zbl 1519.35370) Full Text: DOI
Liu, Min; Min, Chao; Tang, Guo-ji; Xiao, Yi-bin Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces. (English) Zbl 07702621 Optimization 72, No. 6, 1643-1663 (2023). MSC: 47J20 54A20 54C60 58E35 PDFBibTeX XMLCite \textit{M. Liu} et al., Optimization 72, No. 6, 1643--1663 (2023; Zbl 07702621) Full Text: DOI
Hofmann, Bernd; Werner, Frank; Deng, Yu On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case. (English) Zbl 07690474 Inverse Probl. 39, No. 6, Article ID 065012, 15 p. (2023). Reviewer: Robert Plato (Siegen) MSC: 47J06 45E10 45Q05 65R30 65R32 PDFBibTeX XMLCite \textit{B. Hofmann} et al., Inverse Probl. 39, No. 6, Article ID 065012, 15 p. (2023; Zbl 07690474) Full Text: DOI arXiv
Alavi, Javad; Aminikhah, Hossein Some properties of orthogonal linear splines and their applications to inverse problems. (English) Zbl 1509.65008 Appl. Anal. 102, No. 3, 739-769 (2023). MSC: 65D07 65N21 65F22 47A52 47J06 PDFBibTeX XMLCite \textit{J. Alavi} and \textit{H. Aminikhah}, Appl. Anal. 102, No. 3, 739--769 (2023; Zbl 1509.65008) Full Text: DOI
Mohammady, Somaieh; Eslahchi, M. R. Application of fractional derivatives for obtaining new Tikhonov regularization matrices. (English) Zbl 1509.65032 J. Appl. Math. Comput. 69, No. 1, 1321-1342 (2023). MSC: 65F22 47A52 26A33 PDFBibTeX XMLCite \textit{S. Mohammady} and \textit{M. R. Eslahchi}, J. Appl. Math. Comput. 69, No. 1, 1321--1342 (2023; Zbl 1509.65032) Full Text: DOI
Alqahtani, A.; Mach, T.; Reichel, L. Solution of ill-posed problems with Chebfun. (English) Zbl 07669771 Numer. Algorithms 92, No. 4, 2341-2364 (2023). MSC: 65-XX 47A52 65F22 45B05 41A10 PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Numer. Algorithms 92, No. 4, 2341--2364 (2023; Zbl 07669771) Full Text: DOI arXiv
Alqahtani, A.; Ramlau, R.; Reichel, L. Error estimates for Golub-Kahan bidiagonalization with Tikhonov regularization for ill-posed operator equations. (English) Zbl 07640669 Inverse Probl. 39, No. 2, Article ID 025002, 27 p. (2023). MSC: 47A52 35Rxx PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Inverse Probl. 39, No. 2, Article ID 025002, 27 p. (2023; Zbl 07640669) Full Text: DOI
Huntul, Mousa J.; Oussaeif, Taki-Eddine; Tamsir, Mohammad; Aiyashi, Mohammed A. Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition. (English) Zbl 1503.65211 Open Math. 20, 1407-1431 (2022). MSC: 65M32 35R30 47H10 65M70 PDFBibTeX XMLCite \textit{M. J. Huntul} et al., Open Math. 20, 1407--1431 (2022; Zbl 1503.65211) Full Text: DOI
Cheval, Horaţiu; Leuştean, Laurenţiu Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration. (English) Zbl 1514.47104 Optim. Methods Softw. 37, No. 6, 2225-2240 (2022). MSC: 47J26 47H09 03F10 54H25 PDFBibTeX XMLCite \textit{H. Cheval} and \textit{L. Leuştean}, Optim. Methods Softw. 37, No. 6, 2225--2240 (2022; Zbl 1514.47104) Full Text: DOI arXiv
Mittal, Gaurav; Giri, Ankik Kumar Nonstationary iterated Tikhonov regularization: convergence analysis via Hölder stability. (English) Zbl 1503.35288 Inverse Probl. 38, No. 12, Article ID 125008, 33 p. (2022). MSC: 35R30 47A52 65J20 PDFBibTeX XMLCite \textit{G. Mittal} and \textit{A. K. Giri}, Inverse Probl. 38, No. 12, Article ID 125008, 33 p. (2022; Zbl 1503.35288) Full Text: DOI
Janmohammadi, Ali; Damirchi, Javad; Mahmoudi, Seyed Mahdi; Esfandiari, Ahmadreza Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. (English) Zbl 07597387 J. Appl. Math. Comput. 68, No. 5, 2983-3009 (2022). MSC: 47A52 65M70 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{A. Janmohammadi} et al., J. Appl. Math. Comput. 68, No. 5, 2983--3009 (2022; Zbl 07597387) Full Text: DOI
Arndt, Clemens Regularization theory of the analytic deep prior approach. (English) Zbl 07596743 Inverse Probl. 38, No. 11, Article ID 115005, 21 p. (2022). MSC: 47A52 PDFBibTeX XMLCite \textit{C. Arndt}, Inverse Probl. 38, No. 11, Article ID 115005, 21 p. (2022; Zbl 07596743) Full Text: DOI arXiv
Fu, Zhenwu; Chen, Yong; Han, Bo REGINN-IT method with general convex penalty terms for nonlinear inverse problems. (English) Zbl 1498.35614 Appl. Anal. 101, No. 17, 5949-5973 (2022). MSC: 35R30 35K20 47A52 65L09 65M32 PDFBibTeX XMLCite \textit{Z. Fu} et al., Appl. Anal. 101, No. 17, 5949--5973 (2022; Zbl 1498.35614) Full Text: DOI
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Legendre spectral multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1495.65244 Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022). MSC: 65R20 45B05 47A52 65J10 65J20 PDFBibTeX XMLCite \textit{S. Patel} et al., Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022; Zbl 1495.65244) Full Text: DOI
Sumin, Mikhail Iosifovich On ill-posed problems, extremals of the Tikhonov functional and the regularized Lagrange principles. (Russian. English summary) Zbl 1504.47029 Vestn. Ross. Univ., Mat. 27, No. 137, 58-79 (2022). MSC: 47A52 49K27 90C25 90C46 PDFBibTeX XMLCite \textit{M. I. Sumin}, Vestn. Ross. Univ., Mat. 27, No. 137, 58--79 (2022; Zbl 1504.47029) Full Text: DOI MNR
Liu, Huan; Jin, Bangti; Lu, Xiliang Imaging anisotropic conductivities from current densities. (English) Zbl 1495.35214 SIAM J. Imaging Sci. 15, No. 2, 860-891 (2022). MSC: 35R30 35R25 35J25 47J06 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Imaging Sci. 15, No. 2, 860--891 (2022; Zbl 1495.35214) Full Text: DOI arXiv
Cao, Kai Convergence rates for the reaction coefficient and the initial temperature identification problems. (English) Zbl 1494.80006 Appl. Anal. 101, No. 7, 2472-2497 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80M50 65M32 65M30 65K10 65J20 65J08 47A52 47J06 80A19 35K05 35B65 35Q79 PDFBibTeX XMLCite \textit{K. Cao}, Appl. Anal. 101, No. 7, 2472--2497 (2022; Zbl 1494.80006) Full Text: DOI
Yang, Fan; Sun, Qiaoxi; Li, Xiaoxiao Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485-1518 (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485--1518 (2022; Zbl 1499.35706) Full Text: DOI
Yang, Hongqi; Zhang, Rong A fast multilevel iteration method for solving linear ill-posed integral equations. (English) Zbl 1503.47015 J. Inverse Ill-Posed Probl. 30, No. 3, 409-423 (2022). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Zhang}, J. Inverse Ill-Posed Probl. 30, No. 3, 409--423 (2022; Zbl 1503.47015) Full Text: DOI
Long, Le Dinh; Luc, Nguyen Hoang; Tatar, Salih; Baleanu, Dumitru; Can, Nguyen Huu An inverse source problem for pseudo-parabolic equation with Caputo derivative. (English) Zbl 1490.35542 J. Appl. Math. Comput. 68, No. 2, 739-765 (2022). MSC: 35R30 35K70 35R11 47J06 47H10 65M32 PDFBibTeX XMLCite \textit{L. D. Long} et al., J. Appl. Math. Comput. 68, No. 2, 739--765 (2022; Zbl 1490.35542) Full Text: DOI
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
De Vito, Ernesto; Fornasier, Massimo; Naumova, Valeriya A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. (English) Zbl 1493.62438 Anal. Appl., Singap. 20, No. 2, 353-400 (2022). MSC: 62J07 62G08 47A52 PDFBibTeX XMLCite \textit{E. De Vito} et al., Anal. Appl., Singap. 20, No. 2, 353--400 (2022; Zbl 1493.62438) Full Text: DOI arXiv
Gerth, Daniel; Ramlau, Ronny Estimating solution smoothness and data noise with Tikhonov regularization. (English) Zbl 1492.65150 Numer. Funct. Anal. Optim. 43, No. 1, 88-115 (2022). MSC: 65J20 47A52 PDFBibTeX XMLCite \textit{D. Gerth} and \textit{R. Ramlau}, Numer. Funct. Anal. Optim. 43, No. 1, 88--115 (2022; Zbl 1492.65150) Full Text: DOI arXiv
Kalmoun, El Mostafa; Allami, Fatimah On the existence and stability of minimizers for generalized Tikhonov functionals with general similarity data. (English) Zbl 1525.65048 AIMS Math. 6, No. 3, 2764-2777 (2021). MSC: 65J20 47A52 47J06 65J15 PDFBibTeX XMLCite \textit{E. M. Kalmoun} and \textit{F. Allami}, AIMS Math. 6, No. 3, 2764--2777 (2021; Zbl 1525.65048) Full Text: DOI
Pérez-Aros, Pedro; Vilches, Emilio Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets. (English) Zbl 1486.34117 Appl. Anal. Optim. 5, No. 2, 223-237 (2021). MSC: 34G25 47A52 47H05 47J35 90C25 PDFBibTeX XMLCite \textit{P. Pérez-Aros} and \textit{E. Vilches}, Appl. Anal. Optim. 5, No. 2, 223--237 (2021; Zbl 1486.34117) Full Text: arXiv Link
Mondal, Subhankar; Nair, M. Thamban On regularization of a source identification problem in a parabolic PDE and its finite dimensional analysis. (English) Zbl 1499.35719 J. Partial Differ. Equations 34, No. 3, 240-257 (2021). MSC: 35R30 65N21 47A52 PDFBibTeX XMLCite \textit{S. Mondal} and \textit{M. T. Nair}, J. Partial Differ. Equations 34, No. 3, 240--257 (2021; Zbl 1499.35719) Full Text: DOI
Elvetun, Ole Iøseth; Nielsen, Bjørn Fredrik Modified Tikhonov regularization for identifying several sources. (English) Zbl 1499.35714 Int. J. Numer. Anal. Model. 18, No. 6, 740-757 (2021). MSC: 35R30 47A52 65F22 PDFBibTeX XMLCite \textit{O. I. Elvetun} and \textit{B. F. Nielsen}, Int. J. Numer. Anal. Model. 18, No. 6, 740--757 (2021; Zbl 1499.35714) Full Text: arXiv Link
Regińska, Teresa A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem. (English) Zbl 1480.65138 Appl. Math. 48, No. 2, 111-123 (2021). MSC: 65J20 47A52 65J22 PDFBibTeX XMLCite \textit{T. Regińska}, Appl. Math. 48, No. 2, 111--123 (2021; Zbl 1480.65138) Full Text: DOI
Tahar, Bechouat; Nadjib, Boussetila; Faouzia, Rebbani A variant of projection-regularization method for ill-posed linear operator equations. (English) Zbl 07446897 Int. J. Comput. Methods 18, No. 4, Article ID 2150008, 35 p. (2021). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{B. Tahar} et al., Int. J. Comput. Methods 18, No. 4, Article ID 2150008, 35 p. (2021; Zbl 07446897) Full Text: DOI
Alecsa, Cristian Daniel; László, Szilárd Csaba Tikhonov regularization of a perturbed heavy ball system with vanishing damping. (English) Zbl 1484.90073 SIAM J. Optim. 31, No. 4, 2921-2954 (2021). MSC: 90C25 34G20 47J25 90C30 65K10 PDFBibTeX XMLCite \textit{C. D. Alecsa} and \textit{S. C. László}, SIAM J. Optim. 31, No. 4, 2921--2954 (2021; Zbl 1484.90073) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba Tikhonov regularization of a second order dynamical system with Hessian driven damping. (English) Zbl 1489.34088 Math. Program. 189, No. 1-2 (B), 151-186 (2021). Reviewer: Nicolae Lupa (Timişoara) MSC: 34G20 34A12 34D05 34E10 47J25 47H05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Math. Program. 189, No. 1--2 (B), 151--186 (2021; Zbl 1489.34088) Full Text: DOI arXiv
Neubauer, Andreas On Tikhonov-type regularization with approximated penalty terms. (English) Zbl 1523.47064 Inverse Probl. Imaging 15, No. 5, 1035-1050 (2021). MSC: 47J06 47A52 65J20 PDFBibTeX XMLCite \textit{A. Neubauer}, Inverse Probl. Imaging 15, No. 5, 1035--1050 (2021; Zbl 1523.47064) Full Text: DOI
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik A regularization operator for source identification for elliptic PDEs. (English) Zbl 1471.35329 Inverse Probl. Imaging 15, No. 4, 599-618 (2021). MSC: 35R30 35J05 35J25 47A52 65F22 65M32 PDFBibTeX XMLCite \textit{O. L. Elvetun} and \textit{B. F. Nielsen}, Inverse Probl. Imaging 15, No. 4, 599--618 (2021; Zbl 1471.35329) Full Text: DOI arXiv
Gerth, Daniel A new interpretation of (Tikhonov) regularization. (English) Zbl 1503.65119 Inverse Probl. 37, No. 6, Article ID 064002, 23 p. (2021). MSC: 65J20 65J10 47A52 PDFBibTeX XMLCite \textit{D. Gerth}, Inverse Probl. 37, No. 6, Article ID 064002, 23 p. (2021; Zbl 1503.65119) Full Text: DOI arXiv
Boţ, Radu Ioan; Meier, Dennis A strongly convergent Krasnosel’skiǐ-Mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces. (English) Zbl 07354995 J. Comput. Appl. Math. 395, Article ID 113589, 12 p. (2021). MSC: 47-XX PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{D. Meier}, J. Comput. Appl. Math. 395, Article ID 113589, 12 p. (2021; Zbl 07354995) Full Text: DOI arXiv
Mejjaoli, Hatem \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory. (English) Zbl 1486.44007 Complex Anal. Oper. Theory 15, No. 1, Paper No. 14, 54 p. (2021). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 44A20 46E22 47G10 42B10 47G30 PDFBibTeX XMLCite \textit{H. Mejjaoli}, Complex Anal. Oper. Theory 15, No. 1, Paper No. 14, 54 p. (2021; Zbl 1486.44007) Full Text: DOI
Boţ, Radu Ioan; Grad, Sorin-Mihai; Meier, Dennis; Staudigl, Mathias Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure. (English) Zbl 1481.34082 Adv. Nonlinear Anal. 10, 450-476 (2021). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G25 47H05 34D05 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Adv. Nonlinear Anal. 10, 450--476 (2021; Zbl 1481.34082) Full Text: DOI arXiv
Contino, Maximiliano; Fongi, Guillermina; Maestripieri, Alejandra; Muro, Santiago Total least squares problems on infinite dimensional spaces. (English) Zbl 1527.65040 Inverse Probl. 37, No. 4, Article ID 045008, 23 p. (2021). MSC: 65J22 47A52 PDFBibTeX XMLCite \textit{M. Contino} et al., Inverse Probl. 37, No. 4, Article ID 045008, 23 p. (2021; Zbl 1527.65040) Full Text: DOI arXiv
Mekoth, Chitra; George, Santhosh; Jidesh, P. Fractional Tikhonov regularization method in Hilbert scales. (English) Zbl 1474.47035 Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021). MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{C. Mekoth} et al., Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021; Zbl 1474.47035) Full Text: DOI
Bel Hadj Hassin, Anis; Chorfi, Lahcène Two-dimensional inverse heat conduction problem in a quarter plane: integral approach. (English) Zbl 1479.35939 J. Appl. Math. Comput. 62, No. 1-2, 565-586 (2020). MSC: 35R30 35K05 47A52 65M32 PDFBibTeX XMLCite \textit{A. Bel Hadj Hassin} and \textit{L. Chorfi}, J. Appl. Math. Comput. 62, No. 1--2, 565--586 (2020; Zbl 1479.35939) Full Text: DOI
Kanagaraj, K.; Reddy, G. D.; George, Santhosh Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. (English) Zbl 1510.47075 J. Appl. Math. Comput. 63, No. 1-2, 87-105 (2020). MSC: 47J06 65J20 65J15 PDFBibTeX XMLCite \textit{K. Kanagaraj} et al., J. Appl. Math. Comput. 63, No. 1--2, 87--105 (2020; Zbl 1510.47075) Full Text: DOI
Saouli, Nabil; Zouyed, Fairouz A modified Tikhonov regularization method for a class of inverse parabolic problems. (English) Zbl 1488.35627 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 181-2049 (2020). MSC: 35R30 47A52 35K90 35R25 PDFBibTeX XMLCite \textit{N. Saouli} and \textit{F. Zouyed}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 181--2049 (2020; Zbl 1488.35627) Full Text: DOI
Damirchi, J.; Pourgholi, R.; Shamami, T. R.; Zeidabadi, H.; Janmohammadi, A. Identification of a time dependent source function in a parabolic inverse problem via finite element approach. (English) Zbl 07344142 Indian J. Pure Appl. Math. 51, No. 4, 1587-1602 (2020). MSC: 47A52 35K05 35R30 65M70 PDFBibTeX XMLCite \textit{J. Damirchi} et al., Indian J. Pure Appl. Math. 51, No. 4, 1587--1602 (2020; Zbl 07344142) Full Text: DOI
Kokurin, Mikhail Y. On the clustering of stationary points of Tikhonov’s functional for conditionally well-posed inverse problems. (English) Zbl 1465.65046 J. Inverse Ill-Posed Probl. 28, No. 5, 713-725 (2020). MSC: 65J22 65J20 47J06 47J25 PDFBibTeX XMLCite \textit{M. Y. Kokurin}, J. Inverse Ill-Posed Probl. 28, No. 5, 713--725 (2020; Zbl 1465.65046) Full Text: DOI
Margotti, Fábio; Rabelo, Joel Tikhonov-like methods with inexact minimization for solving linear ill-posed problems. (English) Zbl 1455.65090 Inverse Probl. 36, No. 12, Article ID 125013, 29 p. (2020). MSC: 65J22 47A52 65J20 90C25 PDFBibTeX XMLCite \textit{F. Margotti} and \textit{J. Rabelo}, Inverse Probl. 36, No. 12, Article ID 125013, 29 p. (2020; Zbl 1455.65090) Full Text: DOI
Tuan, Nguyen Huy; Huynh, Le Nhat; Baleanu, Dumitru; Can, Nguyen Huu On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator. (English) Zbl 1447.35390 Math. Methods Appl. Sci. 43, No. 6, 2858-2882 (2020). MSC: 35R30 35R25 35K15 47J06 47H10 35K05 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Math. Methods Appl. Sci. 43, No. 6, 2858--2882 (2020; Zbl 1447.35390) Full Text: DOI
Grasmair, Markus Source conditions for non-quadratic Tikhonov regularization. (English) Zbl 1518.47023 Numer. Funct. Anal. Optim. 41, No. 11, 1352-1372 (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65J20 47N10 PDFBibTeX XMLCite \textit{M. Grasmair}, Numer. Funct. Anal. Optim. 41, No. 11, 1352--1372 (2020; Zbl 1518.47023) Full Text: DOI arXiv
Hinterer, Fabian; Hubmer, Simon; Ramlau, Ronny A note on the minimization of a Tikhonov functional with \(\ell^1\)-penalty. (English) Zbl 1455.65086 Inverse Probl. 36, No. 7, Article ID 074001, 19 p. (2020). Reviewer: Bangti Jin (London) MSC: 65J22 65J20 47J06 PDFBibTeX XMLCite \textit{F. Hinterer} et al., Inverse Probl. 36, No. 7, Article ID 074001, 19 p. (2020; Zbl 1455.65086) Full Text: DOI arXiv
Tang, Guo-ji; Wan, Zhongping; Wang, Xianfu On the existence of solutions and Tikhonov regularization of hemivariational inequality problems. (English) Zbl 1472.90144 Vietnam J. Math. 48, No. 2, 221-236 (2020). Reviewer: Bing Tan (Chengdu) MSC: 90C33 47J20 49J40 PDFBibTeX XMLCite \textit{G.-j. Tang} et al., Vietnam J. Math. 48, No. 2, 221--236 (2020; Zbl 1472.90144) Full Text: DOI
Benvenuto, Federico; Jin, Bangti A parameter choice rule for Tikhonov regularization based on predictive risk. (English) Zbl 07211714 Inverse Probl. 36, No. 6, Article ID 065004, 24 p. (2020). MSC: 47Axx 44Axx 65-XX 65Jxx PDFBibTeX XMLCite \textit{F. Benvenuto} and \textit{B. Jin}, Inverse Probl. 36, No. 6, Article ID 065004, 24 p. (2020; Zbl 07211714) Full Text: DOI arXiv
Hofmann, Bernd; Plato, Robert Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. (English) Zbl 07192776 ETNA, Electron. Trans. Numer. Anal. 53, 313-328 (2020). MSC: 65J20 65J15 65J22 47J06 47J05 PDFBibTeX XMLCite \textit{B. Hofmann} and \textit{R. Plato}, ETNA, Electron. Trans. Numer. Anal. 53, 313--328 (2020; Zbl 07192776) Full Text: DOI arXiv Link
Mohammady, Somaieh; Eslahchi, M. R. Extension of Tikhonov regularization method using linear fractional programming. (English) Zbl 1441.47009 J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65F22 49K40 65N20 PDFBibTeX XMLCite \textit{S. Mohammady} and \textit{M. R. Eslahchi}, J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020; Zbl 1441.47009) Full Text: DOI
Shi, Cong; Ropers, Claus; Hohage, Thorsten Density matrix reconstructions in ultrafast transmission electron microscopy: uniqueness, stability, and convergence rates. (English) Zbl 1479.78014 Inverse Probl. 36, No. 2, Article ID 025005, 17 p. (2020). MSC: 78A46 78A35 49N45 47A05 47A52 PDFBibTeX XMLCite \textit{C. Shi} et al., Inverse Probl. 36, No. 2, Article ID 025005, 17 p. (2020; Zbl 1479.78014) Full Text: DOI arXiv
Gerth, Daniel; Hofmann, Bernd Oversmoothing regularization with \(\ell^1\)-penalty term. (English) Zbl 1484.47021 AIMS Math. 4, No. 4, 1223-1247 (2019). MSC: 47A52 47N10 49N45 65J20 PDFBibTeX XMLCite \textit{D. Gerth} and \textit{B. Hofmann}, AIMS Math. 4, No. 4, 1223--1247 (2019; Zbl 1484.47021) Full Text: DOI
Pricop-Jeckstadt, M. Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. (English) Zbl 1460.65061 Inverse Probl. Sci. Eng. 27, No. 2, 205-236 (2019). MSC: 65J22 62G08 47N20 PDFBibTeX XMLCite \textit{M. Pricop-Jeckstadt}, Inverse Probl. Sci. Eng. 27, No. 2, 205--236 (2019; Zbl 1460.65061) Full Text: DOI
Kokurin, M. Yu. On regularization procedures with linear accuracy estimates of approximations. (English. Russian original) Zbl 07146211 Russ. Math. 63, No. 5, 27-35 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 5, 30-39 (2019). MSC: 65Jxx 47Jxx PDFBibTeX XMLCite \textit{M. Yu. Kokurin}, Russ. Math. 63, No. 5, 27--35 (2019; Zbl 07146211); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 5, 30--39 (2019) Full Text: DOI
Haltmeier, Markus; Nguyen, Linh V. Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media. (English) Zbl 1455.94020 J. Math. Imaging Vis. 61, No. 7, 1007-1021 (2019). MSC: 94A08 35L15 47J25 PDFBibTeX XMLCite \textit{M. Haltmeier} and \textit{L. V. Nguyen}, J. Math. Imaging Vis. 61, No. 7, 1007--1021 (2019; Zbl 1455.94020) Full Text: DOI arXiv
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh; Xiao, Yi-Bin Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems. (English) Zbl 1469.65104 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813-2826 (2019). MSC: 65J20 65J15 47J06 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813--2826 (2019; Zbl 1469.65104) Full Text: DOI
Wang, Wei; Lu, Shuai; Hofmann, Bernd; Cheng, Jin Tikhonov regularization with \({\ell^{0}}\)-term complementing a convex penalty: \({\ell^{1}}\)-convergence under sparsity constraints. (English) Zbl 1480.65139 J. Inverse Ill-Posed Probl. 27, No. 4, 575-590 (2019). MSC: 65J20 47A52 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Inverse Ill-Posed Probl. 27, No. 4, 575--590 (2019; Zbl 1480.65139) Full Text: DOI arXiv
Kontak, Max; Michel, Volker The regularized weak functional matching pursuit for linear inverse problems. (English) Zbl 1480.65143 J. Inverse Ill-Posed Probl. 27, No. 3, 317-340 (2019). Reviewer: Bangti Jin (London) MSC: 65J22 65R32 35R30 45Q05 47A52 65J20 PDFBibTeX XMLCite \textit{M. Kontak} and \textit{V. Michel}, J. Inverse Ill-Posed Probl. 27, No. 3, 317--340 (2019; Zbl 1480.65143) Full Text: DOI Link
Hinze, Michael; Hofmann, Bernd; Quyen, Tran Nhan Tam A regularization approach for an inverse source problem in elliptic systems from single Cauchy data. (English) Zbl 1412.65040 Numer. Funct. Anal. Optim. 40, No. 9, 1080-1112 (2019). MSC: 65J20 65J22 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{M. Hinze} et al., Numer. Funct. Anal. Optim. 40, No. 9, 1080--1112 (2019; Zbl 1412.65040) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Meier, Dennis Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces. (English) Zbl 07046256 Optim. Methods Softw. 34, No. 3, 489-514 (2019). MSC: 47J25 47H09 47H05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Optim. Methods Softw. 34, No. 3, 489--514 (2019; Zbl 07046256) Full Text: DOI arXiv
Albani, Vinicius; De Cezaro, Adriano A connection between uniqueness of minimizers in Tikhonov-type regularization and Morozov-like discrepancy principles. (English) Zbl 07031523 Inverse Probl. Imaging 13, No. 1, 211-229 (2019). MSC: 65J22 47J06 35R30 PDFBibTeX XMLCite \textit{V. Albani} and \textit{A. De Cezaro}, Inverse Probl. Imaging 13, No. 1, 211--229 (2019; Zbl 07031523) Full Text: DOI
Chen, De-Han; Yousept, Irwin Variational source condition for ill-posed backward nonlinear Maxwell’s equations. (English) Zbl 1414.35223 Inverse Probl. 35, No. 2, Article ID 025001, 25 p. (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q61 65M32 47J06 47A52 65J20 46E35 30E05 78A25 PDFBibTeX XMLCite \textit{D.-H. Chen} and \textit{I. Yousept}, Inverse Probl. 35, No. 2, Article ID 025001, 25 p. (2019; Zbl 1414.35223) Full Text: DOI Link
Katta, Ravinder; Reddy, G. D.; Sukavanam, N. Computation of control for linear approximately controllable system using weighted Tikhonov regularization. (English) Zbl 1426.93027 Appl. Math. Comput. 317, 252-263 (2018). MSC: 93B05 47A52 65J10 93C25 PDFBibTeX XMLCite \textit{R. Katta} et al., Appl. Math. Comput. 317, 252--263 (2018; Zbl 1426.93027) Full Text: DOI
Balhag, Aicha; Chbani, Zaki; Riahi, Hassan Existence and asymptotic behavior of second-order difference equation with Tikhonov regularization. (English) Zbl 1407.39003 Numer. Funct. Anal. Optim. 39, No. 16, 1727-1741 (2018). MSC: 39A12 39A10 47H05 PDFBibTeX XMLCite \textit{A. Balhag} et al., Numer. Funct. Anal. Optim. 39, No. 16, 1727--1741 (2018; Zbl 1407.39003) Full Text: DOI
Machado, M. P.; Margotti, Fábio; Leitão, Antonio On nonstationary iterated Tikhonov methods for ill-posed equations in Banach spaces. (English) Zbl 1471.47008 Hofmann, Bernd (ed.) et al., New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Cham: Birkhäuser. Trends Math., 175-193 (2018). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47A52 65F22 PDFBibTeX XMLCite \textit{M. P. Machado} et al., in: New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 -- November 3, 2017. Cham: Birkhäuser. 175--193 (2018; Zbl 1471.47008) Full Text: DOI
Huong, Tran Thi; Kim, Jong Kyu; Thuy, Nguyen Thi Thu Regularization for the problem of finding a solution of a system of nonlinear monotone ill-posed equations in Banach spaces. (English) Zbl 06914894 J. Korean Math. Soc. 55, No. 4, 849-875 (2018). MSC: 47H17 47H20 PDFBibTeX XMLCite \textit{T. T. Huong} et al., J. Korean Math. Soc. 55, No. 4, 849--875 (2018; Zbl 06914894) Full Text: Link
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 PDFBibTeX XMLCite \textit{M. Y. Kokurin}, J. Inverse Ill-Posed Probl. 26, No. 4, 463--475 (2018; Zbl 1398.65115) Full Text: DOI
Kassay, Gábor; Rădulescu, Vicenţiu D. Equilibrium problems and applications. (English) Zbl 1448.47005 Mathematics in Science and Engineering. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-811029-4/pbk; 978-0-12-811030-0/ebook). xx, 419 p. (2018). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47-02 91-02 49-02 47J20 34C25 46N10 47H04 47H10 47J22 49J35 49J40 49J52 49J53 49K35 49K40 49M99 58E30 58E35 90C31 90C33 90C47 91A10 91A40 91B50 91B52 PDFBibTeX XMLCite \textit{G. Kassay} and \textit{V. D. Rădulescu}, Equilibrium problems and applications. Amsterdam: Elsevier/Academic Press (2018; Zbl 1448.47005)
Qian, Zhi A new generalized Tikhonov method based on filtering idea for stable analytic continuation. (English) Zbl 1398.65116 Inverse Probl. Sci. Eng. 26, No. 3, 362-375 (2018). MSC: 65J20 65J10 65D18 47A52 PDFBibTeX XMLCite \textit{Z. Qian}, Inverse Probl. Sci. Eng. 26, No. 3, 362--375 (2018; Zbl 1398.65116) Full Text: DOI
Gilboa, Guy Nonlinear eigenproblems in image processing and computer vision. (English) Zbl 1402.68009 Advances in Computer Vision and Pattern Recognition. Cham: Springer (ISBN 978-3-319-75846-6/hbk; 978-3-319-75847-3/ebook). xx, 172 p. (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 68-02 35P30 47A52 49M30 65D19 65J20 65K10 68T45 68U10 94A08 PDFBibTeX XMLCite \textit{G. Gilboa}, Nonlinear eigenproblems in image processing and computer vision. Cham: Springer (2018; Zbl 1402.68009) Full Text: DOI
Nair, M. Thamban; Sukavanam, N.; Katta, Ravinder Computation of control for linear approximately controllable system using Tikhonov regularization. (English) Zbl 1492.47020 Numer. Funct. Anal. Optim. 39, No. 3, 308-321 (2018). MSC: 47A52 93B05 93C25 PDFBibTeX XMLCite \textit{M. T. Nair} et al., Numer. Funct. Anal. Optim. 39, No. 3, 308--321 (2018; Zbl 1492.47020) Full Text: DOI
Hofmann, Bernd; Mathé, Peter Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales. (English) Zbl 1396.65097 Inverse Probl. 34, No. 1, Article ID 015007, 14 p. (2018). Reviewer: Xiaolong Qin (Chengdu) MSC: 65J22 47J20 PDFBibTeX XMLCite \textit{B. Hofmann} and \textit{P. Mathé}, Inverse Probl. 34, No. 1, Article ID 015007, 14 p. (2018; Zbl 1396.65097) Full Text: DOI arXiv
Flemming, Jens; Gerth, Daniel Injectivity and \(\text{weak}^\star\)-to-weak continuity suffice for convergence rates in \(\ell^{1}\)-regularization. (English) Zbl 1382.65159 J. Inverse Ill-Posed Probl. 26, No. 1, 85-94 (2018). MSC: 65J20 65J10 47A52 PDFBibTeX XMLCite \textit{J. Flemming} and \textit{D. Gerth}, J. Inverse Ill-Posed Probl. 26, No. 1, 85--94 (2018; Zbl 1382.65159) Full Text: DOI arXiv
Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten A modified coupled complex boundary method for an inverse chromatography problem. (English) Zbl 1408.65067 J. Inverse Ill-Posed Probl. 26, No. 1, 33-49 (2018). MSC: 65M32 65N21 35R30 47A52 65K15 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Inverse Ill-Posed Probl. 26, No. 1, 33--49 (2018; Zbl 1408.65067) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. B. Bakushinsky} et al., Regularization algorithms for ill-posed problems. Berlin: De Gruyter (2018; Zbl 1436.65004) Full Text: DOI
Regińska, Teresa Discrepancy sets for combined least squares projection and Tikhonov regularization. (English) Zbl 1488.65135 Math. Model. Anal. 22, No. 2, 202-212 (2017). MSC: 65J20 47A52 65J10 PDFBibTeX XMLCite \textit{T. Regińska}, Math. Model. Anal. 22, No. 2, 202--212 (2017; Zbl 1488.65135) Full Text: DOI
Taghavi, A.; Babaei, A.; Mohammadpour, A. A stable numerical scheme for a time fractional inverse parabolic equation. (English) Zbl 1398.65239 Inverse Probl. Sci. Eng. 25, No. 10, 1474-1491 (2017). MSC: 65M32 35R11 26A33 47A52 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Inverse Probl. Sci. Eng. 25, No. 10, 1474--1491 (2017; Zbl 1398.65239) Full Text: DOI
Cobos-Sánchez, Clemente; García-Pacheco, Francisco Javier; Moreno-Pulido, Soledad; Sáez-Martínez, Sol Supporting vectors of continuous linear operators. (English) Zbl 1383.65055 Ann. Funct. Anal. 8, No. 4, 520-530 (2017). MSC: 65J10 65J20 15A60 47A52 47L25 PDFBibTeX XMLCite \textit{C. Cobos-Sánchez} et al., Ann. Funct. Anal. 8, No. 4, 520--530 (2017; Zbl 1383.65055) Full Text: DOI Euclid
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha Monnanda Cubic convergence order yielding iterative regularization methods for ill-posed Hammerstein type operator equations. (English) Zbl 1468.65066 Rend. Circ. Mat. Palermo (2) 66, No. 3, 303-323 (2017). MSC: 65J20 47J06 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Rend. Circ. Mat. Palermo (2) 66, No. 3, 303--323 (2017; Zbl 1468.65066) Full Text: DOI
Nair, M. T. A discrete regularization method for ill-posed operator equations. (English) Zbl 06823718 J. Anal. 25, No. 2, 253-266 (2017). MSC: 47A52 65F22 PDFBibTeX XMLCite \textit{M. T. Nair}, J. Anal. 25, No. 2, 253--266 (2017; Zbl 06823718) Full Text: DOI arXiv
Levin, Eitan; Meltzer, Alexander Y. Estimation of the regularization parameter in linear discrete ill-posed problems using the Picard parameter. (English) Zbl 1378.65117 SIAM J. Sci. Comput. 39, No. 6, A2741-A2762 (2017). MSC: 65J20 65J10 47A52 65J22 PDFBibTeX XMLCite \textit{E. Levin} and \textit{A. Y. Meltzer}, SIAM J. Sci. Comput. 39, No. 6, A2741--A2762 (2017; Zbl 1378.65117) Full Text: DOI arXiv
Wang, Jun-Gang; Li, Yan; Ran, Yu-Hong Convergence of Chebyshev type regularization method under Morozov discrepancy principle. (English) Zbl 1376.65091 Appl. Math. Lett. 74, 174-180 (2017). MSC: 65J22 65J20 65J15 47J06 PDFBibTeX XMLCite \textit{J.-G. Wang} et al., Appl. Math. Lett. 74, 174--180 (2017; Zbl 1376.65091) Full Text: DOI
Bianchi, Davide; Donatelli, Marco On generalized iterated Tikhonov regularization with operator-dependent seminorms. (English) Zbl 1372.65117 ETNA, Electron. Trans. Numer. Anal. 47, 73-99 (2017). MSC: 65F22 47A52 65R32 PDFBibTeX XMLCite \textit{D. Bianchi} and \textit{M. Donatelli}, ETNA, Electron. Trans. Numer. Anal. 47, 73--99 (2017; Zbl 1372.65117) Full Text: EMIS
Benvenuto, Federico A study on regularization for discrete inverse problems with model-dependent noise. (English) Zbl 1375.65078 SIAM J. Numer. Anal. 55, No. 5, 2187-2203 (2017). MSC: 65J22 65J20 65J10 47A52 65D18 92C55 PDFBibTeX XMLCite \textit{F. Benvenuto}, SIAM J. Numer. Anal. 55, No. 5, 2187--2203 (2017; Zbl 1375.65078) Full Text: DOI
Buccini, Alessandro Regularizing preconditioners by non-stationary iterated Tikhonov with general penalty term. (English) Zbl 1372.65161 Appl. Numer. Math. 116, 64-81 (2017). MSC: 65J20 65J10 47A52 65F08 65D18 PDFBibTeX XMLCite \textit{A. Buccini}, Appl. Numer. Math. 116, 64--81 (2017; Zbl 1372.65161) Full Text: DOI Link
Hanke, Martin A taste of inverse problems. Basic theory and examples. (English) Zbl 1381.65042 Other Titles in Applied Mathematics 153. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-493-5/pbk; 978-1-61197-494-2/ebook). viii, 162 p. (2017). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 65-01 47A52 65L09 65M32 00A06 65J20 65J10 65N21 65R32 PDFBibTeX XMLCite \textit{M. Hanke}, A taste of inverse problems. Basic theory and examples. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1381.65042) Full Text: DOI
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDFBibTeX XMLCite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Yang, Fan; Li, Xiao-Xiao; Li, Dun-Gang; Wang, Lan The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1516.35544 Math. Comput. Sci. 11, No. 1, 91-110 (2017). MSC: 35R30 35R11 47A52 65M30 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Comput. Sci. 11, No. 1, 91--110 (2017; Zbl 1516.35544) Full Text: DOI
Wang, Min The existence results and Tikhonov regularization method for generalized mixed variational inequalities in Banach spaces. (English) Zbl 1370.58007 Anal. Math. Phys. 7, No. 2, 151-163 (2017). MSC: 58E35 47J20 49J40 PDFBibTeX XMLCite \textit{M. Wang}, Anal. Math. Phys. 7, No. 2, 151--163 (2017; Zbl 1370.58007) Full Text: DOI
Gerth, Daniel; Hofinger, Andreas; Ramlau, Ronny On the lifting of deterministic convergence rates for inverse problems with stochastic noise. (English) Zbl 1368.60073 Inverse Probl. Imaging 11, No. 4, 663-687 (2017). MSC: 60H35 65R32 47J06 PDFBibTeX XMLCite \textit{D. Gerth} et al., Inverse Probl. Imaging 11, No. 4, 663--687 (2017; Zbl 1368.60073) Full Text: DOI arXiv
Dong, Guozhi; Jüttler, Bert; Scherzer, Otmar; Takacs, Thomas Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. (English) Zbl 1375.47002 Inverse Probl. Imaging 11, No. 2, 221-246 (2017). MSC: 47A52 65J20 53B20 46C99 65D07 PDFBibTeX XMLCite \textit{G. Dong} et al., Inverse Probl. Imaging 11, No. 2, 221--246 (2017; Zbl 1375.47002) Full Text: DOI arXiv
Ibarrola, Francisco J.; Mazzieri, Gisela L.; Spies, Ruben D.; Temperini, Karina G. Anisotropic \(\mathrm{BV}-L^{2}\) regularization of linear inverse ill-posed problems. (English) Zbl 1358.65033 J. Math. Anal. Appl. 450, No. 1, 427-443 (2017). MSC: 65J10 65J20 65J22 65D18 94A08 47A52 PDFBibTeX XMLCite \textit{F. J. Ibarrola} et al., J. Math. Anal. Appl. 450, No. 1, 427--443 (2017; Zbl 1358.65033) Full Text: DOI