Dang, Trong Duc; Bui, Duy Thanh; Luu, Thang Xuan A non-homogeneous Cauchy problem for an elliptic equation with non-constant coefficient. (English) Zbl 07518235 Appl. Anal. 101, No. 6, 2342-2371 (2022). MSC: 35J61 45D05 65J20 65R30 PDF BibTeX XML Cite \textit{T. D. Dang} et al., Appl. Anal. 101, No. 6, 2342--2371 (2022; Zbl 07518235) Full Text: DOI OpenURL
Mondal, Subhankar; Nair, M. Thamban Identification of matrix diffusion coefficient in a parabolic PDE. (English) Zbl 07516751 Comput. Methods Appl. Math. 22, No. 2, 413-441 (2022). MSC: 35R30 35K20 35R25 47A52 65N21 65N30 PDF BibTeX XML Cite \textit{S. Mondal} and \textit{M. T. Nair}, Comput. Methods Appl. Math. 22, No. 2, 413--441 (2022; Zbl 07516751) Full Text: DOI OpenURL
Yang, Hongqi; Zhang, Rong A modified minimal error method for solving nonlinear integral equations via multiscale Galerkin methods. (English) Zbl 07510810 Numer. Funct. Anal. Optim. 43, No. 1, 1-15 (2022). MSC: 65J20 65D25 47A52 47J06 PDF BibTeX XML Cite \textit{H. Yang} and \textit{R. Zhang}, Numer. Funct. Anal. Optim. 43, No. 1, 1--15 (2022; Zbl 07510810) Full Text: DOI OpenURL
Rabelo, J. C.; Leitão, A. Addendum: On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations. (English) Zbl 07510533 Inverse Probl. 38, No. 5, Article ID 059401, 3 p. (2022). MSC: 65J20 65J10 PDF BibTeX XML Cite \textit{J. C. Rabelo} and \textit{A. Leitão}, Inverse Probl. 38, No. 5, Article ID 059401, 3 p. (2022; Zbl 07510533) Full Text: DOI OpenURL
Caruso, Noè Angelo; Michelangeli, Alessandro; Novati, Paolo On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. (English) Zbl 07473147 Asymptotic Anal. 127, No. 1-2, 167-189 (2022). MSC: 35Qxx PDF BibTeX XML Cite \textit{N. A. Caruso} et al., Asymptotic Anal. 127, No. 1--2, 167--189 (2022; Zbl 07473147) Full Text: DOI arXiv OpenURL
Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. Calculation of the gradient of Tikhonov’s functional in solving coefficient inverse problems for linear partial differential equations. (English) Zbl 07472946 J. Inverse Ill-Posed Probl. 30, No. 1, 23-34 (2022). MSC: 65R20 65R30 65R32 35J25 35J55 35L20 35R25 35R30 PDF BibTeX XML Cite \textit{A. S. Leonov} et al., J. Inverse Ill-Posed Probl. 30, No. 1, 23--34 (2022; Zbl 07472946) Full Text: DOI OpenURL
Huang, Guangxin; Liu, Yuanyuan; Yin, Feng Tikhonov regularization with MTRSVD method for solving large-scale discrete ill-posed problems. (English) Zbl 1480.65093 J. Comput. Appl. Math. 405, Article ID 113969, 10 p. (2022). MSC: 65F22 15A06 PDF BibTeX XML Cite \textit{G. Huang} et al., J. Comput. Appl. Math. 405, Article ID 113969, 10 p. (2022; Zbl 1480.65093) Full Text: DOI OpenURL
Rabelo, J. C.; Saporito, Y. F.; Leitão, A. On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations. (English) Zbl 1480.65137 Inverse Probl. 38, No. 2, Article ID 025003, 23 p. (2022); addendum ibid 38, No. 5, Article ID 059401, 3 p. (2022). MSC: 65J20 65J10 PDF BibTeX XML Cite \textit{J. C. Rabelo} et al., Inverse Probl. 38, No. 2, Article ID 025003, 23 p. (2022; Zbl 1480.65137) Full Text: DOI OpenURL
Wang, Yuchan; Chen, Qun; Liu, Jijun On the cavity detection in a heat conductive medium from time-average boundary temperature measurement. (English) Zbl 1473.35663 J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022). MSC: 35R30 35K05 35K20 47A52 41A60 65M32 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022; Zbl 1473.35663) Full Text: DOI OpenURL
Mittal, Gaurav; Giri, Ankik Kumar Convergence rates for iteratively regularized Gauss-Newton method subject to stability constraints. (English) Zbl 07396403 J. Comput. Appl. Math. 400, Article ID 113744, 16 p. (2022). MSC: 47A52 65J15 65J20 PDF BibTeX XML Cite \textit{G. Mittal} and \textit{A. K. Giri}, J. Comput. Appl. Math. 400, Article ID 113744, 16 p. (2022; Zbl 07396403) Full Text: DOI OpenURL
Zhang, Rong; Zhou, Bing Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space. (English) Zbl 1473.65066 J. Comput. Appl. Math. 400, Article ID 113741, 16 p. (2022). MSC: 65J20 65J10 65J22 65R20 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{B. Zhou}, J. Comput. Appl. Math. 400, Article ID 113741, 16 p. (2022; Zbl 1473.65066) Full Text: DOI OpenURL
Karapinar, Erdal; Binh, Ho Duy; Luc, Nguyen Hoang; Can, Nguyen Huu On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems. (English) Zbl 07526169 Adv. Difference Equ. 2021, Paper No. 70, 24 p. (2021). MSC: 35K55 35K70 35K92 47A52 47J06 PDF BibTeX XML Cite \textit{E. Karapinar} et al., Adv. Difference Equ. 2021, Paper No. 70, 24 p. (2021; Zbl 07526169) Full Text: DOI OpenURL
Umbricht, Guillermo Federico Identification of the source for full parabolic equations. (English) Zbl 07499165 Math. Model. Anal. 26, No. 3, 339-357 (2021). MSC: 35R30 35R25 35K20 47A52 58J35 65T50 PDF BibTeX XML Cite \textit{G. F. Umbricht}, Math. Model. Anal. 26, No. 3, 339--357 (2021; Zbl 07499165) Full Text: DOI OpenURL
Lebedeva, A. V.; Ryabov, V. M. On regularization of the solution of integral equations of the first kind using quadrature formulas. (English. Russian original) Zbl 07485532 Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361-365 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593-599 (2021). MSC: 65Rxx 65-XX 65Fxx PDF BibTeX XML Cite \textit{A. V. Lebedeva} and \textit{V. M. Ryabov}, Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361--365 (2021; Zbl 07485532); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593--599 (2021) Full Text: DOI OpenURL
Romanovski, M. A locally sequential refinement of the growth dynamics identification. (English) Zbl 07484733 Inverse Probl. Sci. Eng. 29, No. 13, 2719-2756 (2021). MSC: 34A34 34A55 47A52 65L09 65J20 65L08 65R30 65N21 PDF BibTeX XML Cite \textit{M. Romanovski}, Inverse Probl. Sci. Eng. 29, No. 13, 2719--2756 (2021; Zbl 07484733) Full Text: DOI OpenURL
Sumin, Vladimir Iosifovich; Sumin, Mikhail Iosifovich Regularized classical optimality conditions in iterative form for convex optimization problems for distributed Volterra-type systems. (Russian. English summary) Zbl 1483.49029 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 2, 265-284 (2021). MSC: 49K20 39B22 49N15 47A52 PDF BibTeX XML Cite \textit{V. I. Sumin} and \textit{M. I. Sumin}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 2, 265--284 (2021; Zbl 1483.49029) Full Text: DOI MNR OpenURL
Timonov, A. Regularization of the boundary control method for numerical solutions of the inverse problem for an acoustic wave equation. (English) Zbl 07479293 Inverse Probl. Sci. Eng. 29, No. 10, 1477-1496 (2021). MSC: 35L05 35L20 35R30 65D25 65F10 65F22 65M30 PDF BibTeX XML Cite \textit{A. Timonov}, Inverse Probl. Sci. Eng. 29, No. 10, 1477--1496 (2021; Zbl 07479293) Full Text: DOI OpenURL
Pasha, Mirjeta; Kupis, Shyla; Ahmad, Sanwar; Khan, Taufiquar A Krylov subspace type method for electrical impedance tomography. (English) Zbl 07477263 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2827-2847 (2021). MSC: 65N21 65N20 65N22 35R30 65K10 65F10 92C55 PDF BibTeX XML Cite \textit{M. Pasha} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2827--2847 (2021; Zbl 07477263) Full Text: DOI OpenURL
Beinert, Robert; Jung, Peter; Steidl, Gabriele; Szollmann, Tom Super-resolution for doubly-dispersive channel estimation. (English) Zbl 07465299 Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 16, 36 p. (2021). MSC: 47A62 65R30 65T99 94A20 PDF BibTeX XML Cite \textit{R. Beinert} et al., Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 16, 36 p. (2021; Zbl 07465299) Full Text: DOI arXiv OpenURL
Fan, Bin; Azaïez, Mejdi; Xu, Chuanju An extension of the Landweber regularization for a backward time fractional wave problem. (English) Zbl 1476.65218 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893-2916 (2021). MSC: 65M32 35R11 47A52 35L05 PDF BibTeX XML Cite \textit{B. Fan} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893--2916 (2021; Zbl 1476.65218) Full Text: DOI OpenURL
Can, Nguyen Huu; Tuan, Nguyen Huy; O’Regan, Donal; Au, Vo Van On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404 Evol. Equ. Control Theory 10, No. 1, 103-127 (2021). MSC: 35R30 35L35 35L76 47J06 47H10 47A52 PDF BibTeX XML Cite \textit{N. H. Can} et al., Evol. Equ. Control Theory 10, No. 1, 103--127 (2021; Zbl 1480.35404) Full Text: DOI OpenURL
Yang, Fan; Wu, Hang-Hang; Li, Xiao-Xiao Three regularization methods for identifying the initial value of homogeneous anomalous secondary diffusion equation. (English) Zbl 1479.35958 Math. Methods Appl. Sci. 44, No. 17, 13723-13755 (2021). MSC: 35R30 35K20 35R25 47A52 PDF BibTeX XML Cite \textit{F. Yang} et al., Math. Methods Appl. Sci. 44, No. 17, 13723--13755 (2021; Zbl 1479.35958) Full Text: DOI OpenURL
Wang, Jing Na; Zhou, Yong; He, Jia Wei Existence and regularization of solutions for nonlinear fractional Rayleigh-Stokes problem with final condition. (English) Zbl 1479.35929 Math. Methods Appl. Sci. 44, No. 17, 13493-13508 (2021). MSC: 35R11 35R30 35K20 35Q35 47A52 PDF BibTeX XML Cite \textit{J. N. Wang} et al., Math. Methods Appl. Sci. 44, No. 17, 13493--13508 (2021; Zbl 1479.35929) Full Text: DOI OpenURL
Nguyen, Huy Tuan; Nguyen, Huu Can; Wang, Renhai; Zhou, Yong Initial value problem for fractional Volterra integro-differential equations with Caputo derivative. (English) Zbl 1478.35226 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483-6510 (2021). MSC: 35R11 35B44 35K20 35K58 35K70 35K92 35R09 47A52 47J06 PDF BibTeX XML Cite \textit{H. T. Nguyen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483--6510 (2021; Zbl 1478.35226) Full Text: DOI OpenURL
Nair, M. Thamban On truncated spectral regularization for an ill-posed evolution equation. (English) Zbl 1479.35933 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 30, 11 p. (2021). MSC: 35R25 35K90 47D06 47J06 47H10 PDF BibTeX XML Cite \textit{M. T. Nair}, Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 30, 11 p. (2021; Zbl 1479.35933) Full Text: DOI arXiv 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 07432732 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 07432732) Full Text: DOI MNR OpenURL
Zhang, Lei; Zhang, Guo-Feng Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations. (English) Zbl 1476.65049 Comput. Appl. Math. 40, No. 4, Paper No. 116, 24 p. (2021). MSC: 65F10 65N20 65F50 65N22 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{G.-F. Zhang}, Comput. Appl. Math. 40, No. 4, Paper No. 116, 24 p. (2021; Zbl 1476.65049) Full Text: DOI OpenURL
Hamida, S.; Benrabah, A. Regularized solution of an ill-posed biharmonic equation. (English) Zbl 07424507 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709-1731 (2021). MSC: 47A52 65J20 31A30 74K20 31A25 PDF BibTeX XML Cite \textit{S. Hamida} and \textit{A. Benrabah}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709--1731 (2021; Zbl 07424507) Full Text: DOI OpenURL
Floridia, Giuseppe; Takase, Hiroshi Inverse problems for first-order hyperbolic equations with time-dependent coefficients. (English) Zbl 1476.35331 J. Differ. Equations 305, 45-71 (2021). MSC: 35R30 35R25 35L04 35F16 35Q49 PDF BibTeX XML Cite \textit{G. Floridia} and \textit{H. Takase}, J. Differ. Equations 305, 45--71 (2021; Zbl 1476.35331) Full Text: DOI arXiv OpenURL
Yang, Fan; Fu, Jun-Liang; Fan, Ping; Li, Xiao-Xiao Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem. (English) Zbl 1476.35339 Acta Appl. Math. 175, Paper No. 13, 19 p. (2021). MSC: 35R30 35R11 35R25 47A52 PDF BibTeX XML Cite \textit{F. Yang} et al., Acta Appl. Math. 175, Paper No. 13, 19 p. (2021; Zbl 1476.35339) Full Text: DOI OpenURL
Mei, Wei; Yang, Qingzhi Upper bounds for eigenvalues of Cauchy-Hankel tensors. (English) Zbl 07419615 Front. Math. China 16, No. 4, 1023-1041 (2021). MSC: 47A52 34B10 15A18 47H07 47H09 PDF BibTeX XML Cite \textit{W. Mei} and \textit{Q. Yang}, Front. Math. China 16, No. 4, 1023--1041 (2021; Zbl 07419615) Full Text: DOI OpenURL
Wang, Jing Non-convex \(\ell_p\) regularization for sparse reconstruction of electrical impedance tomography. (English) Zbl 1472.35369 Inverse Probl. Sci. Eng. 29, No. 7, 1032-1053 (2021). MSC: 35Q60 65N21 65N99 65R32 65J20 35B65 47A52 90C29 78A46 65K10 78M50 PDF BibTeX XML Cite \textit{J. Wang}, Inverse Probl. Sci. Eng. 29, No. 7, 1032--1053 (2021; Zbl 1472.35369) Full Text: DOI OpenURL
Goldstein, Jerome A.; Reyes, Guillermo Equipartition of energy for an illposed system with cross friction. (English) Zbl 07393805 Rocky Mt. J. Math. 51, No. 3, 855-868 (2021). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 34G10 35L05 47D03 47D06 PDF BibTeX XML Cite \textit{J. A. Goldstein} and \textit{G. Reyes}, Rocky Mt. J. Math. 51, No. 3, 855--868 (2021; Zbl 07393805) Full Text: DOI OpenURL
Fury, Matthew A. Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data. (English) Zbl 07393032 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 235-253 (2021). MSC: 47A52 47D06 PDF BibTeX XML Cite \textit{M. A. Fury}, Oper. Theory: Adv. Appl. 282, 235--253 (2021; Zbl 07393032) Full Text: DOI OpenURL
Dassios, Ioannis; Baleanu, Dumitru Optimal solutions for singular linear systems of Caputo fractional differential equations. (English) Zbl 1478.34007 Math. Methods Appl. Sci. 44, No. 10, 7884-7896 (2021). MSC: 34A08 34A30 34A09 34A12 65L08 26A33 PDF BibTeX XML Cite \textit{I. Dassios} and \textit{D. Baleanu}, Math. Methods Appl. Sci. 44, No. 10, 7884--7896 (2021; Zbl 1478.34007) Full Text: DOI Link OpenURL
Nair, M. T. Regularization of ill-posed operator equations: an overview. (English) Zbl 1468.65051 J. Anal. 29, No. 2, 519-541 (2021). MSC: 65J10 65R30 45B05 45E99 PDF BibTeX XML Cite \textit{M. T. Nair}, J. Anal. 29, No. 2, 519--541 (2021; Zbl 1468.65051) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Yang, Fan; Sun, Qiao-Xi; Li, Xiao-Xiao Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: optimal error bound analysis and regularization method. (English) Zbl 1471.35339 Math. Methods Appl. Sci. 44, No. 8, 6982-7003 (2021). MSC: 35R30 35K20 35R11 47A52 PDF BibTeX XML Cite \textit{F. Yang} et al., Math. Methods Appl. Sci. 44, No. 8, 6982--7003 (2021; Zbl 1471.35339) Full Text: DOI OpenURL
Hào, Dinh Nho; Van Duc, Nguyen; Oanh, Nguyen Thi Ngoc Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source. (English) Zbl 07379122 J. Inverse Ill-Posed Probl. 29, No. 4, 499-513 (2021). MSC: 65M32 65M30 65M12 35K58 35D30 35R25 PDF BibTeX XML Cite \textit{D. N. Hào} et al., J. Inverse Ill-Posed Probl. 29, No. 4, 499--513 (2021; Zbl 07379122) Full Text: DOI OpenURL
Tian, Wenyi; Yuan, Xiaoming; Yue, Hangrui An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations. (English) Zbl 1478.65109 Inverse Probl. 37, No. 8, Article ID 085004, 29 p. (2021). MSC: 65N21 65K10 65N30 65F08 65F10 49M41 68T07 35J60 35J30 35B65 35R30 35R25 PDF BibTeX XML Cite \textit{W. Tian} et al., Inverse Probl. 37, No. 8, Article ID 085004, 29 p. (2021; Zbl 1478.65109) Full Text: DOI arXiv OpenURL
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 07374235 Numer. Algorithms 87, No. 4, 1679-1705 (2021). MSC: 65M32 65M30 65T60 65M12 41A25 35K05 42C40 65F22 35R25 26A33 35R11 PDF BibTeX XML Cite \textit{M. Karimi} et al., Numer. Algorithms 87, No. 4, 1679--1705 (2021; Zbl 07374235) Full Text: DOI OpenURL
Roumaissa, Sassane; Nadjib, Boussetila; Faouzia, Rebbani; Abderafik, Benrabah Iterative regularization method for an abstract ill-posed generalized elliptic equation. (English) Zbl 1469.35239 Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021). MSC: 35R25 35R30 35J15 65F22 26A33 PDF BibTeX XML Cite \textit{S. Roumaissa} et al., Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021; Zbl 1469.35239) Full Text: DOI OpenURL
Zhang, Ye; Hofmann, Bernd Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems. (English) Zbl 07365409 Inverse Probl. Imaging 15, No. 2, 229-256 (2021). MSC: 47A52 65J20 65F22 65R30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{B. Hofmann}, Inverse Probl. Imaging 15, No. 2, 229--256 (2021; Zbl 07365409) Full Text: DOI arXiv OpenURL
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. (English) Zbl 1467.35350 Inverse Probl. Imaging 15, No. 2, 201-228 (2021). MSC: 35R30 35R25 45Q05 PDF BibTeX XML Cite \textit{J. Jia} et al., Inverse Probl. Imaging 15, No. 2, 201--228 (2021; Zbl 1467.35350) Full Text: DOI arXiv OpenURL
Yang, Fan; Pu, Qu; Li, Xiao-Xiao The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation. (English) Zbl 1466.35375 Numer. Algorithms 87, No. 3, 1229-1255 (2021). MSC: 35R30 35K20 35R25 47A52 65M32 35R11 PDF BibTeX XML Cite \textit{F. Yang} et al., Numer. Algorithms 87, No. 3, 1229--1255 (2021; Zbl 1466.35375) Full Text: DOI OpenURL
Tuan, Nguyen Huy On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type. (English) Zbl 1466.35362 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5465-5494 (2021). MSC: 35R11 35K20 35K70 35K92 47A52 47J06 PDF BibTeX XML Cite \textit{N. H. Tuan}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5465--5494 (2021; Zbl 1466.35362) Full Text: DOI OpenURL
Kindermann, Stefan Optimal-order convergence of Nesterov acceleration for linear ill-posed problems. (English) Zbl 07357681 Inverse Probl. 37, No. 6, Article ID 065002, 21 p. (2021). MSC: 65J10 65J20 47A52 35R30 PDF BibTeX XML Cite \textit{S. Kindermann}, Inverse Probl. 37, No. 6, Article ID 065002, 21 p. (2021; Zbl 07357681) Full Text: DOI arXiv OpenURL
Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping On a weighted time-fractional asymptotical regularization method. (English) Zbl 07354685 J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021). MSC: 47Axx 65Rxx 65Jxx 65-XX PDF BibTeX XML Cite \textit{X. Xiong} et al., J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021; Zbl 07354685) Full Text: DOI OpenURL
Nhat Luan, Tran; Quoc Khanh, Tra On the backward problem for parabolic equations with memory. (English) Zbl 1464.35404 Appl. Anal. 100, No. 7, 1414-1431 (2021). MSC: 35R25 35K20 35R09 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{T. Nhat Luan} and \textit{T. Quoc Khanh}, Appl. Anal. 100, No. 7, 1414--1431 (2021; Zbl 1464.35404) Full Text: DOI OpenURL
Deng, Xiaomao; Liao, Zi-Ju; Cai, Xiao-Chuan A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations. (English) Zbl 1471.65180 J. Comput. Appl. Math. 392, Article ID 113441, 19 p. (2021). MSC: 65N21 65N55 65K10 65J20 65Y05 49M05 49M27 49M41 65F08 65F10 35J25 93B30 PDF BibTeX XML Cite \textit{X. Deng} et al., J. Comput. Appl. Math. 392, Article ID 113441, 19 p. (2021; Zbl 1471.65180) Full Text: DOI OpenURL
Mittal, Gaurav; Giri, Ankik Kumar Iteratively regularized Landweber iteration method: convergence analysis via Hölder stability. (English) Zbl 1474.65158 Appl. Math. Comput. 392, Article ID 125744, 16 p. (2021). MSC: 65J15 65J20 47A52 47J06 PDF BibTeX XML Cite \textit{G. Mittal} and \textit{A. K. Giri}, Appl. Math. Comput. 392, Article ID 125744, 16 p. (2021; Zbl 1474.65158) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{C. Mekoth} et al., Appl. Math. Comput. 392, Article ID 125701, 26 p. (2021; Zbl 1474.47035) Full Text: DOI OpenURL
Tran Nhat Luan; Tran Thi Khieu; Tra Quoc Khanh A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations. (English) Zbl 1460.31023 Numer. Algorithms 86, No. 4, 1721-1746 (2021). MSC: 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{Tran Nhat Luan} et al., Numer. Algorithms 86, No. 4, 1721--1746 (2021; Zbl 1460.31023) Full Text: DOI OpenURL
Filippozzi, R.; Rabelo, J. C.; Boiger, R.; Leitão, A. A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations. (English) Zbl 07323241 Inverse Probl. 37, No. 4, Article ID 045005, 20 p. (2021). MSC: 65R32 65R30 65R20 PDF BibTeX XML Cite \textit{R. Filippozzi} et al., Inverse Probl. 37, No. 4, Article ID 045005, 20 p. (2021; Zbl 07323241) Full Text: DOI OpenURL
Au, Vo Van; Jafari, Hossein; Hammouch, Zakia; Tuan, Nguyen Huy On a final value problem for a nonlinear fractional pseudo-parabolic equation. (English) Zbl 1456.35114 Electron Res. Arch. 29, No. 1, 1709-1734 (2021). MSC: 35K70 35K92 35R11 35R25 47A52 47J06 PDF BibTeX XML Cite \textit{V. Van Au} et al., Electron Res. Arch. 29, No. 1, 1709--1734 (2021; Zbl 1456.35114) Full Text: DOI OpenURL
Kirsch, Andreas An introduction to the mathematical theory of inverse problems. 3rd updated edition. (English) Zbl 1456.35001 Applied Mathematical Sciences 120. Cham: Springer (ISBN 978-3-030-63342-4/hbk; 978-3-030-63345-5/pbk; 978-3-030-63343-1/ebook). xvii, 400 p. (2021). MSC: 35-02 35R30 65J20 34B24 35P25 65J10 65J15 35J05 PDF BibTeX XML Cite \textit{A. Kirsch}, An introduction to the mathematical theory of inverse problems. 3rd updated edition. Cham: Springer (2021; Zbl 1456.35001) Full Text: DOI OpenURL
Axelsson, Owe A survey of optimal control problems for PDEs. (English) Zbl 1446.65159 Dimov, Ivan (ed.) et al., Advances in high performance computing. Results of the international conference on high performance computing, Borovets, Bulgaria, September 2–6, 2019. Cham: Springer. Stud. Comput. Intell. 902, 376-390 (2021). MSC: 65N30 65N55 65N20 65K10 65F10 65F08 65Y05 49J20 49M25 15A18 PDF BibTeX XML Cite \textit{O. Axelsson}, Stud. Comput. Intell. 902, 376--390 (2021; Zbl 1446.65159) Full Text: DOI OpenURL
Kang, Chuan-gang; Zhou, Heng The extensions of convergence rates of Kaczmarz-type methods. (English) Zbl 1452.65062 J. Comput. Appl. Math. 382, Article ID 113099, 11 p. (2021). MSC: 65F10 65F08 65N22 65J20 PDF BibTeX XML Cite \textit{C.-g. Kang} and \textit{H. Zhou}, J. Comput. Appl. Math. 382, Article ID 113099, 11 p. (2021; Zbl 1452.65062) Full Text: DOI OpenURL
Yang, Fan; Zhang, Pan; Li, Xiao-Xiao; Ma, Xin-Yi Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain. (English) Zbl 1482.35269 Adv. Difference Equ. 2020, Paper No. 128, 16 p. (2020). MSC: 35R25 47A52 35R30 35R11 26A33 65M32 PDF BibTeX XML Cite \textit{F. Yang} et al., Adv. Difference Equ. 2020, Paper No. 128, 16 p. (2020; Zbl 1482.35269) Full Text: DOI OpenURL
Christiansen, Lasse Hjuler; Jørgensen, John Bagterp New preconditioners for semi-linear PDE-constrained optimal control in annular geometries. (English) Zbl 07437817 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 441-452 (2020). MSC: 65N35 65N30 65K10 65J20 65F08 65F10 49M41 49M15 93C20 35Q93 PDF BibTeX XML Cite \textit{L. H. Christiansen} and \textit{J. B. Jørgensen}, Lect. Notes Comput. Sci. Eng. 134, 441--452 (2020; Zbl 07437817) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Zalyapin, V. I.; Menikhes, L. D.; Shefer, G. A. On subspaces of an intermediate characteristic in \(C^*\). (Russian. English summary) Zbl 1470.45015 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 3, 285-292 (2020). MSC: 45L05 45A05 47A52 65R20 PDF BibTeX XML Cite \textit{V. I. Zalyapin} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 3, 285--292 (2020; Zbl 1470.45015) Full Text: DOI MNR OpenURL
Saouli, Nabil; Zouyed, Fairouz A modified Tikhonov regularization method for a class of inverse parabolic problems. (English) Zbl 07376155 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 181-2049 (2020). MSC: 35R30 47A52 35K90 35R25 PDF BibTeX XML Cite \textit{N. Saouli} and \textit{F. Zouyed}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 181--2049 (2020; Zbl 07376155) Full Text: DOI OpenURL
Gong, Rongfang; Hofmann, Bernd; Zhang, Ye A new class of accelerated regularization methods, with application to bioluminescence tomography. (English) Zbl 07371378 Inverse Probl. 36, No. 5, Article ID 055013, 36 p. (2020). MSC: 65Jxx 65Nxx 92Cxx 90Cxx 47Axx PDF BibTeX XML Cite \textit{R. Gong} et al., Inverse Probl. 36, No. 5, Article ID 055013, 36 p. (2020; Zbl 07371378) Full Text: DOI arXiv OpenURL
Jia, Zhongxiao The low rank approximations and Ritz values in LSQR for linear discrete ill-posed problem. (English) Zbl 07371359 Inverse Probl. 36, No. 4, Article ID 045013, 31 p. (2020). MSC: 65Fxx 65Jxx 65Rxx 65-XX 35Rxx PDF BibTeX XML Cite \textit{Z. Jia}, Inverse Probl. 36, No. 4, Article ID 045013, 31 p. (2020; Zbl 07371359) Full Text: DOI arXiv OpenURL
Bredies, Kristian; Fanzon, Silvio An optimal transport approach for solving dynamic inverse problems in spaces of measures. (English) Zbl 07357930 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2351-2382 (2020). MSC: 65J20 49J20 35F05 46G12 92C55 PDF BibTeX XML Cite \textit{K. Bredies} and \textit{S. Fanzon}, ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2351--2382 (2020; Zbl 07357930) Full Text: DOI arXiv Link OpenURL
Yang, Fan; Fu, Jun-Liang; Li, Xiao-Xiao A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method. (English) Zbl 1475.65113 Inverse Probl. Sci. Eng. 28, No. 9, 1209-1252 (2020). MSC: 65M32 65M30 65M15 65M12 65F22 65F10 35Q41 35R30 35R25 PDF BibTeX XML Cite \textit{F. Yang} et al., Inverse Probl. Sci. Eng. 28, No. 9, 1209--1252 (2020; Zbl 1475.65113) Full Text: DOI OpenURL
Machado, M. P.; Margotti, F.; Leitão, A. On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces. (English) Zbl 1475.65109 Inverse Probl. Sci. Eng. 28, No. 6, 796-826 (2020). MSC: 65M32 65M30 65J20 65J10 65K10 65M12 35J25 35R30 PDF BibTeX XML Cite \textit{M. P. Machado} et al., Inverse Probl. Sci. Eng. 28, No. 6, 796--826 (2020; Zbl 1475.65109) Full Text: DOI OpenURL
Li, Zhiyuan; Cheng, Xing; Liu, Yikan Generic well-posedness for an inverse source problem for a multi-term time-fractional diffusion equation. (English) Zbl 1461.35236 Taiwanese J. Math. 24, No. 4, 1005-1020 (2020). MSC: 35R30 35R25 35R11 35K15 47A55 PDF BibTeX XML Cite \textit{Z. Li} et al., Taiwanese J. Math. 24, No. 4, 1005--1020 (2020; Zbl 1461.35236) Full Text: DOI Euclid OpenURL
Romanov, Vladimir G. Regularization of a continuation problem for electrodynamic equations. (English) Zbl 1469.35197 J. Inverse Ill-Posed Probl. 28, No. 5, 751-760 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 78A25 35B65 35F45 35L40 35R25 PDF BibTeX XML Cite \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 28, No. 5, 751--760 (2020; Zbl 1469.35197) Full Text: DOI OpenURL
Guo, Yao; Fu, Min; Wang, Jinping Convergence analysis of the loping OS-EM algorithm for noisy data. (English) Zbl 1466.65228 Complex Var. Elliptic Equ. 65, No. 11, 1871-1881 (2020). MSC: 65R30 65F22 PDF BibTeX XML Cite \textit{Y. Guo} et al., Complex Var. Elliptic Equ. 65, No. 11, 1871--1881 (2020; Zbl 1466.65228) Full Text: DOI OpenURL
Zouyed, Fairouz; Debbouche, Souheyla An iterative regularization method for a class of inverse boundary value problems of elliptic type. (English) Zbl 1460.35113 J. Math. Phys. Anal. Geom. 16, No. 1, 66-85 (2020). MSC: 35J25 47A52 65M32 PDF BibTeX XML Cite \textit{F. Zouyed} and \textit{S. Debbouche}, J. Math. Phys. Anal. Geom. 16, No. 1, 66--85 (2020; Zbl 1460.35113) Full Text: DOI OpenURL
Kristensson, Gerhard; Stratis, Ioannis G.; Wellander, Niklas; Yannacopoulos, Athanasios N. The exterior Calderón operator for non-spherical objects. (English) Zbl 1455.35253 SN Partial Differ. Equ. Appl. 1, No. 1, Paper No. 6, 32 p. (2020). MSC: 35Q61 35B65 35R09 45A05 45P05 78A45 65J20 PDF BibTeX XML Cite \textit{G. Kristensson} et al., SN Partial Differ. Equ. Appl. 1, No. 1, Paper No. 6, 32 p. (2020; Zbl 1455.35253) Full Text: DOI OpenURL
Richter, Mathias Inverse problems. Basics, theory and applications in geophysics. 2nd updated edition. (English) Zbl 1453.65002 Lecture Notes in Geosystems Mathematics and Computing. Cham: Springer (ISBN 978-3-030-59316-2/pbk; 978-3-030-59317-9/ebook). xiv, 273 p. (2020). MSC: 65-01 65J22 65F22 65J20 47A52 47J06 86A22 PDF BibTeX XML Cite \textit{M. Richter}, Inverse problems. Basics, theory and applications in geophysics. 2nd updated edition. Cham: Springer (2020; Zbl 1453.65002) Full Text: DOI OpenURL
Borisova, E. A. On a regularization method for solutions of a certain linear ill-posed problem. (English. Russian original) Zbl 07253554 J. Math. Sci., New York 248, No. 4, 382-384 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 10-12 (2018). MSC: 47S99 PDF BibTeX XML Cite \textit{E. A. Borisova}, J. Math. Sci., New York 248, No. 4, 382--384 (2020; Zbl 07253554); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 148, 10--12 (2018) Full Text: DOI OpenURL
Fury, Matthew A. Ill-posed problems associated with sectorial operators in Banach space. (English) Zbl 07248309 J. Math. Anal. Appl. 492, No. 2, Article ID 124484, 25 p. (2020). MSC: 47A52 47J06 47D06 47B12 PDF BibTeX XML Cite \textit{M. A. Fury}, J. Math. Anal. Appl. 492, No. 2, Article ID 124484, 25 p. (2020; Zbl 07248309) Full Text: DOI OpenURL
Uskov, V. I. Boundary layer phenomenon for a first order descriptor equation with small parameter on the right-hand side. (English. Russian original) Zbl 1454.34088 J. Math. Sci., New York 250, No. 1, 175-181 (2020); translation from Probl. Mat. Anal. 104, 157-162 (2020). Reviewer: Luong Vu Trong (Hanoi) MSC: 34G10 34A09 34E10 47A52 PDF BibTeX XML Cite \textit{V. I. Uskov}, J. Math. Sci., New York 250, No. 1, 175--181 (2020; Zbl 1454.34088); translation from Probl. Mat. Anal. 104, 157--162 (2020) Full Text: DOI OpenURL
Koshev, Nikolay; Yavich, Nikolay; Malovichko, Mikhail; Skidchenko, Ekaterina; Fedorov, Maxim FEM-based scalp-to-cortex EEG data mapping via the solution of the Cauchy problem. (English) Zbl 1446.65147 J. Inverse Ill-Posed Probl. 28, No. 4, 517-532 (2020). MSC: 65N20 65N30 65F10 35R25 35J05 35J99 31B05 31B20 92C55 35Q92 78A70 PDF BibTeX XML Cite \textit{N. Koshev} et al., J. Inverse Ill-Posed Probl. 28, No. 4, 517--532 (2020; Zbl 1446.65147) Full Text: DOI arXiv OpenURL
Grasmair, Markus Source conditions for non-quadratic Tikhonov regularization. (English) Zbl 07241792 Numer. Funct. Anal. Optim. 41, No. 11, 1352-1372 (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65J20 47N10 PDF BibTeX XML Cite \textit{M. Grasmair}, Numer. Funct. Anal. Optim. 41, No. 11, 1352--1372 (2020; Zbl 07241792) Full Text: DOI arXiv OpenURL
Aspri, A.; Banert, S.; Öktem, O.; Scherzer, O. A data-driven iteratively regularized Landweber iteration. (English) Zbl 07241785 Numer. Funct. Anal. Optim. 41, No. 10, 1190-1227 (2020). MSC: 65J20 65J10 65J15 65J22 PDF BibTeX XML Cite \textit{A. Aspri} et al., Numer. Funct. Anal. Optim. 41, No. 10, 1190--1227 (2020; Zbl 07241785) Full Text: DOI arXiv OpenURL
Tuan, Nguyen Huy; Tuan, Nguyen Hoang; Baleanu, Dumitru; Thach, Tran Ngoc On a backward problem for fractional diffusion equation with Riemann-Liouville derivative. (English) Zbl 1445.35318 Math. Methods Appl. Sci. 43, No. 3, 1292-1312 (2020). MSC: 35R25 35R11 35K15 35R60 47A52 62G08 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Math. Methods Appl. Sci. 43, No. 3, 1292--1312 (2020; Zbl 1445.35318) Full Text: DOI OpenURL
Stepanyantz, K. V. The higher covariant derivative regularization as a tool for revealing the structure of quantum corrections in supersymmetric gauge theories. (English. Russian original) Zbl 1445.81058 Proc. Steklov Inst. Math. 309, 284-298 (2020); translation from Tr. Mat. Inst. Steklova 309, 304-319 (2020). MSC: 81T60 81T13 81R20 47A52 33D05 81T15 81T18 PDF BibTeX XML Cite \textit{K. V. Stepanyantz}, Proc. Steklov Inst. Math. 309, 284--298 (2020; Zbl 1445.81058); translation from Tr. Mat. Inst. Steklova 309, 304--319 (2020) Full Text: DOI arXiv OpenURL
Hapuarachchi, Sujeewa; Xu, Yongzhi S. Regularized solution for backward heat equation in Sobolev space. (English) Zbl 1445.35315 Math. Methods Appl. Sci. 43, No. 1, 213-224 (2020). MSC: 35R25 35K05 35K15 47A52 PDF BibTeX XML Cite \textit{S. Hapuarachchi} and \textit{Y. S. Xu}, Math. Methods Appl. Sci. 43, No. 1, 213--224 (2020; Zbl 1445.35315) Full Text: DOI OpenURL
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd On the singular value decomposition of \(n\)-fold integration operators. (English) Zbl 07224831 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, 237-256 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47A52 65L08 PDF BibTeX XML Cite \textit{R. Ramlau} et al., Springer Proc. Math. Stat. 310, 237--256 (2020; Zbl 07224831) Full Text: DOI arXiv OpenURL
Gerth, Daniel; Hofmann, Bernd; Hofmann, Christopher Case studies and a pitfall for nonlinear variational regularization under conditional stability. (English) Zbl 1443.65080 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, 177-203 (2020). MSC: 65J20 65J15 65J10 65J22 35R30 PDF BibTeX XML Cite \textit{D. Gerth} et al., Springer Proc. Math. Stat. 310, 177--203 (2020; Zbl 1443.65080) Full Text: DOI arXiv OpenURL
Slimani, S.; Medarhri, I.; Najib, K.; Zine, A. Identification of the source function for a seawater intrusion problem in unconfined aquifer. (English) Zbl 1453.65292 Numer. Algorithms 84, No. 4, 1565-1587 (2020). MSC: 65M32 65M30 65M60 65M22 65M12 76S05 35R35 76M10 86A05 86A22 65J20 65F22 PDF BibTeX XML Cite \textit{S. Slimani} et al., Numer. Algorithms 84, No. 4, 1565--1587 (2020; Zbl 1453.65292) Full Text: DOI OpenURL
Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. (English) Zbl 1483.65069 Numer. Algorithms 84, No. 4, 1535-1563 (2020). MSC: 65F99 65F22 15A24 15A69 65F45 PDF BibTeX XML Cite \textit{F. P. A. Beik} et al., Numer. Algorithms 84, No. 4, 1535--1563 (2020; Zbl 1483.65069) Full Text: DOI OpenURL
Bao, Gang; Triki, Faouzi Stability for the multifrequency inverse medium problem. (English) Zbl 1443.35180 J. Differ. Equations 269, No. 9, 7106-7128 (2020). MSC: 35R30 35J05 35L10 47A52 65J22 35Q74 74B05 74J25 PDF BibTeX XML Cite \textit{G. Bao} and \textit{F. Triki}, J. Differ. Equations 269, No. 9, 7106--7128 (2020; Zbl 1443.35180) Full Text: DOI arXiv OpenURL
Tuan, Nguyen Huy; Nane, Erkan; O’regan, Donal; Phuong, Nguyen Duc Approximation of mild solutions of a semilinear fractional differential equation with random noise. (English) Zbl 1443.35176 Proc. Am. Math. Soc. 148, No. 8, 3339-3357 (2020). MSC: 35R11 65J20 35R30 45A05 65J08 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Proc. Am. Math. Soc. 148, No. 8, 3339--3357 (2020; Zbl 1443.35176) Full Text: DOI OpenURL
Fayazov, Kudratillo Sadridinovich; Khudaĭberganov, Yashin Kamilovich Ill-posed boundary value problem for mixed type system equations with two degenerate lines. (Russian. English summary) Zbl 1444.35160 Sib. Èlektron. Mat. Izv. 17, 647-660 (2020). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35R25 47A52 35C10 PDF BibTeX XML Cite \textit{K. S. Fayazov} and \textit{Y. K. Khudaĭberganov}, Sib. Èlektron. Mat. Izv. 17, 647--660 (2020; Zbl 1444.35160) Full Text: DOI OpenURL
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. Tikhonov regularization within ensemble Kalman inversion. (English) Zbl 1447.35337 SIAM J. Numer. Anal. 58, No. 2, 1263-1294 (2020). MSC: 35Q93 58E25 65F22 65M32 65M30 65K10 65J20 62F15 93C20 PDF BibTeX XML Cite \textit{N. K. Chada} et al., SIAM J. Numer. Anal. 58, No. 2, 1263--1294 (2020; Zbl 1447.35337) Full Text: DOI arXiv OpenURL
Garrigos, Guillaume; Rosasco, Lorenzo; Villa, Silvia Thresholding gradient methods in Hilbert spaces: support identification and linear convergence. (English) Zbl 07198291 ESAIM, Control Optim. Calc. Var. 26, Paper No. 28, 20 p. (2020). MSC: 65J10 65J15 65J20 65J22 65K15 90C25 90C46 PDF BibTeX XML Cite \textit{G. Garrigos} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 28, 20 p. (2020; Zbl 07198291) 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
Najafi-Kalyani, Mehdi; Beik, Fatemeh Panjeh Ali; Jbilou, Khalide On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations. (English) Zbl 1437.65026 J. Comput. Appl. Math. 373, Article ID 112216, 19 p. (2020). MSC: 65F45 65F22 15A09 15A24 15A69 PDF BibTeX XML Cite \textit{M. Najafi-Kalyani} et al., J. Comput. Appl. Math. 373, Article ID 112216, 19 p. (2020; Zbl 1437.65026) Full Text: DOI OpenURL
Schwab, Johannes; Antholzer, Stephan; Haltmeier, Markus Big in Japan: regularizing networks for solving inverse problems. (English) Zbl 1434.68525 J. Math. Imaging Vis. 62, No. 3, 445-455 (2020). MSC: 68T07 45F05 65J20 65J22 PDF BibTeX XML Cite \textit{J. Schwab} et al., J. Math. Imaging Vis. 62, No. 3, 445--455 (2020; Zbl 1434.68525) Full Text: DOI arXiv OpenURL
Zhang, Y.; Hofmann, B. On the second-order asymptotical regularization of linear ill-posed inverse problems. (English) Zbl 1443.47014 Appl. Anal. 99, No. 6, 1000-1025 (2020). MSC: 47A52 65J20 65F22 65R30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{B. Hofmann}, Appl. Anal. 99, No. 6, 1000--1025 (2020; Zbl 1443.47014) Full Text: DOI arXiv OpenURL
Mahale, Pallavi; Dixit, Sharad Kumar Simplified iteratively regularized Gauss-Newton method in Banach spaces under a general source condition. (English) Zbl 1444.47067 Comput. Methods Appl. Math. 20, No. 2, 321-341 (2020). Reviewer: Bangti Jin (London) MSC: 47J06 65J20 65F22 65J15 PDF BibTeX XML Cite \textit{P. Mahale} and \textit{S. K. Dixit}, Comput. Methods Appl. Math. 20, No. 2, 321--341 (2020; Zbl 1444.47067) 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
Zhang, Ye; Gong, Rongfang Second order asymptotical regularization methods for inverse problems in partial differential equations. (English) Zbl 1435.65189 J. Comput. Appl. Math. 375, Article ID 112798, 22 p. (2020). MSC: 65N21 65N20 65N30 65F22 65N12 65P10 65B99 35J15 35R30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{R. Gong}, J. Comput. Appl. Math. 375, Article ID 112798, 22 p. (2020; Zbl 1435.65189) Full Text: DOI arXiv OpenURL
Jana, Ajoy; Nair, M. Thamban A truncated spectral regularization method for a source identification problem. (English) Zbl 1439.35302 J. Anal. 28, No. 1, 279-293 (2020). MSC: 35K90 47D06 47A52 65F22 PDF BibTeX XML Cite \textit{A. Jana} and \textit{M. T. Nair}, J. Anal. 28, No. 1, 279--293 (2020; Zbl 1439.35302) Full Text: DOI OpenURL