Pfefferer, Johannes; Vexler, Boris Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. arXiv:2401.02399 Preprint, arXiv:2401.02399 [math.NA] (2024). MSC: 35J05 49J20 49M25 65N15 65M30 BibTeX Cite \textit{J. Pfefferer} and \textit{B. Vexler}, ``Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains'', Preprint, arXiv:2401.02399 [math.NA] (2024) Full Text: arXiv OA License
Ben Belgacem, F.; Jelassi, F.; Girault, V. Uniqueness’ failure for the finite element Cauchy-Poisson’s problem. (English) Zbl 07667336 Comput. Math. Appl. 135, 77-92 (2023). MSC: 65-XX 35R30 35J25 35R25 65N30 65F10 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., Comput. Math. Appl. 135, 77--92 (2023; Zbl 07667336) Full Text: DOI
Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar An Arnoldi-based preconditioner for iterated Tikhonov regularization. (English) Zbl 1507.65081 Numer. Algorithms 92, No. 1, 223-245 (2023). MSC: 65F22 65F08 65F10 65K05 90C06 PDFBibTeX XMLCite \textit{A. Buccini} et al., Numer. Algorithms 92, No. 1, 223--245 (2023; Zbl 1507.65081) Full Text: DOI
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems. (English) Zbl 1502.65016 J. Comput. Appl. Math. 423, Article ID 114940, 13 p. (2023). MSC: 65F22 65F10 65F08 PDFBibTeX XMLCite \textit{A. Buccini} et al., J. Comput. Appl. Math. 423, Article ID 114940, 13 p. (2023; Zbl 1502.65016) Full Text: DOI
Jiang, Yi; Liu, Jun Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. (English) Zbl 1510.65229 Appl. Numer. Math. 184, 325-339 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M32 65M06 65N06 65T50 65F50 65F05 60H50 35K05 35Q79 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{J. Liu}, Appl. Numer. Math. 184, 325--339 (2023; Zbl 1510.65229) Full Text: DOI arXiv
Brunswic, Leo Maxime; Li, Yinchuan; Xu, Yushun; Jui, Shangling; Ma, Lizhuang A Theory of Non-Acyclic Generative Flow Networks. arXiv:2312.15246 Preprint, arXiv:2312.15246 [cs.LG] (2023). MSC: 68T07 68T20 60J05 60J20 60J22 65F45 65J20 68T05 68T20 BibTeX Cite \textit{L. M. Brunswic} et al., ``A Theory of Non-Acyclic Generative Flow Networks'', Preprint, arXiv:2312.15246 [cs.LG] (2023) Full Text: arXiv OA License
Zhang, Hongwu; Lv, Yong Iteration regularization method for a sideways problem of time-fractional diffusion equation. (English) Zbl 1503.65280 Numer. Algorithms 91, No. 3, 1145-1163 (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N20 65N21 65T50 65N12 65N15 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Y. Lv}, Numer. Algorithms 91, No. 3, 1145--1163 (2022; Zbl 1503.65280) Full Text: DOI
Nanfuka, Mary; Berntsson, Fredrik; Kakuba, Godwin Solving a Cauchy problem for the heat equation using cubic smoothing splines. (English) Zbl 1497.65152 Appl. Anal. 101, No. 14, 4882-4897 (2022). MSC: 65M32 65M30 65J20 65L06 65T50 65D07 65F35 65M12 35K05 35R30 35R25 PDFBibTeX XMLCite \textit{M. Nanfuka} et al., Appl. Anal. 101, No. 14, 4882--4897 (2022; Zbl 1497.65152) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. (English) Zbl 1497.65071 J. Comput. Appl. Math. 415, Article ID 114488, 21 p. (2022). MSC: 65F22 15A69 65D18 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, J. Comput. Appl. Math. 415, Article ID 114488, 21 p. (2022; Zbl 1497.65071) Full Text: DOI arXiv
Bodaghi, S.; Zakeri, A.; Amiraslani, A.; Shayegan, A. H. Salehi Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem. (English) Zbl 1502.65094 Numer. Algorithms 90, No. 4, 1569-1592 (2022). MSC: 65M32 65M30 65M12 35K05 80A22 80A23 35R25 35Q79 PDFBibTeX XMLCite \textit{S. Bodaghi} et al., Numer. Algorithms 90, No. 4, 1569--1592 (2022; Zbl 1502.65094) Full Text: DOI
Soodhalter, Kirk M. A note on augmented unprojected Krylov subspace methods. (English) Zbl 1491.65028 ETNA, Electron. Trans. Numer. Anal. 55, 532-546 (2022). MSC: 65F10 65F50 65F08 PDFBibTeX XMLCite \textit{K. M. Soodhalter}, ETNA, Electron. Trans. Numer. Anal. 55, 532--546 (2022; Zbl 1491.65028) Full Text: DOI arXiv Link
Khieu, Tran Thi; Vo, Hoang-Hung Stability results for backward nonlinear diffusion equations with temporal coupling operator of local and nonlocal type. (English) Zbl 1498.65148 SIAM J. Numer. Anal. 60, No. 4, 1665-1700 (2022). Reviewer: Christian Clason (Graz) MSC: 65M30 65M32 65T50 65M06 65N06 60J65 47J06 35R25 35R30 26A33 35R11 92D25 PDFBibTeX XMLCite \textit{T. T. Khieu} and \textit{H.-H. Vo}, SIAM J. Numer. Anal. 60, No. 4, 1665--1700 (2022; Zbl 1498.65148) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. (English) Zbl 07511593 Numer. Linear Algebra Appl. 29, No. 1, e2412, 34 p. (2022). MSC: 65F22 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, Numer. Linear Algebra Appl. 29, No. 1, e2412, 34 p. (2022; Zbl 07511593) Full Text: DOI
Khieu, Tran Thi; Khanh, Tra Quoc Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type. (English) Zbl 1486.65153 Numer. Algorithms 89, No. 4, 1743-1767 (2022). MSC: 65M32 65M30 65M06 65N21 65N20 65T50 60J70 35R30 35R25 47J06 26A33 35R11 PDFBibTeX XMLCite \textit{T. T. Khieu} and \textit{T. Q. Khanh}, Numer. Algorithms 89, No. 4, 1743--1767 (2022; Zbl 1486.65153) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Huang} et al., J. Comput. Appl. Math. 405, Article ID 113969, 10 p. (2022; Zbl 1480.65093) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. (English) Zbl 1481.65060 J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022). MSC: 65F22 65F10 15A69 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022; Zbl 1481.65060) Full Text: DOI arXiv
Beinert, Robert; Quellmalz, Michael Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object. arXiv:2210.03495 Preprint, arXiv:2210.03495 [math.NA] (2022). MSC: 42B05 47J06 65T50 92C55 BibTeX Cite \textit{R. Beinert} and \textit{M. Quellmalz}, ``Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object'', Preprint, arXiv:2210.03495 [math.NA] (2022) Full Text: arXiv OA License
Umbricht, Guillermo Federico Identification of the source for full parabolic equations. (English) Zbl 1486.35475 Math. Model. Anal. 26, No. 3, 339-357 (2021). MSC: 35R30 35R25 35K20 47A52 58J35 65T50 PDFBibTeX XMLCite \textit{G. F. Umbricht}, Math. Model. Anal. 26, No. 3, 339--357 (2021; Zbl 1486.35475) Full Text: DOI
Kadchenko, S. I.; Stavtseva, A. V.; Ryazanova, L. S. Numerical methods for solving spectral problems on quantum graphs. (English) Zbl 1499.65628 J. Comput. Eng. Math. 8, No. 3, 49-70 (2021). MSC: 65N21 65N25 65N30 45B05 35R25 35R02 82D80 81V55 65J20 65R30 PDFBibTeX XMLCite \textit{S. I. Kadchenko} et al., J. Comput. Eng. Math. 8, No. 3, 49--70 (2021; Zbl 1499.65628) Full Text: DOI MNR
Alqahtani, Abdulaziz; Gazzola, Silvia; Reichel, Lothar; Rodriguez, Giuseppe On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems. (English) Zbl 07478608 Numer. Linear Algebra Appl. 28, No. 5, e2376, 22 p. (2021). MSC: 65F22 65F10 65F35 PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Numer. Linear Algebra Appl. 28, No. 5, e2376, 22 p. (2021; Zbl 07478608) Full Text: DOI
Maksimov, V. I. Reconstruction of an unbounded input of a system of differential equations. (English. Russian original) Zbl 1481.65110 Proc. Steklov Inst. Math. 315, 149-160 (2021); translation from Tr. Mat. Inst. Steklova 315, 160-171 (2021). MSC: 65L09 65L08 49M25 PDFBibTeX XMLCite \textit{V. I. Maksimov}, Proc. Steklov Inst. Math. 315, 149--160 (2021; Zbl 1481.65110); translation from Tr. Mat. Inst. Steklova 315, 160--171 (2021) Full Text: DOI
Bai, Xianglan; Buccini, Alessandro; Reichel, Lothar Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066 BIT 61, No. 4, 1093-1114 (2021). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{X. Bai} et al., BIT 61, No. 4, 1093--1114 (2021; Zbl 1490.65066) Full Text: DOI
Wang, Fengxia; Xiong, Xiangtuan Quasi-boundary value regularization method for inhomogeneous sideways heat equation. (Chinese. English summary) Zbl 1488.65375 J. Shandong Univ., Nat. Sci. 56, No. 6, 74-80, 102 (2021). MSC: 65M30 65M15 65T50 65M12 35K05 PDFBibTeX XMLCite \textit{F. Wang} and \textit{X. Xiong}, J. Shandong Univ., Nat. Sci. 56, No. 6, 74--80, 102 (2021; Zbl 1488.65375)
Luan, Tran Nhat; Khanh, Tra Quoc Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity. (English) Zbl 1481.65175 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3461-3487 (2021). MSC: 65M30 65M06 65N06 65T50 35R25 47J06 26A33 35R11 PDFBibTeX XMLCite \textit{T. N. Luan} and \textit{T. Q. Khanh}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3461--3487 (2021; Zbl 1481.65175) Full Text: DOI
Hu, Dongdong; Gong, Yuezheng; Wang, Yushun On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation. (English) Zbl 1524.65352 Comput. Math. Appl. 98, 10-23 (2021). MSC: 65M06 35R11 35Q55 65M15 65M12 26A33 35Q41 65N06 15B05 65T50 65N20 65F08 65F10 PDFBibTeX XMLCite \textit{D. Hu} et al., Comput. Math. Appl. 98, 10--23 (2021; Zbl 1524.65352) Full Text: DOI
Tuan, Nguyen Huy; Thach, Tran Ngoc; Can, Nguyen Huu; O’Regan, Donal Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data. (English) Zbl 1470.35415 Math. Methods Appl. Sci. 44, No. 4, 2879-2891 (2021). MSC: 35R11 35K20 47J06 47H10 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Math. Methods Appl. Sci. 44, No. 4, 2879--2891 (2021; Zbl 1470.35415) Full Text: DOI
Kadchenko, Sergeĭ Ivanovich; Ryazanova, Lyubov’ Sergeevna; Dzhiganchina, Yuliya Rustamovna Algorithm for numerical solution of inverse spectral problems generated by Sturm-Liouville operators of an arbitrary even order. (English) Zbl 07362761 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 2, 52-63 (2021). MSC: 47A10 PDFBibTeX XMLCite \textit{S. I. Kadchenko} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 2, 52--63 (2021; Zbl 07362761) Full Text: DOI MNR
Bodaghi, Soheila; Zakeri, Ali; Amiraslani, Amir Regularization of a nonlinear inverse problem by discrete mollification method. (English) Zbl 1474.35687 Comput. Methods Differ. Equ. 9, No. 1, 313-326 (2021). MSC: 35R25 35R30 65M12 PDFBibTeX XMLCite \textit{S. Bodaghi} et al., Comput. Methods Differ. Equ. 9, No. 1, 313--326 (2021; Zbl 1474.35687) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. (English) Zbl 1465.65035 Appl. Numer. Math. 166, 186-207 (2021). MSC: 65F22 15A69 94A08 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, Appl. Numer. Math. 166, 186--207 (2021; Zbl 1465.65035) Full Text: DOI
Jin, Bangti; Zhou, Zhi Numerical estimation of a diffusion coefficient in subdiffusion. (English) Zbl 1468.65127 SIAM J. Control Optim. 59, No. 2, 1466-1496 (2021). MSC: 65M32 65M60 65M06 65M12 65M15 65J20 65K10 49M25 35R30 35R11 PDFBibTeX XMLCite \textit{B. Jin} and \textit{Z. Zhou}, SIAM J. Control Optim. 59, No. 2, 1466--1496 (2021; Zbl 1468.65127) Full Text: DOI arXiv
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar; Zhang, Wei-Hong A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. (English) Zbl 07332764 Numer. Linear Algebra Appl. 28, No. 2, e2353, 21 p. (2021). MSC: 65F08 65F22 94A08 PDFBibTeX XMLCite \textit{A. Buccini} et al., Numer. Linear Algebra Appl. 28, No. 2, e2353, 21 p. (2021; Zbl 07332764) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 1475.35432) Full Text: DOI arXiv
Bai, Xianglan; Huang, Guang-Xin; Lei, Xiao-Jun; Reichel, Lothar; Yin, Feng A novel modified TRSVD method for large-scale linear discrete ill-posed problems. (English) Zbl 1460.65041 Appl. Numer. Math. 164, 72-88 (2021). MSC: 65F22 15A23 PDFBibTeX XMLCite \textit{X. Bai} et al., Appl. Numer. Math. 164, 72--88 (2021; Zbl 1460.65041) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Axelsson}, Stud. Comput. Intell. 902, 376--390 (2021; Zbl 1446.65159) Full Text: DOI
Umbricht, Guillermo Federico Identification of the Source for Full Parabolic Equations. arXiv:2111.09819 Preprint, arXiv:2111.09819 [math.NA] (2021). MSC: 35R30 35R25 47A52 58J35 65T50 BibTeX Cite \textit{G. F. Umbricht}, ``Identification of the Source for Full Parabolic Equations'', Preprint, arXiv:2111.09819 [math.NA] (2021) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{S. Bodaghi} et al., Inverse Probl. Sci. Eng. 28, No. 11, 1528--1550 (2020; Zbl 1475.65103) Full Text: DOI
Carasso, Alfred S. Computing ill-posed time-reversed 2D Navier-Stokes equations, using a stabilized explicit finite difference scheme marching backward in time. (English) Zbl 1475.65102 Inverse Probl. Sci. Eng. 28, No. 7, 988-1010 (2020). MSC: 65M30 65M32 65M06 65T50 65M55 65M12 76D05 35Q30 35R25 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 28, No. 7, 988--1010 (2020; Zbl 1475.65102) Full Text: DOI
Kadchenko, S. I.; Pursheva, A. V.; Ryazanova, L. S. Solution of inverse spectral problems for discrete semi-bounded operators given on geometric graphs. (Russian. English summary) Zbl 07312378 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 13, No. 4, 19-32 (2020). MSC: 65J22 PDFBibTeX XMLCite \textit{S. I. Kadchenko} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 13, No. 4, 19--32 (2020; Zbl 07312378) Full Text: DOI MNR
Doumic, Marie; Olivier, Adélaïde; Robert, Lydia Estimating the division rate from indirect measurements of single cells. (English) Zbl 1452.35218 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3931-3961 (2020). MSC: 35Q92 35R30 35R25 92C37 35Q62 62G30 45Q05 65T50 65M08 35P15 PDFBibTeX XMLCite \textit{M. Doumic} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3931--3961 (2020; Zbl 1452.35218) Full Text: DOI arXiv
Liu, Rongrong; Wang, Zhengsheng; Liu, Fengming; Xu, Guili Modulus-based iterative method for constrained fractional Tikhonov regularization. (Chinese. English summary) Zbl 1463.65083 Numer. Math., Nanjing 42, No. 1, 72-86 (2020). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{R. Liu} et al., Numer. Math., Nanjing 42, No. 1, 72--86 (2020; Zbl 1463.65083)
Xiong, Xiangtuan; Bai, Enpeng An optimal filtering method for the sideways fractional heat equation. (Chinese. English summary) Zbl 1463.65351 J. Northwest Norm. Univ., Nat. Sci. 56, No. 3, 14-16, 47 (2020). MSC: 65N20 65N15 65T50 35R11 35K05 35B65 PDFBibTeX XMLCite \textit{X. Xiong} and \textit{E. Bai}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 3, 14--16, 47 (2020; Zbl 1463.65351) Full Text: DOI
Mueller, J. L.; Siltanen, Samuli The D-bar method for electrical impedance tomography – demystified. (English) Zbl 1453.78007 Inverse Probl. 36, No. 9, Article ID 093001, 28 p. (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78A45 78A05 78M20 65N21 65N20 65N06 65N80 65J20 65T50 92C55 35R09 35R30 35Q60 PDFBibTeX XMLCite \textit{J. L. Mueller} and \textit{S. Siltanen}, Inverse Probl. 36, No. 9, Article ID 093001, 28 p. (2020; Zbl 1453.78007) Full Text: DOI Link
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel Numerical analysis of sparse initial data identification for parabolic problems. (English) Zbl 1446.65114 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1139-1180 (2020). MSC: 65M60 65N30 65N15 49K20 49M25 35B65 35R06 35R25 65M30 35K10 PDFBibTeX XMLCite \textit{D. Leykekhman} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1139--1180 (2020; Zbl 1446.65114) Full Text: DOI arXiv
Jia, Zhongxiao Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value case and best, near best and general low rank approximations. (English) Zbl 1452.65075 Inverse Probl. 36, No. 8, Article ID 085009, 38 p. (2020). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Inverse Probl. 36, No. 8, Article ID 085009, 38 p. (2020; Zbl 1452.65075) Full Text: DOI arXiv
Jia, Zhongxiao; Yang, Yanfei A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. (English) Zbl 1452.65076 Appl. Numer. Math. 157, 159-177 (2020). MSC: 65F22 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI arXiv
Bisiacco, Mauro; Pillonetto, Gianluigi Kernel absolute summability is sufficient but not necessary for RKHS stability. (English) Zbl 1445.47056 SIAM J. Control Optim. 58, No. 4, 2006-2022 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 47N70 93B30 93E12 46E22 47A52 65F22 PDFBibTeX XMLCite \textit{M. Bisiacco} and \textit{G. Pillonetto}, SIAM J. Control Optim. 58, No. 4, 2006--2022 (2020; Zbl 1445.47056) Full Text: DOI arXiv
Reichel, Lothar; Sadok, Hassane; Zhang, Wei-Hong Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. (English) Zbl 1462.65040 Numer. Algorithms 84, No. 4, 1381-1395 (2020). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{L. Reichel} et al., Numer. Algorithms 84, No. 4, 1381--1395 (2020; Zbl 1462.65040) Full Text: DOI
Tuan, Nguyen Huy; Thach, Tran Ngoc; Zhou, Yong On a backward problem for two-dimensional time fractional wave equation with discrete random data. (English) Zbl 1444.35156 Evol. Equ. Control Theory 9, No. 2, 561-579 (2020). MSC: 35R11 65M30 35K05 35R30 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Evol. Equ. Control Theory 9, No. 2, 561--579 (2020; Zbl 1444.35156) Full Text: DOI
Thach, Tran Ngoc; Tuan, Nguyen Huy; O’Regan, Donal Regularized solution for a biharmonic equation with discrete data. (English) Zbl 1439.65135 Evol. Equ. Control Theory 9, No. 2, 341-358 (2020). MSC: 65N20 35J40 65N12 PDFBibTeX XMLCite \textit{T. N. Thach} et al., Evol. Equ. Control Theory 9, No. 2, 341--358 (2020; Zbl 1439.65135) Full Text: DOI
Liu, Xiaoman; Liu, Jijun Image restoration from noisy incomplete frequency data by alternative iteration scheme. (English) Zbl 1447.65117 Inverse Probl. Imaging 14, No. 4, 583-606 (2020). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65N20 68U10 65N21 65T50 65K10 35Q31 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Liu}, Inverse Probl. Imaging 14, No. 4, 583--606 (2020; Zbl 1447.65117) Full Text: DOI
Çetin, Umut Linear inverse problems for Markov processes and their regularisation. (English) Zbl 1444.62110 Stochastic Processes Appl. 130, No. 7, 4062-4080 (2020). MSC: 62M15 62M10 65J20 60J27 60J76 PDFBibTeX XMLCite \textit{U. Çetin}, Stochastic Processes Appl. 130, No. 7, 4062--4080 (2020; Zbl 1444.62110) Full Text: DOI arXiv Link
Zhang, Na; Zeng, Wenting; Wang, Yuhe; Sun, Qian Beyond multiple-continuum modeling for the simulation of complex flow mechanisms in multiscale shale porous media. (English) Zbl 1450.76023 J. Comput. Appl. Math. 378, Article ID 112854, 19 p. (2020). MSC: 76M10 76S05 65M30 PDFBibTeX XMLCite \textit{N. Zhang} et al., J. Comput. Appl. Math. 378, Article ID 112854, 19 p. (2020; Zbl 1450.76023) Full Text: DOI
Yao, Wenjuan; Shen, Jie; Guo, Zhichang; Sun, Jiebao; Wu, Boying A total fractional-order variation model for image super-resolution and its SAV algorithm. (English) Zbl 1439.65100 J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020). MSC: 65M06 65T50 65D18 65K10 65J20 26A33 35R11 35R09 PDFBibTeX XMLCite \textit{W. Yao} et al., J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020; Zbl 1439.65100) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K. A generalized matrix Krylov subspace method for TV regularization. (English) Zbl 1503.94008 J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020). MSC: 94A08 65F22 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020; Zbl 1503.94008) Full Text: DOI arXiv
Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O’Regan, Donal; Can, Nguyen Huu Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data. (English) Zbl 1436.35327 J. Comput. Appl. Math. 376, Article ID 112883, 25 p. (2020). MSC: 35R30 65M32 35K20 35R11 47H10 47J06 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 376, Article ID 112883, 25 p. (2020; Zbl 1436.35327) Full Text: DOI arXiv
Jia, Zhongxiao Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. (English) Zbl 1434.65043 J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 15A18 65F10 65F20 65R32 65J20 65J22 65R30 47A52 15A29 45Q05 86A22 PDFBibTeX XMLCite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI arXiv
Cheng, Jin; Ke, Yufei; Wei, Ting The backward problem of parabolic equations with the measurements on a discrete set. (English) Zbl 1431.65152 J. Inverse Ill-Posed Probl. 28, No. 1, 137-144 (2020). MSC: 65M32 35R25 65F22 35R30 PDFBibTeX XMLCite \textit{J. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 137--144 (2020; Zbl 1431.65152) Full Text: DOI
Tuan, Nguyen Huy; Zhou, Yong; Thach, Tran Ngoc; Can, Nguyen Huu An approximate solution for a nonlinear biharmonic equation with discrete random data. (English) Zbl 1434.65233 J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020). MSC: 65N21 65N20 31A30 35R30 35R60 65N35 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020; Zbl 1434.65233) Full Text: DOI
Carasso, Alfred S. Stabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systems. (English) Zbl 1477.65152 Inverse Probl. Sci. Eng. 27, No. 2, 134-165 (2019). MSC: 65M30 65M32 65M06 65N06 65T50 65M12 35B30 35R25 35R30 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 27, No. 2, 134--165 (2019; Zbl 1477.65152) Full Text: DOI Link
Yang, Fan; Zhang, Yan; Li, Xiaoxiao Inversion of initial-value problem by means of quasi-reversibility regularization method combined with discrete random noise. (Chinese. English summary) Zbl 1449.65228 J. Lanzhou Univ. Technol. 45, No. 3, 153-158 (2019). MSC: 65M30 65M32 35R11 26A33 65J20 60H50 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Lanzhou Univ. Technol. 45, No. 3, 153--158 (2019; Zbl 1449.65228)
Zhang, Ke; Li, Maokun; Yang, Fan; Xu, Shenheng; Abubakar, Aria Electrical impedance tomography with multiplicative regularization. (English) Zbl 1431.65206 Inverse Probl. Imaging 13, No. 6, 1139-1159 (2019). MSC: 65N21 65N20 65K10 35R30 92C55 78A46 78A70 65J20 PDFBibTeX XMLCite \textit{K. Zhang} et al., Inverse Probl. Imaging 13, No. 6, 1139--1159 (2019; Zbl 1431.65206) Full Text: DOI
Bergam, A.; Chakib, A.; Nachaoui, A.; Nachaoui, M. Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem. (English) Zbl 1429.65270 Appl. Math. Comput. 346, 865-878 (2019). MSC: 65N20 49M25 65N21 35R30 35J05 PDFBibTeX XMLCite \textit{A. Bergam} et al., Appl. Math. Comput. 346, 865--878 (2019; Zbl 1429.65270) Full Text: DOI
Zakirova, Galiya Amrullovna Inverse spectral problems and mathematical models of continuum mechanics. (English) Zbl 07130401 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 2, 5-24 (2019). MSC: 47A10 PDFBibTeX XMLCite \textit{G. A. Zakirova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 2, 5--24 (2019; Zbl 07130401) Full Text: DOI MNR
Ren, Liting; Xiong, Xiangtuan The Fourier method for the Cauchy problem of the Helmholtz equation with inhomogeneous Dirichlet data. (Chinese. English summary) Zbl 1463.65271 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 2, 184-187 (2019). MSC: 65M30 65T50 35R25 35J05 35B65 65M12 65M15 PDFBibTeX XMLCite \textit{L. Ren} and \textit{X. Xiong}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 2, 184--187 (2019; Zbl 1463.65271) Full Text: DOI
Pazos, Fernando; Bhaya, Amit Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration. (English) Zbl 1468.65036 J. Appl. Math. Comput. 60, No. 1-2, 113-145 (2019). MSC: 65F22 65F10 94A08 PDFBibTeX XMLCite \textit{F. Pazos} and \textit{A. Bhaya}, J. Appl. Math. Comput. 60, No. 1--2, 113--145 (2019; Zbl 1468.65036) Full Text: DOI
Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. (English) Zbl 1417.65119 Appl. Numer. Math. 142, 102-121 (2019). MSC: 65F22 65F10 65F35 PDFBibTeX XMLCite \textit{S. Gazzola} et al., Appl. Numer. Math. 142, 102--121 (2019; Zbl 1417.65119) Full Text: DOI arXiv
Padcharoen, Anantachai; Kumam, Poom; Martínez-Moreno, Juan Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration. (English) Zbl 1432.94017 J. Comput. Appl. Math. 354, 507-519 (2019). MSC: 94A08 90C25 47A52 47H05 47H20 47J25 49M20 49M25 49M27 PDFBibTeX XMLCite \textit{A. Padcharoen} et al., J. Comput. Appl. Math. 354, 507--519 (2019; Zbl 1432.94017) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of subspace for large-scale Tikhonov regularization problems in general form. (English) Zbl 1434.65042 Numer. Algorithms 81, No. 1, 33-55 (2019). MSC: 65F22 65F10 65F50 PDFBibTeX XMLCite \textit{G. Huang} et al., Numer. Algorithms 81, No. 1, 33--55 (2019; Zbl 1434.65042) Full Text: DOI
Minh, Triet Le; Khieu, Tran Thi; Khanh, Tra Quoc; Vo, Hoang-Hung On a space fractional backward diffusion problem and its approximation of local solution. (English) Zbl 1404.65142 J. Comput. Appl. Math. 346, 440-455 (2019). MSC: 65M32 65J20 35R11 65M15 65M12 65M06 65T50 PDFBibTeX XMLCite \textit{T. Le Minh} et al., J. Comput. Appl. Math. 346, 440--455 (2019; Zbl 1404.65142) Full Text: DOI
Zheng, Guang-Hui Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method. (English) Zbl 1404.65147 Appl. Numer. Math. 135, 99-128 (2019). MSC: 65M32 35R11 35R60 65T50 49N60 65N20 42A38 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) Full Text: DOI
Vyachkin, E. S.; Kaledin, V. O.; Reshetnikova, E. V.; Vyachkina, E. A.; Gileva, A. E. Mathematical modeling of static deformation of a layered construction with incompressible layers. (Russian. English summary) Zbl 1506.74028 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 55, 72-83 (2018). MSC: 74A50 35Q74 35R25 PDFBibTeX XMLCite \textit{E. S. Vyachkin} et al., Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 55, 72--83 (2018; Zbl 1506.74028) Full Text: DOI MNR
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao; Huang, Can-Yun The quasi-boundary value regularization method for identifying the initial value with discrete random noise. (English) Zbl 1499.35709 Bound. Value Probl. 2018, Paper No. 108, 12 p. (2018). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Bound. Value Probl. 2018, Paper No. 108, 12 p. (2018; Zbl 1499.35709) Full Text: DOI
Bakanov, Galitdin On the stability of a differential-difference analogue of a two-dimensional problem of integral geometry. (English) Zbl 1499.65627 Filomat 32, No. 3, 933-938 (2018). MSC: 65N21 65N06 65N20 39A12 PDFBibTeX XMLCite \textit{G. Bakanov}, Filomat 32, No. 3, 933--938 (2018; Zbl 1499.65627) Full Text: DOI
Karimi, Milad; Moradlou, Fridoun; Hajipour, Mojtaba On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor. (English) Zbl 1508.65117 Commun. Nonlinear Sci. Numer. Simul. 63, 21-37 (2018). MSC: 65M32 65M30 65T50 65M12 65M15 35B65 35K05 35Q79 35R30 35R35 PDFBibTeX XMLCite \textit{M. Karimi} et al., Commun. Nonlinear Sci. Numer. Simul. 63, 21--37 (2018; Zbl 1508.65117) Full Text: DOI arXiv
Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, V. T. Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. (English) Zbl 1524.65480 Commun. Nonlinear Sci. Numer. Simul. 54, 233-247 (2018). MSC: 65M32 65L04 65L12 65L20 65M20 35G31 35B25 65M12 65K10 65M30 35B40 49M25 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., Commun. Nonlinear Sci. Numer. Simul. 54, 233--247 (2018; Zbl 1524.65480) Full Text: DOI
Borges, Leonardo S.; Bazán, Fermín S. V.; Bedin, Luciano A projection-based algorithm for \(\ell_{2}\)-\(\ell_{p}\) Tikhonov regularization. (English) Zbl 1405.65056 Math. Methods Appl. Sci. 41, No. 15, 5919-5938 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 PDFBibTeX XMLCite \textit{L. S. Borges} et al., Math. Methods Appl. Sci. 41, No. 15, 5919--5938 (2018; Zbl 1405.65056) Full Text: DOI
Dykes, Laura; Huang, Guangxin; Noschese, Silvia; Reichel, Lothar Regularization matrices for discrete ill-posed problems in several space dimensions. (English) Zbl 1513.65112 Numer. Linear Algebra Appl. 25, No. 4, e2163, 16 p. (2018). MSC: 65F22 65K10 PDFBibTeX XMLCite \textit{L. Dykes} et al., Numer. Linear Algebra Appl. 25, No. 4, e2163, 16 p. (2018; Zbl 1513.65112) Full Text: DOI arXiv
Bazán, Fermín S. V.; Boos, Everton Schultz matrix iteration based method for stable solution of discrete ill-posed problems. (English) Zbl 1405.65042 Linear Algebra Appl. 554, 120-145 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F22 65F20 PDFBibTeX XMLCite \textit{F. S. V. Bazán} and \textit{E. Boos}, Linear Algebra Appl. 554, 120--145 (2018; Zbl 1405.65042) Full Text: DOI
Jia, Zhongxiao; Yang, Yanfei Modified truncated randomized singular value decomposition (MTRSVD) algorithms for large scale discrete ill-posed problems with general-form regularization. (English) Zbl 1518.65037 Inverse Probl. 34, No. 5, Article ID 055013, 28 p. (2018). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Yang}, Inverse Probl. 34, No. 5, Article ID 055013, 28 p. (2018; Zbl 1518.65037) Full Text: DOI arXiv
Jozi, Meisam; Karimi, Saeed A weighted singular value decomposition for the discrete inverse problems. (English) Zbl 1499.65133 Numer. Linear Algebra Appl. 25, No. 1, e2114, 13 p. (2018). MSC: 65F18 65F22 45B05 PDFBibTeX XMLCite \textit{M. Jozi} and \textit{S. Karimi}, Numer. Linear Algebra Appl. 25, No. 1, e2114, 13 p. (2018; Zbl 1499.65133) Full Text: DOI
Chi, Guangsheng; Li, Gongsheng Numerical inversions of joint parameters in fractional diffusion equation. (Chinese. English summary) Zbl 1399.65150 J. Fudan Univ., Nat. Sci. 56, No. 6, 767-775 (2017). MSC: 65M06 65M32 35R11 65T50 65J20 PDFBibTeX XMLCite \textit{G. Chi} and \textit{G. Li}, J. Fudan Univ., Nat. Sci. 56, No. 6, 767--775 (2017; Zbl 1399.65150)
Cao, Xiaoxiao; Mao, Dongling; Cheng, Qiang; Xiong, Xiangtuan A Fourier method for solving the Cauchy problem for the Laplace equation with nonhomogeneous Neumann data. (Chinese. English summary) Zbl 1399.65218 J. Hubei Univ., Nat. Sci. 39, No. 3, 236-240 (2017). MSC: 65M30 65M15 65T50 PDFBibTeX XMLCite \textit{X. Cao} et al., J. Hubei Univ., Nat. Sci. 39, No. 3, 236--240 (2017; Zbl 1399.65218) Full Text: DOI
Meng, Lingsheng; Zheng, Bing Structured condition numbers for the Tikhonov regularization of discrete ill-posed problems. (English) Zbl 1413.65164 J. Comput. Math. 35, No. 2, 169-186 (2017). MSC: 65F35 65F22 PDFBibTeX XMLCite \textit{L. Meng} and \textit{B. Zheng}, J. Comput. Math. 35, No. 2, 169--186 (2017; Zbl 1413.65164) Full Text: DOI
Jiang, Xue; Li, Peijun Inverse electromagnetic diffraction by biperiodic dielectric gratings. (English) Zbl 1378.78023 Inverse Probl. 33, No. 8, Article ID 085004, 29 p. (2017). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 35Q60 65F08 65M50 65R30 65T50 78A25 78M10 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{P. Li}, Inverse Probl. 33, No. 8, Article ID 085004, 29 p. (2017; Zbl 1378.78023) Full Text: DOI arXiv
Onunwor, Enyinda; Reichel, Lothar On the computation of a truncated SVD of a large linear discrete ill-posed problem. (English) Zbl 1368.65063 Numer. Algorithms 75, No. 2, 359-380 (2017). MSC: 65F20 65F22 PDFBibTeX XMLCite \textit{E. Onunwor} and \textit{L. Reichel}, Numer. Algorithms 75, No. 2, 359--380 (2017; Zbl 1368.65063) Full Text: DOI
Zwaan, Ian N.; Hochstenbach, Michiel E. Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. (English) Zbl 1370.65021 J. Sci. Comput. 70, No. 3, 990-1009 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F22 65F08 PDFBibTeX XMLCite \textit{I. N. Zwaan} and \textit{M. E. Hochstenbach}, J. Sci. Comput. 70, No. 3, 990--1009 (2017; Zbl 1370.65021) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Z.-Z. Bai} et al., J. Comput. Appl. Math. 319, 1--13 (2017; Zbl 1360.65112) Full Text: DOI Link
Jeong, In-Jee; Pausader, Benoit Discrete Schrödinger equation and ill-posedness for the Euler equation. (English) Zbl 1366.35121 Discrete Contin. Dyn. Syst. 37, No. 1, 281-293 (2017). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q31 76D03 35R25 PDFBibTeX XMLCite \textit{I.-J. Jeong} and \textit{B. Pausader}, Discrete Contin. Dyn. Syst. 37, No. 1, 281--293 (2017; Zbl 1366.35121) Full Text: DOI
Tran, Quoc Viet; Kirane, Mokhtar; Nguyen, Huy Tuan; Nguyen, Van Thinh Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations. (English) Zbl 1351.65068 J. Math. Anal. Appl. 446, No. 1, 470-492 (2017). MSC: 65M30 35J62 65T50 65M12 PDFBibTeX XMLCite \textit{Q. V. Tran} et al., J. Math. Anal. Appl. 446, No. 1, 470--492 (2017; Zbl 1351.65068) Full Text: DOI
Gazzola, Silvia; Onunwor, Enyinda; Reichel, Lothar; Rodriguez, Giuseppe On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems. (English) Zbl 1413.65120 Numer. Linear Algebra Appl. 23, No. 1, 187-204 (2016). MSC: 65F22 65F10 65F35 PDFBibTeX XMLCite \textit{S. Gazzola} et al., Numer. Linear Algebra Appl. 23, No. 1, 187--204 (2016; Zbl 1413.65120) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng Projected nonstationary iterated Tikhonov regularization. (English) Zbl 1341.65017 BIT 56, No. 2, 467-487 (2016). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{G. Huang} et al., BIT 56, No. 2, 467--487 (2016; Zbl 1341.65017) Full Text: DOI
Landi, G.; Loli Piccolomini, E.; Tomba, I. A stopping criterion for iterative regularization methods. (English) Zbl 1382.65115 Appl. Numer. Math. 106, 53-68 (2016). MSC: 65F22 65J10 PDFBibTeX XMLCite \textit{G. Landi} et al., Appl. Numer. Math. 106, 53--68 (2016; Zbl 1382.65115) Full Text: DOI Link
Bellavia, Stefania; Morini, Benedetta; Riccietti, Elisa On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation. (English) Zbl 1336.93055 Comput. Optim. Appl. 64, No. 1, 1-30 (2016). MSC: 93B40 93C40 49N45 49N60 93C10 93C55 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Comput. Optim. Appl. 64, No. 1, 1--30 (2016; Zbl 1336.93055) Full Text: DOI arXiv
Agoshkov, Valery I.; Sheloput, Tatiana O. The study and numerical solution of the problem of heat and salinity transfer assuming “liquid” boundaries. (English) Zbl 1346.49045 Russ. J. Numer. Anal. Math. Model. 31, No. 2, 71-80 (2016). MSC: 49M30 49M25 49N45 49J20 49K20 35K05 65M60 PDFBibTeX XMLCite \textit{V. I. Agoshkov} and \textit{T. O. Sheloput}, Russ. J. Numer. Anal. Math. Model. 31, No. 2, 71--80 (2016; Zbl 1346.49045) Full Text: DOI
Gopinathan, Unnikrishnan; Healy, John J.; Kelly, Damien P.; Sheridan, John T. Deterministic phase retrieval using the LCT. (English) Zbl 1334.78006 Healy, John J. (ed.) et al., Linear canonical transforms. Theory and applications. New York, NY: Springer (ISBN 978-1-4939-3027-2/hbk; 978-1-4939-3028-9/ebook). Springer Series in Optical Sciences 198, 331-346 (2016). MSC: 78A05 78A46 65T50 65J20 PDFBibTeX XMLCite \textit{U. Gopinathan} et al., Springer Ser. Opt. Sci. 198, 331--346 (2016; Zbl 1334.78006) Full Text: DOI
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. (English) Zbl 1380.65376 SIAM J. Sci. Comput. 38, No. 2, A875-A898 (2016). MSC: 65N30 65F08 65N22 76M10 76S05 65F10 65N20 PDFBibTeX XMLCite \textit{J. Kraus} et al., SIAM J. Sci. Comput. 38, No. 2, A875--A898 (2016; Zbl 1380.65376) Full Text: DOI
Albani, Vinicius; De Cezaro, Adriano; Zubelli, Jorge P. On the choice of the Tikhonov regularization parameter and the discretization level: a discrepancy-based strategy. (English) Zbl 1334.35416 Inverse Probl. Imaging 10, No. 1, 1-25 (2016). MSC: 35R30 65J22 47J06 PDFBibTeX XMLCite \textit{V. Albani} et al., Inverse Probl. Imaging 10, No. 1, 1--25 (2016; Zbl 1334.35416) Full Text: DOI arXiv
Agoshkov, V. I.; Grebennikov, D. S.; Sheloput, T. O. Analysis and numerical solution of an inverse problem of modeling circulation in water areas with ‘liquid’ boundaries. (Russian. English summary) Zbl 1374.86005 Mat. Zamet. SVFU 22, No. 2, 49-61 (2015). MSC: 86A05 35R30 49M30 49M25 49N45 49J20 49K20 65M60 PDFBibTeX XMLCite \textit{V. I. Agoshkov} et al., Mat. Zamet. SVFU 22, No. 2, 49--61 (2015; Zbl 1374.86005)
Kadchenko, Sergeĭ Ivanovich; Zakirova, Galiya Amrullovna A numerical method for inverse spectral problems. (English) Zbl 1344.47015 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 3, 116-126 (2015). MSC: 47A75 65L09 PDFBibTeX XMLCite \textit{S. I. Kadchenko} and \textit{G. A. Zakirova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 3, 116--126 (2015; Zbl 1344.47015) Full Text: DOI
Paukštaitė, Gailė; Štikonas, Artūras Ordinary and generalized Green’s functions for the second order discrete nonlocal problems. (English) Zbl 1338.65198 Bound. Value Probl. 2015, Paper No. 207, 18 p. (2015). MSC: 65L10 34B27 65L08 34B05 PDFBibTeX XMLCite \textit{G. Paukštaitė} and \textit{A. Štikonas}, Bound. Value Probl. 2015, Paper No. 207, 18 p. (2015; Zbl 1338.65198) Full Text: DOI