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
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: 47A75 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Doumic} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3931--3961 (2020; Zbl 1452.35218) Full Text: DOI
Liu, Rongrong; Wang, Zhengsheng; Liu, Fengming; Xu, Guili Modulus-based iterative method for constrained fractional Tikhonov regularization. (Chinese. English summary) Zbl 07267468 Numer. Math., Nanjing 42, No. 1, 72-86 (2020). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{R. Liu} et al., Numer. Math., Nanjing 42, No. 1, 72--86 (2020; Zbl 07267468)
Mueller, J. L.; Siltanen, Samuli The D-bar method for electrical impedance tomography – demystified. (English) Zbl 07252733 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 PDF BibTeX XML Cite \textit{J. L. Mueller} and \textit{S. Siltanen}, Inverse Probl. 36, No. 9, Article ID 093001, 28 p. (2020; Zbl 07252733) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Leykekhman} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1139--1180 (2020; Zbl 1446.65114) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Z. Jia}, Inverse Probl. 36, No. 8, Article ID 085009, 38 p. (2020; Zbl 1452.65075) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Bisiacco} and \textit{G. Pillonetto}, SIAM J. Control Optim. 58, No. 4, 2006--2022 (2020; Zbl 1445.47056) Full Text: DOI
Reichel, Lothar; Sadok, Hassane; Zhang, Wei-Hong Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. (English) Zbl 07221104 Numer. Algorithms 84, No. 4, 1381-1395 (2020). MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{L. Reichel} et al., Numer. Algorithms 84, No. 4, 1381--1395 (2020; Zbl 07221104) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{U. Çetin}, Stochastic Processes Appl. 130, No. 7, 4062--4080 (2020; Zbl 1444.62110) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 07193286 J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020). MSC: 65 90 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020; Zbl 07193286) Full Text: DOI
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 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 376, Article ID 112883, 25 p. (2020; Zbl 1436.35327) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020; Zbl 1434.65233) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 07112749 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 2, 184-187 (2019). MSC: 65M30 65T50 PDF BibTeX XML Cite \textit{L. Ren} and \textit{X. Xiong}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 2, 184--187 (2019; Zbl 07112749) 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 07094244 J. Appl. Math. Comput. 60, No. 1-2, 113-145 (2019). MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{F. Pazos} and \textit{A. Bhaya}, J. Appl. Math. Comput. 60, No. 1--2, 113--145 (2019; Zbl 07094244) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) 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 PDF BibTeX XML Cite \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 06945802 Numer. Linear Algebra Appl. 25, No. 4, e2163, 16 p. (2018). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{L. Dykes} et al., Numer. Linear Algebra Appl. 25, No. 4, e2163, 16 p. (2018; Zbl 06945802) 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 PDF BibTeX XML Cite \textit{F. S. V. Bazán} and \textit{E. Boos}, Linear Algebra Appl. 554, 120--145 (2018; Zbl 1405.65042) Full Text: DOI
Jozi, Meisam; Karimi, Saeed A weighted singular value decomposition for the discrete inverse problems. (English) Zbl 06861596 Numer. Linear Algebra Appl. 25, No. 1, e2114, 13 p. (2018). MSC: 65F22 PDF BibTeX XML Cite \textit{M. Jozi} and \textit{S. Karimi}, Numer. Linear Algebra Appl. 25, No. 1, e2114, 13 p. (2018; Zbl 06861596) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{X. Jiang} and \textit{P. Li}, Inverse Probl. 33, No. 8, Article ID 085004, 29 p. (2017; Zbl 1378.78023) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{Z.-Z. Bai} et al., J. Comput. Appl. Math. 319, 1--13 (2017; Zbl 1360.65112) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. Landi} et al., Appl. Numer. Math. 106, 53--68 (2016; Zbl 1382.65115) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. Paukštaitė} and \textit{A. Štikonas}, Bound. Value Probl. 2015, Paper No. 207, 18 p. (2015; Zbl 1338.65198) Full Text: DOI
Revunova, E. G. Analytical study of error components for solving discrete ill-posed problems using random projections. (English. Russian original) Zbl 1336.65065 Cybern. Syst. Anal. 51, No. 6, 978-991 (2015); translation from Kibern. Sist. Anal. 2015, No. 6, 160-173 (2015). MSC: 65F22 PDF BibTeX XML Cite \textit{E. G. Revunova}, Cybern. Syst. Anal. 51, No. 6, 978--991 (2015; Zbl 1336.65065); translation from Kibern. Sist. Anal. 2015, No. 6, 160--173 (2015) Full Text: DOI
Acosta, Carlos D.; Osorio, Fernán C. Numerical solution of the non-local Black-Scholes model by means of discrete mollification. (Spanish. English summary) Zbl 1337.65180 Rev. Integr. 33, No. 2, 145-160 (2015). MSC: 65R30 91G60 35Q91 45K05 35R09 65M06 65M12 PDF BibTeX XML Cite \textit{C. D. Acosta} and \textit{F. C. Osorio}, Rev. Integr. 33, No. 2, 145--160 (2015; Zbl 1337.65180) Full Text: DOI
Viloche Bazán, Fermín S. Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems. (English) Zbl 1323.65038 J. Sci. Comput. 63, No. 1, 163-184 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 PDF BibTeX XML Cite \textit{F. S. Viloche Bazán}, J. Sci. Comput. 63, No. 1, 163--184 (2015; Zbl 1323.65038) Full Text: DOI
Noschese, Silvia; Reichel, Lothar Lavrentiev-type regularization methods for Hermitian problems. (English) Zbl 1323.65037 Calcolo 52, No. 2, 187-205 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Noschese} and \textit{L. Reichel}, Calcolo 52, No. 2, 187--205 (2015; Zbl 1323.65037) Full Text: DOI
Lv, Xiao-Guang; Huang, Ting-Zhu; Jiang, Le; Liu, Jun Two global iterative methods for ill-posed problems from image restoration. (English) Zbl 1320.65036 J. Comput. Anal. Appl. 18, No. 2, 219-237 (2015). MSC: 65D18 94A08 65F22 PDF BibTeX XML Cite \textit{X.-G. Lv} et al., J. Comput. Anal. Appl. 18, No. 2, 219--237 (2015; Zbl 1320.65036)
Richter, Mathias Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083 Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 PDF BibTeX XML Cite \textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083) Full Text: DOI
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria On Krylov projection methods and Tikhonov regularization. (English) Zbl 1312.65065 ETNA, Electron. Trans. Numer. Anal. 44, 83-123 (2015). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} et al., ETNA, Electron. Trans. Numer. Anal. 44, 83--123 (2015; Zbl 1312.65065) Full Text: EMIS
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria Embedded techniques for choosing the parameter in Tikhonov regularization. (English) Zbl 1340.65068 Numer. Linear Algebra Appl. 21, No. 6, 796-812 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} et al., Numer. Linear Algebra Appl. 21, No. 6, 796--812 (2014; Zbl 1340.65068) Full Text: DOI arXiv
Noschese, Silvia; Reichel, Lothar Inverse subspace problems with applications. (English) Zbl 1340.65069 Numer. Linear Algebra Appl. 21, No. 5, 589-603 (2014). Reviewer: Robert Plato (Siegen) MSC: 65F22 65F25 65F35 PDF BibTeX XML Cite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 5, 589--603 (2014; Zbl 1340.65069) Full Text: DOI
Novati, Paolo; Russo, Maria Rosaria Adaptive Arnoldi-Tikhonov regularization for image restoration. (English) Zbl 1298.65071 Numer. Algorithms 65, No. 4, 745-757 (2014). MSC: 65F22 65D18 94A08 PDF BibTeX XML Cite \textit{P. Novati} and \textit{M. R. Russo}, Numer. Algorithms 65, No. 4, 745--757 (2014; Zbl 1298.65071) Full Text: DOI
Novati, Paolo; Russo, Maria Rosaria A GCV based Arnoldi-Tikhonov regularization method. (English) Zbl 1317.65104 BIT 54, No. 2, 501-521 (2014). Reviewer: Martin Plešinger (Liberec) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{P. Novati} and \textit{M. R. Russo}, BIT 54, No. 2, 501--521 (2014; Zbl 1317.65104) Full Text: DOI arXiv
Dykes, L.; Marcellán, F.; Reichel, L. The structure of iterative methods for symmetric linear discrete ill-posed problems. (English) Zbl 1290.65034 BIT 54, No. 1, 129-145 (2014). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{L. Dykes} et al., BIT 54, No. 1, 129--145 (2014; Zbl 1290.65034) Full Text: DOI
Morikuni, Keiichi; Reichel, Lothar; Hayami, Ken FGMRES for linear discrete ill-posed problems. (English) Zbl 1302.65081 Appl. Numer. Math. 75, 175-187 (2014). MSC: 65F10 65F08 65F22 PDF BibTeX XML Cite \textit{K. Morikuni} et al., Appl. Numer. Math. 75, 175--187 (2014; Zbl 1302.65081) Full Text: DOI
Feng, Xiaoli; Eldén, Lars Solving a Cauchy problem for a 3D elliptic PDE with variable coefficients by a quasi-boundary-value method. (English) Zbl 1292.65111 Inverse Probl. 30, No. 1, Article ID 015005, 17 p. (2014). MSC: 65N06 65N20 65N22 65F10 65F22 65T50 PDF BibTeX XML Cite \textit{X. Feng} and \textit{L. Eldén}, Inverse Probl. 30, No. 1, Article ID 015005, 17 p. (2014; Zbl 1292.65111) Full Text: DOI
Liu, Jingjing; Shi, Yuying; Zhu, Yonggui A fast and robust algorithm for image restoration with periodic boundary conditions. (English) Zbl 1290.65133 J. Comput. Anal. Appl. 17, No. 3, 524-538 (2014). MSC: 65R30 65R20 45B05 45A05 65D18 65T50 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Comput. Anal. Appl. 17, No. 3, 524--538 (2014; Zbl 1290.65133)
Gonçalves, Etereldes; Sarkis, Marcus Analysis of robust parameter-free multilevel methods for Neumann boundary control problems. (English) Zbl 1393.65051 Comput. Methods Appl. Math. 13, No. 2, 207-235 (2013). MSC: 65N30 65N20 93C20 49J20 65N50 65F10 65K10 65F08 PDF BibTeX XML Cite \textit{E. Gonçalves} and \textit{M. Sarkis}, Comput. Methods Appl. Math. 13, No. 2, 207--235 (2013; Zbl 1393.65051) Full Text: DOI
Popovici, Nicolae; Boncuţ, Mioara Mathematical model, discrete model, informatics model and C++ source program for solving partial differential hyperbolic equations with imposed conditions. (English) Zbl 1313.65253 Bul. Ştiinţ. Univ. Politeh. Timiş., Ser. Mat.-Fiz. 58(72), No. 1, 60-70 (2013). MSC: 65M30 PDF BibTeX XML Cite \textit{N. Popovici} and \textit{M. Boncuţ}, Bul. Ştiinţ. Univ. Politeh. Timiş., Ser. Mat.-Fiz. 58(72), No. 1, 60--70 (2013; Zbl 1313.65253)
Kadchenko, Sergej Ivanovich A numerical method for solving inverse problems generated by the perturbed self-adjoint operators. (Russian. English summary) Zbl 1301.47028 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 4, 15-25 (2013). MSC: 47A75 47A52 47A55 PDF BibTeX XML Cite \textit{S. I. Kadchenko}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 4, 15--25 (2013; Zbl 1301.47028)
Bardsley, Johnathan M.; Howard, Marylesa; Nagy, James G. Efficient MCMC-based image deblurring with Neumann boundary conditions. (English) Zbl 1288.65002 ETNA, Electron. Trans. Numer. Anal. 40, 476-488 (2013). MSC: 65C05 65C40 60J22 65D18 65J22 45Q05 45E10 PDF BibTeX XML Cite \textit{J. M. Bardsley} et al., ETNA, Electron. Trans. Numer. Anal. 40, 476--488 (2013; Zbl 1288.65002) Full Text: EMIS
Solodky, Sergey G.; Semenova, Evgeniya V. On accuracy of solving Symm’s equation by a fully discrete projection method. (English) Zbl 1278.65203 J. Inverse Ill-Posed Probl. 21, No. 6, 781-797 (2013). MSC: 65R20 47A52 PDF BibTeX XML Cite \textit{S. G. Solodky} and \textit{E. V. Semenova}, J. Inverse Ill-Posed Probl. 21, No. 6, 781--797 (2013; Zbl 1278.65203) Full Text: DOI
Reichel, Lothar; Rodriguez, Giuseppe Old and new parameter choice rules for discrete ill-posed problems. (English) Zbl 1267.65045 Numer. Algorithms 63, No. 1, 65-87 (2013). MSC: 65F22 65F10 65F20 PDF BibTeX XML Cite \textit{L. Reichel} and \textit{G. Rodriguez}, Numer. Algorithms 63, No. 1, 65--87 (2013; Zbl 1267.65045) Full Text: DOI
Chapko, Roman; Johansson, B. Tomas A direct integral equation method for a Cauchy problem for the Laplace equation in 3-dimensional semi-infinite domains. (English) Zbl 1357.65238 CMES, Comput. Model. Eng. Sci. 85, No. 2, 105-128 (2012). MSC: 65N20 65J20 35J05 35R25 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{B. T. Johansson}, CMES, Comput. Model. Eng. Sci. 85, No. 2, 105--128 (2012; Zbl 1357.65238) Full Text: DOI
Rachkovskij, D. A.; Revunova, E. G. A randomized method for solving discrete ill-posed problems. (English. Russian original) Zbl 1311.65043 Cybern. Syst. Anal. 48, No. 4, 621-635 (2012); translation from Kibern. Sist. Anal. No. 4, 163-181 (2012). MSC: 65F22 PDF BibTeX XML Cite \textit{D. A. Rachkovskij} and \textit{E. G. Revunova}, Cybern. Syst. Anal. 48, No. 4, 621--635 (2012; Zbl 1311.65043); translation from Kibern. Sist. Anal. No. 4, 163--181 (2012) Full Text: DOI
Viloche Bazán, Fermín S.; Borges, Leonardo S.; Francisco, Juliano B. On a generalization of Regińska’s parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization. (English) Zbl 1293.65061 Appl. Math. Comput. 219, No. 4, 2100-2113 (2012). MSC: 65F20 65F22 PDF BibTeX XML Cite \textit{F. S. Viloche Bazán} et al., Appl. Math. Comput. 219, No. 4, 2100--2113 (2012; Zbl 1293.65061) Full Text: DOI
Shi, Wanxia; Xiong, Xiangtuan The Fourier regularization method for inverse heat conduction problem in a multilayer medium. (Chinese. English summary) Zbl 1289.65217 Commun. Appl. Math. Comput. 26, No. 3, 348-354 (2012). MSC: 65M32 65M30 65T50 35K05 35R25 35R30 65M15 PDF BibTeX XML Cite \textit{W. Shi} and \textit{X. Xiong}, Commun. Appl. Math. Comput. 26, No. 3, 348--354 (2012; Zbl 1289.65217)
Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. (English) Zbl 1273.35017 Complex Anal. Oper. Theory 6, No. 1, 307-324 (2012). MSC: 35A22 35C15 35E99 46E22 47A52 PDF BibTeX XML Cite \textit{L. P. Castro} et al., Complex Anal. Oper. Theory 6, No. 1, 307--324 (2012; Zbl 1273.35017) Full Text: DOI
Donatelli, Marco An iterative multigrid regularization method for Toeplitz discrete ill-posed problems. (English) Zbl 1265.65074 Numer. Math., Theory Methods Appl. 5, No. 1, 43-61 (2012). MSC: 65F22 65N20 65N55 94A08 94A12 PDF BibTeX XML Cite \textit{M. Donatelli}, Numer. Math., Theory Methods Appl. 5, No. 1, 43--61 (2012; Zbl 1265.65074) Full Text: DOI
Schuster, Thomas; Rieder, Andreas; Schöpfer, Frank The approximate inverse in action. IV: Semi-discrete equations in a Banach space setting. (English) Zbl 1259.65078 Inverse Probl. 28, No. 10, Article ID 104001, 19 p. (2012). Reviewer: R. S. Dahiya (Ames) MSC: 65J10 65J20 47A50 PDF BibTeX XML Cite \textit{T. Schuster} et al., Inverse Probl. 28, No. 10, Article ID 104001, 19 p. (2012; Zbl 1259.65078) Full Text: DOI
Eggermont, P. P. B.; Lariccia, V. N.; Nashed, M. Z. Moment discretization for ill-posed problems with discrete weakly bounded noise. (English) Zbl 1272.47016 GEM. Int. J. Geomath. 3, No. 2, 155-178 (2012). Reviewer: Thorsten Hohage (Göttingen) MSC: 47A52 45Q05 45R05 46E25 60G35 46E22 PDF BibTeX XML Cite \textit{P. P. B. Eggermont} et al., GEM. Int. J. Geomath. 3, No. 2, 155--178 (2012; Zbl 1272.47016) Full Text: DOI
Novati, P.; Redivo-Zaglia, M.; Russo, M. R. Preconditioning linear systems via matrix function evaluation. (English) Zbl 1255.65075 Appl. Numer. Math. 62, No. 12, 1804-1818 (2012). MSC: 65F08 65F22 65R20 65D18 PDF BibTeX XML Cite \textit{P. Novati} et al., Appl. Numer. Math. 62, No. 12, 1804--1818 (2012; Zbl 1255.65075) Full Text: DOI
Acosta, Carlos D.; Bürger, Raimund Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions. (English) Zbl 1258.65074 IMA J. Numer. Anal. 32, No. 4, 1509-1540 (2012). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M06 35K55 35K65 65M12 PDF BibTeX XML Cite \textit{C. D. Acosta} and \textit{R. Bürger}, IMA J. Numer. Anal. 32, No. 4, 1509--1540 (2012; Zbl 1258.65074) Full Text: DOI
Noschese, Silvia; Reichel, Lothar Inverse problems for regularization matrices. (English) Zbl 1254.65053 Numer. Algorithms 60, No. 4, 531-544 (2012). MSC: 65F22 PDF BibTeX XML Cite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Algorithms 60, No. 4, 531--544 (2012; Zbl 1254.65053) Full Text: DOI
Zhong, Min; Lu, Shuai; Cheng, Jin Multiscale analysis for ill-posed problems with semi-discrete Tikhonov regularization. (English) Zbl 1254.65071 Inverse Probl. 28, No. 6, Article ID 065019, 19 p. (2012). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J20 46E35 47A52 65J10 65J22 PDF BibTeX XML Cite \textit{M. Zhong} et al., Inverse Probl. 28, No. 6, Article ID 065019, 19 p. (2012; Zbl 1254.65071) Full Text: DOI
Huckle, Thomas Kilian; Sedlacek, Matous Tikhonov-Phillips regularization with operator dependent seminorms. (English) Zbl 1245.65049 Numer. Algorithms 60, No. 2, 339-353 (2012). MSC: 65F22 94A08 94A12 PDF BibTeX XML Cite \textit{T. K. Huckle} and \textit{M. Sedlacek}, Numer. Algorithms 60, No. 2, 339--353 (2012; Zbl 1245.65049) Full Text: DOI
Neuman, A.; Reichel, L.; Sadok, H. Implementations of range restricted iterative methods for linear discrete ill-posed problems. (English) Zbl 1241.65045 Linear Algebra Appl. 436, No. 10, 3974-3990 (2012). MSC: 65F22 PDF BibTeX XML Cite \textit{A. Neuman} et al., Linear Algebra Appl. 436, No. 10, 3974--3990 (2012; Zbl 1241.65045) Full Text: DOI
Hochstenbach, Michiel E.; Reichel, Lothar Combining approximate solutions for linear discrete ill-posed problems. (English) Zbl 1241.65043 J. Comput. Appl. Math. 236, No. 8, 2179-2185 (2012). MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, J. Comput. Appl. Math. 236, No. 8, 2179--2185 (2012; Zbl 1241.65043) Full Text: DOI
Abad, J. O.; Morigi, S.; Reichel, L.; Sgallari, F. Alternating Krylov subspace image restoration methods. (English) Zbl 1251.65091 J. Comput. Appl. Math. 236, No. 8, 2049-2062 (2012). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 65J20 65R30 49J21 65D18 94A08 49M25 PDF BibTeX XML Cite \textit{J. O. Abad} et al., J. Comput. Appl. Math. 236, No. 8, 2049--2062 (2012; Zbl 1251.65091) Full Text: DOI
Neuman, Arthur; Reichel, Lothar; Sadok, Hassane Algorithms for range restricted iterative methods for linear discrete ill-posed problems. (English) Zbl 1236.65040 Numer. Algorithms 59, No. 2, 325-331 (2012). MSC: 65F22 PDF BibTeX XML Cite \textit{A. Neuman} et al., Numer. Algorithms 59, No. 2, 325--331 (2012; Zbl 1236.65040) Full Text: DOI
Li, Miao; Morozov, Vladimir; Piskarev, Sergey On the approximations of derivatives of integrated semigroups. II. (English) Zbl 1279.34071 J. Inverse Ill-Posed Probl. 19, No. 4-5, 643-688 (2011). MSC: 34G10 47D06 65J20 65J22 PDF BibTeX XML Cite \textit{M. Li} et al., J. Inverse Ill-Posed Probl. 19, No. 4--5, 643--688 (2011; Zbl 1279.34071) Full Text: DOI
Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten A finite element model for the data completion problem: analysis and assessment. (English) Zbl 1242.65191 Inverse Probl. Sci. Eng. 19, No. 8, 1063-1086 (2011). MSC: 65M32 35J25 35R30 65M60 PDF BibTeX XML Cite \textit{M. Azaïez} et al., Inverse Probl. Sci. Eng. 19, No. 8, 1063--1086 (2011; Zbl 1242.65191) Full Text: DOI
Chu, Delin; Lin, Lijing; Tan, Roger C. E.; Wei, Yimin Condition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problems. (English) Zbl 1249.65084 Numer. Linear Algebra Appl. 18, No. 1, 87-103 (2011). Reviewer: Petr Tichý (Praha) MSC: 65F22 65F20 65F35 PDF BibTeX XML Cite \textit{D. Chu} et al., Numer. Linear Algebra Appl. 18, No. 1, 87--103 (2011; Zbl 1249.65084) Full Text: DOI
Burrage, K.; Van Casteren, J.; Piskarev, S. Stochastic regularization method for backward Cauchy problem in Banach spaces. (English) Zbl 1242.65107 Numer. Funct. Anal. Optim. 32, No. 10, 1019-1040 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65J08 35K90 47D06 35R25 65M12 65J10 65J20 34G10 65M20 PDF BibTeX XML Cite \textit{K. Burrage} et al., Numer. Funct. Anal. Optim. 32, No. 10, 1019--1040 (2011; Zbl 1242.65107) Full Text: DOI
Sun, Ping; Feng, Xiaoli A simple method for solving the Cauchy problem for the modified Helmholtz equation. (Chinese. English summary) Zbl 1240.65279 J. Math., Wuhan Univ. 31, No. 4, 756-762 (2011). MSC: 65M30 35J05 65M15 65T50 35R25 PDF BibTeX XML Cite \textit{P. Sun} and \textit{X. Feng}, J. Math., Wuhan Univ. 31, No. 4, 756--762 (2011; Zbl 1240.65279)
Sedov, A. I. On the inverse problem of spectral analysis. (Russian. English summary) Zbl 1244.47015 Vestn. Yuzhno-Ural. Gos. Univ. 4(221), Ser. Mat. Model. Program. 7, 91-99 (2011). Reviewer: Alfredo Lorenzi (Milano) MSC: 47A52 47A10 35R30 35J05 35J25 PDF BibTeX XML Cite \textit{A. I. Sedov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 4(221), No. 7, 91--99 (2011; Zbl 1244.47015)