Pashaev, Arif Mir Calal; Iskenderov, Asaf Dashdamir; Yaqubov, Qabil Yavar; Musaeva, Matanet Asaf Variation method solving of the inverse problems for Schrödinger-type equation. (English) Zbl 07773426 J. Inverse Ill-Posed Probl. 31, No. 6, 799-810 (2023). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49N45 47J06 PDFBibTeX XMLCite \textit{A. M. C. Pashaev} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 799--810 (2023; Zbl 07773426) Full Text: DOI
Lei, M.; Liu, L.; Chen, C. S.; Zhao, W. The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations. (English) Zbl 1515.65275 Int. J. Comput. Math. 100, No. 7, 1500-1511 (2023). MSC: 65N20 PDFBibTeX XMLCite \textit{M. Lei} et al., Int. J. Comput. Math. 100, No. 7, 1500--1511 (2023; Zbl 1515.65275) Full Text: DOI
Zhong, Min; Gia, Quoc Thong Le; Sloan, Ian Hugh A multiscale RBF method for severely ill-posed problems on spheres. (English) Zbl 1528.65029 J. Sci. Comput. 94, No. 1, Paper No. 22, 30 p. (2023). MSC: 65J20 35S05 47A52 65D12 65J05 PDFBibTeX XMLCite \textit{M. Zhong} et al., J. Sci. Comput. 94, No. 1, Paper No. 22, 30 p. (2023; Zbl 1528.65029) Full Text: DOI
Jiang, Yi; Liu, Jun; Wang, Xiang-Sheng A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. (English) Zbl 1505.65254 J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023). MSC: 65M32 65M30 65M12 65M15 65F35 65F05 65J20 65Y05 PDFBibTeX XMLCite \textit{Y. Jiang} et al., J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023; Zbl 1505.65254) Full Text: DOI arXiv
Mazloum, Jalil; Hadian Siahkal-Mahalle, Behrang A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising. (English) Zbl 07636102 Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022). MSC: 65M30 65M06 65M55 PDFBibTeX XMLCite \textit{J. Mazloum} and \textit{B. Hadian Siahkal-Mahalle}, Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022; Zbl 07636102) Full Text: DOI
Singh, Robin; Dhiman, Neeraj; Tamsir, Mohammad Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness. (English) Zbl 1506.65199 J. Appl. Anal. 28, No. 2, 263-273 (2022). MSC: 65N25 65D07 37N15 37M05 74K20 74H45 35Q74 35R25 PDFBibTeX XMLCite \textit{R. Singh} et al., J. Appl. Anal. 28, No. 2, 263--273 (2022; Zbl 1506.65199) Full Text: DOI
Tian, Zhiwei; Shi, Yanyan; Wang, Meng; Kong, Xiaolong; Li, Lei; Fu, Feng A wavelet frame constrained total generalized variation model for imaging conductivity distribution. (English) Zbl 1494.78011 Inverse Probl. Imaging 16, No. 4, 753-769 (2022). MSC: 78A46 78A45 92C55 78M30 78M10 65N21 65N20 65J20 35B65 35R25 35R30 35Q60 PDFBibTeX XMLCite \textit{Z. Tian} et al., Inverse Probl. Imaging 16, No. 4, 753--769 (2022; Zbl 1494.78011) Full Text: DOI
El Guide, M.; Jbilou, K.; Ratnani, A. RBF approximation of three dimensional PDEs using tensor Krylov subspace methods. (English) Zbl 1521.65116 Eng. Anal. Bound. Elem. 139, 77-85 (2022). MSC: 65N20 65D12 65N35 PDFBibTeX XMLCite \textit{M. El Guide} et al., Eng. Anal. Bound. Elem. 139, 77--85 (2022; Zbl 1521.65116) Full Text: DOI arXiv
Hanke, Michael; März, Roswitha Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices. (English) Zbl 1484.65164 Numer. Algorithms 89, No. 3, 931-963 (2022). MSC: 65L80 65L08 65F20 34A99 PDFBibTeX XMLCite \textit{M. Hanke} and \textit{R. März}, Numer. Algorithms 89, No. 3, 931--963 (2022; Zbl 1484.65164) Full Text: DOI
Petkov, Petko H.; Konstantinov, Mihail M. The numerical Jordan form. (English) Zbl 1482.65059 Linear Algebra Appl. 638, 1-45 (2022). MSC: 65F15 65F22 15A20 15A21 47A55 PDFBibTeX XMLCite \textit{P. H. Petkov} and \textit{M. M. Konstantinov}, Linear Algebra Appl. 638, 1--45 (2022; Zbl 1482.65059) Full Text: DOI
Abdelhamid, Talaat; Chen, Rongliang; Alam, Md. Mahbub Nonlinear conjugate gradient method for identifying Young’s modulus of the elasticity imaging inverse problem. (English) Zbl 07480128 Inverse Probl. Sci. Eng. 29, No. 12, 2165-2185 (2021). MSC: 65N20 65N30 65N21 PDFBibTeX XMLCite \textit{T. Abdelhamid} et al., Inverse Probl. Sci. Eng. 29, No. 12, 2165--2185 (2021; Zbl 07480128) Full Text: DOI
Huntul, M. J.; Dhiman, Neeraj; Tamsir, Mohammad Reconstructing an unknown potential term in the third-order pseudo-parabolic problem. (English) Zbl 1476.65219 Comput. Appl. Math. 40, No. 4, Paper No. 140, 18 p. (2021). MSC: 65M32 65M22 65M30 35K70 PDFBibTeX XMLCite \textit{M. J. Huntul} et al., Comput. Appl. Math. 40, No. 4, Paper No. 140, 18 p. (2021; Zbl 1476.65219) Full Text: DOI
Huntul, M. J.; Tamsir, Mohammad Recovery of timewise-dependent heat source for hyperbolic PDE from an integral condition. (English) Zbl 1486.65151 Math. Methods Appl. Sci. 44, No. 2, 1470-1483 (2021). MSC: 65M32 65M30 65K10 65J20 35L20 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{M. J. Huntul} and \textit{M. Tamsir}, Math. Methods Appl. Sci. 44, No. 2, 1470--1483 (2021; Zbl 1486.65151) Full Text: DOI
Yadav, Rahul; Tripathi, Swapnil; Asati, Shailendra; Das, Malay K. A combined neural network and simulated annealing based inverse technique to optimize the heat source control parameters in heat treatment furnaces. (English) Zbl 1466.80009 Inverse Probl. Sci. Eng. 28, No. 9, 1265-1286 (2020). MSC: 80A23 80M50 65K10 65N21 68T05 35R30 35R25 92B20 PDFBibTeX XMLCite \textit{R. Yadav} et al., Inverse Probl. Sci. Eng. 28, No. 9, 1265--1286 (2020; Zbl 1466.80009) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. (English) Zbl 1475.65175 Inverse Probl. Sci. Eng. 28, No. 7, 950-967 (2020). MSC: 65N21 65N20 65N80 65N35 65K10 65J20 76D07 76M21 35Q35 35R30 35R25 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{D. Lesnic}, Inverse Probl. Sci. Eng. 28, No. 7, 950--967 (2020; Zbl 1475.65175) Full Text: DOI Link
Foadian, Saedeh; Pourgholi, Reza; Tabasi, S. Hashem; Zeidabadi, Hamed Solving an inverse problem for a generalized time-delayed Burgers-Fisher equation by Haar wavelet method. (English) Zbl 1459.65218 J. Appl. Anal. Comput. 10, No. 2, 391-410 (2020). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N21 65N20 65J20 65N15 65N12 65T60 65M32 35K05 35R30 35R25 35R07 35Q53 PDFBibTeX XMLCite \textit{S. Foadian} et al., J. Appl. Anal. Comput. 10, No. 2, 391--410 (2020; Zbl 1459.65218) Full Text: DOI
Shivanian, Elyas Completion of right-hand side in the frame of inverse Cauchy problem of elliptic type equation through homogenization meshless collocation method. (English) Zbl 1465.65120 Appl. Numer. Math. 156, 493-513 (2020). MSC: 65N21 65N20 65N12 65N15 65M70 35B27 35A02 35J15 35R30 PDFBibTeX XMLCite \textit{E. Shivanian}, Appl. Numer. Math. 156, 493--513 (2020; Zbl 1465.65120) Full Text: DOI
Berger, Julien; Busser, Thomas; Dutykh, Denys; Mendes, Nathan An efficient method to estimate sorption isotherm curve coefficients. (English) Zbl 1483.65148 Inverse Probl. Sci. Eng. 27, No. 6, 735-772 (2019). MSC: 65M32 65M30 65M06 65L06 65K10 35Q79 80A23 93B30 93B35 35R30 35R25 PDFBibTeX XMLCite \textit{J. Berger} et al., Inverse Probl. Sci. Eng. 27, No. 6, 735--772 (2019; Zbl 1483.65148) Full Text: DOI arXiv
Zhang, Yong-Fu; Li, Chong-Jun A class of multistep numerical difference schemes applied in inverse heat conduction problem with a control parameter. (English) Zbl 1475.65114 Inverse Probl. Sci. Eng. 27, No. 7, 887-942 (2019). Reviewer: Christian Clason (Graz) MSC: 65M32 65M30 80A23 65M06 65J20 65M15 65M12 65D05 65D07 65K10 35R30 PDFBibTeX XMLCite \textit{Y.-F. Zhang} and \textit{C.-J. Li}, Inverse Probl. Sci. Eng. 27, No. 7, 887--942 (2019; Zbl 1475.65114) Full Text: DOI
Bin-Mohsin, B.; Lesnic, D. Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229 Appl. Comput. Math. 18, No. 3, 272-287 (2019). MSC: 65N21 65N35 65N80 65N20 65J20 65K10 35J05 35K57 PDFBibTeX XMLCite \textit{B. Bin-Mohsin} and \textit{D. Lesnic}, Appl. Comput. Math. 18, No. 3, 272--287 (2019; Zbl 1434.65229) Full Text: Link
Karageorghis, Andreas; Lesnic, Daniel The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. (English) Zbl 1430.76390 Numer. Methods Partial Differ. Equations 35, No. 6, 2103-2119 (2019). MSC: 76M21 76D07 65N80 65N21 65N20 65K10 35R30 35Q35 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{D. Lesnic}, Numer. Methods Partial Differ. Equations 35, No. 6, 2103--2119 (2019; Zbl 1430.76390) Full Text: DOI
Garshasbi, Morteza Determination of unknown functions in a mathematical model of ductal carcinoma in situ. (English) Zbl 1430.35231 Numer. Methods Partial Differ. Equations 35, No. 6, 2000-2016 (2019). MSC: 35Q92 92C37 35R30 35B35 92C50 35A02 65M32 65M30 65M06 65J20 35B65 65M12 65M25 65D30 35R60 PDFBibTeX XMLCite \textit{M. Garshasbi}, Numer. Methods Partial Differ. Equations 35, No. 6, 2000--2016 (2019; Zbl 1430.35231) Full Text: DOI
Aminikhah, Hossein; Yousefi, Mahsa A special generalized HSS method for discrete ill-posed problems. (English) Zbl 1405.65041 Comput. Appl. Math. 37, No. 2, 1507-1523 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 94A08 65F22 15B57 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{M. Yousefi}, Comput. Appl. Math. 37, No. 2, 1507--1523 (2018; Zbl 1405.65041) Full Text: DOI
Sanders, Toby Parameter selection for HOTV regularization. (English) Zbl 1379.65032 Appl. Numer. Math. 125, 1-9 (2018). MSC: 65J20 47A52 65J22 65J10 65D18 PDFBibTeX XMLCite \textit{T. Sanders}, Appl. Numer. Math. 125, 1--9 (2018; Zbl 1379.65032) Full Text: DOI arXiv
Karageorghis, A.; Lesnic, D.; Marin, L. The plane waves method for numerical boundary identification. (English) Zbl 1488.65585 Adv. Appl. Math. Mech. 9, No. 6, 1312-1329 (2017). MSC: 65N21 65N38 65N80 65J20 35A15 35R30 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Adv. Appl. Math. Mech. 9, No. 6, 1312--1329 (2017; Zbl 1488.65585) Full Text: DOI
Tuan, Nguyen Huy; Long, Le Dinh; Nguyen, Van Thinh; Tran, Thanh On a final value problem for the time-fractional diffusion equation with inhomogeneous source. (English) Zbl 1398.65240 Inverse Probl. Sci. Eng. 25, No. 9, 1367-1395 (2017). MSC: 65M32 35R11 35K05 47A52 62G08 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Inverse Probl. Sci. Eng. 25, No. 9, 1367--1395 (2017; Zbl 1398.65240) Full Text: DOI
Smirnova, Alexandra; Chowell-Puente, Gerardo; deCamp, Linda; Moghadas, Seyed; Sheppard, Michael Jameson Improving epidemic size prediction through stable reconstruction of disease parameters by reduced iteratively regularized Gauss-Newton algorithm. (English) Zbl 06786069 J. Inverse Ill-Posed Probl. 25, No. 5, 653-667 (2017). MSC: 47A52 65F22 PDFBibTeX XMLCite \textit{A. Smirnova} et al., J. Inverse Ill-Posed Probl. 25, No. 5, 653--667 (2017; Zbl 06786069) Full Text: DOI
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar Iterated Tikhonov regularization with a general penalty term. (English) Zbl 1424.65045 Numer. Linear Algebra Appl. 24, No. 4, e2089, 12 p. (2017). Reviewer: Guangxin Huang (Chengdu) MSC: 65F22 65F10 65R30 PDFBibTeX XMLCite \textit{A. Buccini} et al., Numer. Linear Algebra Appl. 24, No. 4, e2089, 12 p. (2017; Zbl 1424.65045) Full Text: DOI
Wu, Wenyuan; Zeng, Zhonggang The numerical factorization of polynomials. (English) Zbl 1454.65031 Found. Comput. Math. 17, No. 1, 259-286 (2017). MSC: 65H04 12-08 13P05 65J20 65F22 PDFBibTeX XMLCite \textit{W. Wu} and \textit{Z. Zeng}, Found. Comput. Math. 17, No. 1, 259--286 (2017; Zbl 1454.65031) Full Text: DOI arXiv
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
Bleichrodt, Folkert; van Leeuwen, Tristan; Palenstijn, Willem Jan; van Aarle, Wim; Sijbers, Jan; Batenburg, K. Joost Easy implementation of advanced tomography algorithms using the ASTRA toolbox with spot operators. (English) Zbl 1335.65099 Numer. Algorithms 71, No. 3, 673-697 (2016). MSC: 65R10 44A12 92C55 65Y15 65F10 65F22 65F50 65R30 PDFBibTeX XMLCite \textit{F. Bleichrodt} et al., Numer. Algorithms 71, No. 3, 673--697 (2016; Zbl 1335.65099) Full Text: DOI Link
Nakamura, Gen; Potthast, Roland Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. (English) Zbl 1346.65029 Bristol: IOP Publishing (ISBN 978-0-7503-1219-6/hbk; 978-0-7503-1218-9/ebook). not consecutively paged. (2015). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 65-02 47A52 65M32 00A71 62-07 35R30 45Q05 65J20 65J10 65J15 76Q05 78A40 86A05 92C55 62K99 PDFBibTeX XMLCite \textit{G. Nakamura} and \textit{R. Potthast}, Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Bristol: IOP Publishing (2015; Zbl 1346.65029) Full Text: DOI
Wang, Jun-Gang; Wei, Ting; Zhou, Yu-Bin Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation. (English) Zbl 1306.65260 J. Comput. Appl. Math. 279, 277-292 (2015). MSC: 65M32 35K05 35R11 65M12 65M15 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{J.-G. Wang} et al., J. Comput. Appl. Math. 279, 277--292 (2015; Zbl 1306.65260) Full Text: DOI
Bartels, Sören Numerical methods for nonlinear partial differential equations. (English) Zbl 1314.65003 Springer Series in Computational Mathematics 47. Cham: Springer (ISBN 978-3-319-13796-4/hbk; 978-3-319-13797-1/ebook). x, 393 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-02 65M60 65N30 74G65 74S05 80M30 65M30 65N20 PDFBibTeX XMLCite \textit{S. Bartels}, Numerical methods for nonlinear partial differential equations. Cham: Springer (2015; Zbl 1314.65003) Full Text: DOI
Rostamy, Davood; Karimi, Kobra A new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems. (English) Zbl 1356.80071 Int. J. Numer. Methods Heat Fluid Flow 24, No. 3, 669-678 (2014). MSC: 80M25 65M30 65M70 80A23 PDFBibTeX XMLCite \textit{D. Rostamy} and \textit{K. Karimi}, Int. J. Numer. Methods Heat Fluid Flow 24, No. 3, 669--678 (2014; Zbl 1356.80071) Full Text: DOI
Noschese, Silvia; Reichel, Lothar A modified truncated singular value decomposition method for discrete ill-posed problems. (English) Zbl 1340.65070 Numer. Linear Algebra Appl. 21, No. 6, 813-822 (2014). MSC: 65F22 15A18 65F15 65F20 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 6, 813--822 (2014; Zbl 1340.65070) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 5, 589--603 (2014; Zbl 1340.65069) Full Text: DOI
Viloche Bazán, Fermín S.; Cunha, Maria C. C.; Borges, Leonardo S. Extension of GKB-FP algorithm to large-scale general-form Tikhonov regularization. (English) Zbl 1340.65071 Numer. Linear Algebra Appl. 21, No. 3, 316-339 (2014). MSC: 65F22 65F35 65F08 PDFBibTeX XMLCite \textit{F. S. Viloche Bazán} et al., Numer. Linear Algebra Appl. 21, No. 3, 316--339 (2014; Zbl 1340.65071) Full Text: DOI
Choi, Sou-Cheng T.; Saunders, Michael A. Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. (English) Zbl 1305.65117 ACM Trans. Math. Softw. 40, No. 2, Article No. 16, 12 p. (2014). MSC: 65F10 65F20 65F50 PDFBibTeX XMLCite \textit{S.-C. T. Choi} and \textit{M. A. Saunders}, ACM Trans. Math. Softw. 40, No. 2, Article No. 16, 12 p. (2014; Zbl 1305.65117) Full Text: DOI arXiv
Kamranian, Maryam; Dehghan, Mehdi; Tatari, Mehdi An image denoising approach based on a meshfree method and the domain decomposition technique. (English) Zbl 1297.65113 Eng. Anal. Bound. Elem. 39, 101-110 (2014). MSC: 65M30 65M55 94A08 PDFBibTeX XMLCite \textit{M. Kamranian} et al., Eng. Anal. Bound. Elem. 39, 101--110 (2014; Zbl 1297.65113) Full Text: DOI
Wei, Ting; Zhang, Zheng-Qiang Stable numerical solution to a Cauchy problem for a time fractional diffusion equation. (English) Zbl 1297.65115 Eng. Anal. Bound. Elem. 40, 128-137 (2014). MSC: 65M30 65R20 45D05 35R30 35K57 35R11 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Z.-Q. Zhang}, Eng. Anal. Bound. Elem. 40, 128--137 (2014; Zbl 1297.65115) Full Text: DOI
Boţ, Radu Ioan; Heinrich, André; Wanka, Gert Employing different loss functions for the classification of images via supervised learning. (English) Zbl 1305.49044 Cent. Eur. J. Math. 12, No. 2, 381-394 (2014). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 49N15 47A52 90C25 62H30 93E35 68T05 68U10 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Cent. Eur. J. Math. 12, No. 2, 381--394 (2014; Zbl 1305.49044) Full Text: DOI
Ivanov, Andrey Aleksandrovich; Zhdanov, Aleksandr Ivanovich Kaczmarz algorithm for Tikhonov regularization problem. (English) Zbl 1288.65056 Appl. Math. E-Notes 13, 270-276 (2013). MSC: 65F22 PDFBibTeX XMLCite \textit{A. A. Ivanov} and \textit{A. I. Zhdanov}, Appl. Math. E-Notes 13, 270--276 (2013; Zbl 1288.65056) Full Text: EMIS
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut; Wang, Han Mathematical and statistical methods for multistatic imaging. (English) Zbl 1288.35001 Lecture Notes in Mathematics 2098. Cham: Springer (ISBN 978-3-319-02584-1/pbk; 978-3-319-02585-8/ebook). xvii, 361 p. (2013). Reviewer: Alexander G. Ramm (Manhattan, KS) MSC: 35-02 35R30 35B30 35R60 35R25 PDFBibTeX XMLCite \textit{H. Ammari} et al., Mathematical and statistical methods for multistatic imaging. Cham: Springer (2013; Zbl 1288.35001) Full Text: DOI
Huckle, T.; Sedlacek, M. Data based regularization for discrete deconvolution problems. (English) Zbl 1266.65066 BIT 53, No. 2, 459-473 (2013). MSC: 65F22 65F08 65R30 PDFBibTeX XMLCite \textit{T. Huckle} and \textit{M. Sedlacek}, BIT 53, No. 2, 459--473 (2013; Zbl 1266.65066) 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 PDFBibTeX XMLCite \textit{P. Novati} et al., Appl. Numer. Math. 62, No. 12, 1804--1818 (2012; Zbl 1255.65075) Full Text: DOI arXiv
Hào, Dinh Nho; Chuong, La Huu; Lesnic, Daniel Heuristic regularization methods for numerical differentiation. (English) Zbl 1247.65028 Comput. Math. Appl. 63, No. 4, 816-826 (2012). MSC: 65D25 65J20 PDFBibTeX XMLCite \textit{D. N. Hào} et al., Comput. Math. Appl. 63, No. 4, 816--826 (2012; Zbl 1247.65028) 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 PDFBibTeX XMLCite \textit{T. K. Huckle} and \textit{M. Sedlacek}, Numer. Algorithms 60, No. 2, 339--353 (2012; Zbl 1245.65049) Full Text: DOI
Cebers, Andrejs; Kalis, Harijs Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field. (English) Zbl 1242.78019 Math. Model. Anal. 17, No. 1, 47-57 (2012). MSC: 78A55 76W05 78M20 65M06 65M20 65M70 65N06 65F22 65H10 65L05 PDFBibTeX XMLCite \textit{A. Cebers} and \textit{H. Kalis}, Math. Model. Anal. 17, No. 1, 47--57 (2012; Zbl 1242.78019) 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 PDFBibTeX XMLCite \textit{A. Neuman} et al., Numer. Algorithms 59, No. 2, 325--331 (2012; Zbl 1236.65040) Full Text: DOI
Baranger, T. N.; Andrieux, S. Constitutive law gap functionals for solving the Cauchy problem for linear elliptic PDE. (English) Zbl 1269.65094 Appl. Math. Comput. 218, No. 5, 1970-1989 (2011). MSC: 65M32 35J05 PDFBibTeX XMLCite \textit{T. N. Baranger} and \textit{S. Andrieux}, Appl. Math. Comput. 218, No. 5, 1970--1989 (2011; Zbl 1269.65094) Full Text: DOI
Gzyl, Henryk; Velásquez, Yurayh Linear inverse problems. The maximum entropy connection. With CD-ROM. (English) Zbl 1255.65110 Series on Advances in Mathematics for Applied Sciences 83. Hackensack, NJ: World Scientific (ISBN 978-981-4338-77-6/hbk; 978-981-4338-78-3/ebook). xxi, 326 p. (2011). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-02 60-01 65F22 65J20 65M30 65M32 65J10 44A10 44A12 65R10 45A05 65R20 44A60 65N21 PDFBibTeX XMLCite \textit{H. Gzyl} and \textit{Y. Velásquez}, Linear inverse problems. The maximum entropy connection. With CD-ROM. Hackensack, NJ: World Scientific (2011; Zbl 1255.65110) Full Text: Link
Fan, Ying Wai (Daniel); Nagy, James G. Synthetic boundary conditions for image deblurring. (English) Zbl 1210.94013 Linear Algebra Appl. 434, No. 11, 2244-2268 (2011). Reviewer: Denis Sidorov (Irkutsk) MSC: 94A08 47A52 68U10 PDFBibTeX XMLCite \textit{Y. W. Fan} and \textit{J. G. Nagy}, Linear Algebra Appl. 434, No. 11, 2244--2268 (2011; Zbl 1210.94013) Full Text: DOI
Sen, S. K.; Agarwal, Ravi P. Central difference limit for derivatives of ill-posed functions: Best approach in supercomputing era. (English) Zbl 1204.65023 Appl. Math. Comput. 217, No. 7, 3338-3348 (2010). MSC: 65D25 65Y20 68W30 PDFBibTeX XMLCite \textit{S. K. Sen} and \textit{R. P. Agarwal}, Appl. Math. Comput. 217, No. 7, 3338--3348 (2010; Zbl 1204.65023) Full Text: DOI
Hansen, Per Christian Discrete inverse problems. Insight and algorithms. (English) Zbl 1197.65054 Fundamentals of Algorithms 7. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-96-2/pbk; 978-0-89871-883-6/ebook). xii, 213 p. (2010). Reviewer: Robert Plato (Siegen) MSC: 65J10 65-02 45B05 47A52 65F22 65J20 65J22 65R30 65R32 PDFBibTeX XMLCite \textit{P. C. Hansen}, Discrete inverse problems. Insight and algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1197.65054) Full Text: DOI
Mead, Jodi L.; Renaut, Rosemary A. Least squares problems with inequality constraints as quadratic constraints. (English) Zbl 1185.65068 Linear Algebra Appl. 432, No. 8, 1936-1949 (2010). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{J. L. Mead} and \textit{R. A. Renaut}, Linear Algebra Appl. 432, No. 8, 1936--1949 (2010; Zbl 1185.65068) Full Text: DOI Link
Li, Li; Han, Bo A dynamical system method for solving nonlinear ill-posed problems. (English) Zbl 1146.65049 Appl. Math. Comput. 197, No. 1, 399-406 (2008). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J06 65R20 45G10 PDFBibTeX XMLCite \textit{L. Li} and \textit{B. Han}, Appl. Math. Comput. 197, No. 1, 399--406 (2008; Zbl 1146.65049) Full Text: DOI
Hansen, Per Christian Regularization tools version \(4.0\) for matlab \(7.3\). (English) Zbl 1128.65029 Numer. Algorithms 46, No. 2, 189-194 (2007). MSC: 65F22 65Y15 PDFBibTeX XMLCite \textit{P. C. Hansen}, Numer. Algorithms 46, No. 2, 189--194 (2007; Zbl 1128.65029) Full Text: DOI
Firsov, D.; Lui, S. H. A fast deblurring algorithm. (English) Zbl 1104.65326 Appl. Math. Comput. 183, No. 1, 285-291 (2006). MSC: 65R20 35R25 35K05 35R30 94A08 45E10 PDFBibTeX XMLCite \textit{D. Firsov} and \textit{S. H. Lui}, Appl. Math. Comput. 183, No. 1, 285--291 (2006; Zbl 1104.65326) Full Text: DOI
Bakushinsky, A. B.; Khan, T.; Smirnova, A. Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods. (English) Zbl 1090.65146 J. Inverse Ill-Posed Probl. 13, No. 3-6, 57-551 (2005). MSC: 65R20 45K05 45Q05 92C55 PDFBibTeX XMLCite \textit{A. B. Bakushinsky} et al., J. Inverse Ill-Posed Probl. 13, No. 3--6, 57--551 (2005; Zbl 1090.65146) Full Text: DOI
Li, Gongsheng; Liu, Yan A new regularizing algorithm for solving the first kind of Fredholm integral equations. (English) Zbl 1106.65118 J. Math. Res. Expo. 25, No. 2, 204-210 (2005). Reviewer: C. L. Parihar (Indore) MSC: 65R20 45B05 65J20 65R30 65J10 47A52 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Liu}, J. Math. Res. Expo. 25, No. 2, 204--210 (2005; Zbl 1106.65118)
Nagy, James G.; Palmer, Katrina; Perrone, Lisa Iterative methods for image deblurring: A Matlab object-oriented approach. (English) Zbl 1048.65039 Numer. Algorithms 36, No. 1, 73-93 (2004). MSC: 65F22 65F35 94A08 68W30 PDFBibTeX XMLCite \textit{J. G. Nagy} et al., Numer. Algorithms 36, No. 1, 73--93 (2004; Zbl 1048.65039) Full Text: DOI
Morigi, S.; Sgallari, F. A regularizing L-curve Lanczos method for underdetermined linear systems. (English) Zbl 1024.65035 Appl. Math. Comput. 121, No. 1, 55-73 (2001). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Morigi} and \textit{F. Sgallari}, Appl. Math. Comput. 121, No. 1, 55--73 (2001; Zbl 1024.65035) Full Text: DOI
Formiconi, A. R.; Loli Piccolomini, E.; Martini, S.; Zama, F.; Zanghirati, G. Numerical methods and software for functional magnetic resonance images reconstruction. (English) Zbl 0986.65134 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, Suppl., 87-102, IV-VI (2000). Reviewer: Nikolai Pleshchinskii (Kazan) MSC: 65R20 65T40 65R30 45B05 68U10 65R32 PDFBibTeX XMLCite \textit{A. R. Formiconi} et al., Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, 87--102, IV-VI (2000; Zbl 0986.65134)
Schott, Dieter Signal reconstruction from given phase of the Fourier transform using Fejér monotone methods. (English) Zbl 1013.94512 Discuss. Math., Differ. Incl. Control Optim. 20, No. 1, 27-40 (2000). MSC: 94A12 65T50 65J15 49M20 65J20 PDFBibTeX XMLCite \textit{D. Schott}, Discuss. Math., Differ. Incl. Control Optim. 20, No. 1, 27--40 (2000; Zbl 1013.94512) Full Text: DOI
Groetsch, Charles W. Inverse problems. Activities for undergraduates. (English) Zbl 1011.00003 Washington, DC: The Mathematical Association of America. xii, 222 p. (1999). Reviewer: Bernd Hofmann (Chemnitz) MSC: 00A05 34A55 35R30 00A35 65J20 65R30 PDFBibTeX XMLCite \textit{C. W. Groetsch}, Inverse problems. Activities for undergraduates. Washington, DC: The Mathematical Association of America (1999; Zbl 1011.00003)
Kilmer, Misha E.; O’Leary, Dianne P. Pivoted Cauchy-like preconditioners for regularized solution of ill-posed problems. (English) Zbl 0946.65139 SIAM J. Sci. Comput. 21, No. 1, 88-110 (1999). Reviewer: Nikolai Pleshchinskii (Kazan’) MSC: 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{M. E. Kilmer} and \textit{D. P. O'Leary}, SIAM J. Sci. Comput. 21, No. 1, 88--110 (1999; Zbl 0946.65139) Full Text: DOI
Hansen, Per Christian Regularization Tools Version 3. 0 for Matlab 5. 2. (English) Zbl 0933.65065 Numer. Algorithms 20, No. 2-3, 195-196 (1999). MSC: 65J20 65J22 45B05 47A52 65R30 65R32 65Y15 PDFBibTeX XMLCite \textit{P. C. Hansen}, Numer. Algorithms 20, No. 2--3, 195--196 (1999; Zbl 0933.65065) Full Text: DOI
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI
Golub, Gene H.; von Matt, Urs Generalized cross-validation for large scale problems. (English) Zbl 0878.65032 Van Huffel, Sabine (ed.), Recent advances in total least squares techniques and errors-in-variables modeling. Proceedings of the 2nd international workshop on total least squares and errors-in-variables modeling, Leuven, Belgium, August 21-24, 1996. Philadelphia, PA: Society for Industrial and Applied Mathematics, SIAM. 139-148 (1997). MSC: 65F20 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{U. von Matt}, in: Recent advances in total least squares techniques and errors-in-variables modeling. Proceedings of the 2nd international workshop on total least squares and errors-in-variables modeling, Leuven, Belgium, August 21-24, 1996. Philadelphia, PA: Society for Industrial and Applied Mathematics, SIAM. 139--148 (1997; Zbl 0878.65032)
He, C. On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control. (English) Zbl 0882.65032 Numer. Math. 76, No. 4, 463-477 (1997). Reviewer: W.Govaerts (Gent) MSC: 65F35 15A24 93B55 93B05 PDFBibTeX XMLCite \textit{C. He}, Numer. Math. 76, No. 4, 463--477 (1997; Zbl 0882.65032) Full Text: DOI
Hansen, Per Christian Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. (English) Zbl 0789.65029 Numer. Algorithms 6, No. 1-2, 1-35 (1994). Reviewer: V.Burjan (Praha) MSC: 65F20 65R30 65F15 65R20 65F30 45B05 PDFBibTeX XMLCite \textit{P. C. Hansen}, Numer. Algorithms 6, No. 1--2, 1--35 (1994; Zbl 0789.65029) Full Text: DOI
Rodriguez, Giuseppe; Seatzu, Sebastiano Approximation methods for the finite moment problem. (English) Zbl 0804.65135 Numer. Algorithms 5, No. 1-4, 391-405 (1993). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65R10 65R30 44A60 PDFBibTeX XMLCite \textit{G. Rodriguez} and \textit{S. Seatzu}, Numer. Algorithms 5, No. 1--4, 391--405 (1993; Zbl 0804.65135) Full Text: DOI