Rabelo, J. C.; Leitão, A.; Madureira, A. L. On inertial iterated Tikhonov methods for solving ill-posed problems. (English) Zbl 07805846 Inverse Probl. 40, No. 3, Article ID 035002, 27 p. (2024). MSC: 65J20 65J15 47A52 65J10 PDFBibTeX XMLCite \textit{J. C. Rabelo} et al., Inverse Probl. 40, No. 3, Article ID 035002, 27 p. (2024; Zbl 07805846) Full Text: DOI arXiv
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation. (English) Zbl 07804043 Comput. Methods Appl. Math. 24, No. 1, 265-278 (2024). MSC: 35R30 35R11 47A52 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Comput. Methods Appl. Math. 24, No. 1, 265--278 (2024; Zbl 07804043) Full Text: DOI
Rajan, M. P.; Jose, Jaise An efficient discretization scheme for solving nonlinear ill-posed problems. (English) Zbl 07804039 Comput. Methods Appl. Math. 24, No. 1, 173-184 (2024). MSC: 65J10 65J20 65J22 PDFBibTeX XMLCite \textit{M. P. Rajan} and \textit{J. Jose}, Comput. Methods Appl. Math. 24, No. 1, 173--184 (2024; Zbl 07804039) Full Text: DOI
Salehi Shayegan, Amir Hossein; Zakeri, Ali; Salehi Shayegan, Adib Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 07803165 J. Inverse Ill-Posed Probl. 32, No. 1, 107-126 (2024). MSC: 65M32 65M30 65M60 65M06 65N30 65H10 65K10 47A52 35R30 35R25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 107--126 (2024; Zbl 07803165) Full Text: DOI
Zhang, Ye; Chen, Chuchu Stochastic linear regularization methods: random discrepancy principle and applications. (English) Zbl 07790258 Inverse Probl. 40, No. 2, Article ID 025007, 30 p. (2024). MSC: 65J20 65J10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{C. Chen}, Inverse Probl. 40, No. 2, Article ID 025007, 30 p. (2024; Zbl 07790258) Full Text: DOI
Askham, Travis; Borges, Carlos; Hoskins, Jeremy; Rachh, Manas Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data. (English) Zbl 07784049 J. Sci. Comput. 98, No. 1, Paper No. 15, 26 p. (2024). MSC: 65N21 76Q05 35J05 49M41 65H10 65K10 65F05 65F22 35R30 35R25 PDFBibTeX XMLCite \textit{T. Askham} et al., J. Sci. Comput. 98, No. 1, Paper No. 15, 26 p. (2024; Zbl 07784049) Full Text: DOI arXiv
Nasiri, T.; Zakeri, A.; Aminataei, A. A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088 J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M06 65T60 65K10 65J20 65F22 65M12 65M15 60G22 35A15 41A50 35A01 35A02 35R30 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{T. Nasiri} et al., J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024; Zbl 1527.65088) Full Text: DOI
Ageev, A. L.; Antonova, T. V. On the localization of fractal lines of discontinuity from noisy data. (English. Russian original) Zbl 07806532 Russ. Math. 67, No. 9, 23-38 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 27-44 (2023). MSC: 65J20 65J10 47A50 PDFBibTeX XMLCite \textit{A. L. Ageev} and \textit{T. V. Antonova}, Russ. Math. 67, No. 9, 23--38 (2023; Zbl 07806532); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 27--44 (2023) Full Text: DOI
Glasko, Y. V. Diffusion process for the domain-source. (English) Zbl 07792123 Lobachevskii J. Math. 44, No. 8, 3059-3067 (2023). MSC: 65J10 35R30 65J20 35Q60 35R35 39A70 PDFBibTeX XMLCite \textit{Y. V. Glasko}, Lobachevskii J. Math. 44, No. 8, 3059--3067 (2023; Zbl 07792123) Full Text: DOI
Liu, Songshu Filter regularization method for inverse source problem of the Rayleigh-Stokes equation. (English) Zbl 07788909 Taiwanese J. Math. 27, No. 5, 847-861 (2023). MSC: 35R25 35R30 35R11 35K20 47A52 65M32 PDFBibTeX XMLCite \textit{S. Liu}, Taiwanese J. Math. 27, No. 5, 847--861 (2023; Zbl 07788909) Full Text: DOI
Al-Jamal, Mohammad F. Homotopy analysis method for solving the backward problem for the time-fractional diffusion equation. (English) Zbl 07784640 Jordan J. Math. Stat. 16, No. 4, 763-788 (2023). MSC: 35R11 65F22 65J22 47A52 35R30 PDFBibTeX XMLCite \textit{M. F. Al-Jamal}, Jordan J. Math. Stat. 16, No. 4, 763--788 (2023; Zbl 07784640) Full Text: DOI
Wu, Shu-Lin; Wang, Zhiyong; Zhou, Tao PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 07783213 SIAM J. Matrix Anal. Appl. 44, No. 4, 1771-1798 (2023). MSC: 65M55 65F08 65F10 65F22 65F15 65J20 65H10 49M41 65M06 65L06 65M12 65M15 65Y05 15B05 93B05 93B20 PDFBibTeX XMLCite \textit{S.-L. Wu} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1771--1798 (2023; Zbl 07783213) Full Text: DOI
Dassios, Ioannis; Kërçi, Taulant; Baleanu, Dumitru; Milano, Federico Fractional-order dynamical model for electricity markets. (English) Zbl 07782486 Math. Methods Appl. Sci. 46, No. 7, 8349-8361 (2023). MSC: 34A08 34A30 65L08 26A33 91B74 PDFBibTeX XMLCite \textit{I. Dassios} et al., Math. Methods Appl. Sci. 46, No. 7, 8349--8361 (2023; Zbl 07782486) Full Text: DOI OA License
Au, Vo Van Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations. (English) Zbl 07782173 Z. Angew. Math. Phys. 74, No. 6, Paper No. 247, 28 p. (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B40 35K35 35K58 35R25 47A52 65N21 PDFBibTeX XMLCite \textit{V. Van Au}, Z. Angew. Math. Phys. 74, No. 6, Paper No. 247, 28 p. (2023; Zbl 07782173) Full Text: DOI
Mesgarani, H.; Parmour, P. Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration. (English) Zbl 07777618 Math. Sci., Springer 17, No. 4, 371-378 (2023). MSC: 65R32 65R30 65R20 47A52 65D32 45B05 45Q05 68U10 PDFBibTeX XMLCite \textit{H. Mesgarani} and \textit{P. Parmour}, Math. Sci., Springer 17, No. 4, 371--378 (2023; Zbl 07777618) Full Text: DOI
Hofmann, Bernd; Fischer, Hans-Jürgen A note on the degree of ill-posedness for mixed differentiation on the \(d\)-dimensional unit cube. (English) Zbl 07773436 J. Inverse Ill-Posed Probl. 31, No. 6, 949-957 (2023). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 47B06 65R30 45C05 45P05 PDFBibTeX XMLCite \textit{B. Hofmann} and \textit{H.-J. Fischer}, J. Inverse Ill-Posed Probl. 31, No. 6, 949--957 (2023; Zbl 07773436) Full Text: DOI arXiv
Bechouat, T. An implicit iteration method for solving linear ill-posed operator equations. (Russian. English summary) Zbl 07771100 Sib. Zh. Vychisl. Mat. 26, No. 2, 115-134 (2023). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{T. Bechouat}, Sib. Zh. Vychisl. Mat. 26, No. 2, 115--134 (2023; Zbl 07771100) Full Text: DOI MNR
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik Weighted sparsity regularization for source identification for elliptic PDEs. (English) Zbl 1526.35316 J. Inverse Ill-Posed Probl. 31, No. 5, 687-709 (2023). MSC: 35R30 35J25 47A52 65F22 65M32 PDFBibTeX XMLCite \textit{O. L. Elvetun} and \textit{B. F. Nielsen}, J. Inverse Ill-Posed Probl. 31, No. 5, 687--709 (2023; Zbl 1526.35316) Full Text: DOI arXiv
George, Santhosh; Jidesh, P.; Krishnendu, R. Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle. (English) Zbl 07753867 Rend. Circ. Mat. Palermo (2) 72, No. 7, 3765-3787 (2023). MSC: 65F10 65F22 65R30 PDFBibTeX XMLCite \textit{S. George} et al., Rend. Circ. Mat. Palermo (2) 72, No. 7, 3765--3787 (2023; Zbl 07753867) Full Text: DOI
Rajan, M. P.; Salam, Niloopher A modified steepest descent scheme for solving a class of parameter identification problems. (English) Zbl 1526.65018 Result. Math. 78, No. 6, Paper No. 235, 22 p. (2023). MSC: 65J10 65J20 65J22 47L10 PDFBibTeX XMLCite \textit{M. P. Rajan} and \textit{N. Salam}, Result. Math. 78, No. 6, Paper No. 235, 22 p. (2023; Zbl 1526.65018) Full Text: DOI
Klinkhammer, C.; Plato, R. Analysis of the discrepancy principle for Tikhonov regularization with oversmoothing penalty term under low order source conditions. (English) Zbl 07749157 Inverse Probl. 39, No. 10, Article ID 105014, 16 p. (2023). MSC: 65Jxx 35Rxx 45-XX PDFBibTeX XMLCite \textit{C. Klinkhammer} and \textit{R. Plato}, Inverse Probl. 39, No. 10, Article ID 105014, 16 p. (2023; Zbl 07749157) Full Text: DOI arXiv OA License
Bechouat, Tahar; Boussetila, Nadjib Numerical solution of the two-dimensional first kind Fredholm integral equations using a regularized collocation method. (English) Zbl 07735383 Comput. Appl. Math. 42, No. 6, Paper No. 267, 16 p. (2023). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{T. Bechouat} and \textit{N. Boussetila}, Comput. Appl. Math. 42, No. 6, Paper No. 267, 16 p. (2023; Zbl 07735383) Full Text: DOI
Ge, Meibao; Xu, Dinghua Biparametric identification for a free boundary of ductal carcinoma in situ. (English) Zbl 1522.35516 Appl. Anal. 102, No. 10, 2774-2794 (2023). MSC: 35Q92 92C37 92C32 92C50 35R30 35R35 35R60 35A01 35A02 35K05 65K10 90C56 65M32 65M30 65F22 65J20 65M06 PDFBibTeX XMLCite \textit{M. Ge} and \textit{D. Xu}, Appl. Anal. 102, No. 10, 2774--2794 (2023; Zbl 1522.35516) Full Text: DOI
Ollivier, François Jacobi’s bound: Jacobi’s results translated in Kőnig’s, Egerváry’s and Ritt’s mathematical languages. (English) Zbl 1520.12004 Appl. Algebra Eng. Commun. Comput. 34, No. 5, 793-885 (2023). MSC: 12H05 65-03 65L80 65L08 90C05 90C27 PDFBibTeX XMLCite \textit{F. Ollivier}, Appl. Algebra Eng. Commun. Comput. 34, No. 5, 793--885 (2023; Zbl 1520.12004) Full Text: DOI arXiv
Kang, Chuan-gang The standard forms and convergence theory of the Kaczmarz-Tanabe type methods for solving linear systems. (English) Zbl 1517.65022 J. Comput. Appl. Math. 434, Article ID 115333, 18 p. (2023). MSC: 65F10 65F08 65N22 65J20 PDFBibTeX XMLCite \textit{C.-g. Kang}, J. Comput. Appl. Math. 434, Article ID 115333, 18 p. (2023; Zbl 1517.65022) Full Text: DOI arXiv
Jin, Bangti; Kereta, Željko On the convergence of stochastic gradient descent for linear inverse problems in Banach spaces. (English) Zbl 1518.65053 SIAM J. Imaging Sci. 16, No. 2, 671-705 (2023). MSC: 65J20 65J15 35R30 PDFBibTeX XMLCite \textit{B. Jin} and \textit{Ž. Kereta}, SIAM J. Imaging Sci. 16, No. 2, 671--705 (2023; Zbl 1518.65053) Full Text: DOI arXiv
Hinterer, Fabian; Hubmer, Simon; Jethwa, Prashin; Soodhalter, Kirk M.; van de Ven, Glenn; Ramlau, Ronny A projected Nesterov-Kaczmarz approach to stellar population-kinematic distribution reconstruction in extragalactic archaeology. (English) Zbl 1516.85001 SIAM J. Imaging Sci. 16, No. 1, 192-222 (2023). MSC: 85-08 65J10 65R30 47A52 PDFBibTeX XMLCite \textit{F. Hinterer} et al., SIAM J. Imaging Sci. 16, No. 1, 192--222 (2023; Zbl 1516.85001) Full Text: DOI arXiv
Jin, Qinian; Wang, Wei Dual gradient method for ill-posed problems using multiple repeated measurement data. (English) Zbl 07707683 Inverse Probl. 39, No. 8, Article ID 085005, 34 p. (2023). MSC: 65Jxx 47Axx 47Jxx PDFBibTeX XMLCite \textit{Q. Jin} and \textit{W. Wang}, Inverse Probl. 39, No. 8, Article ID 085005, 34 p. (2023; Zbl 07707683) Full Text: DOI arXiv
Bechouat, Tahar A collocation method for Fredholm integral equations of the first kind via iterative regularization scheme. (English) Zbl 07706391 Math. Model. Anal. 28, No. 2, 237-254 (2023). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{T. Bechouat}, Math. Model. Anal. 28, No. 2, 237--254 (2023; Zbl 07706391) Full Text: DOI
Dixit, Sharad Kumar A study of an iteratively-regularized simplified Landweber iteration for nonlinear inverse problems in Hilbert spaces. (English) Zbl 07705887 Numer. Funct. Anal. Optim. 44, No. 7, 619-652 (2023). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47J06 47A52 65F22 65J15 65J22 PDFBibTeX XMLCite \textit{S. K. Dixit}, Numer. Funct. Anal. Optim. 44, No. 7, 619--652 (2023; Zbl 07705887) Full Text: DOI
Patel, Subhashree; Laxmi Panigrahi, Bijaya; Nelakanti, Gnaneshwar Multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1524.65975 Int. J. Comput. Math. 100, No. 4, 722-744 (2023). MSC: 65R20 45B05 65J10 65J20 65R30 PDFBibTeX XMLCite \textit{S. Patel} et al., Int. J. Comput. Math. 100, No. 4, 722--744 (2023; Zbl 1524.65975) Full Text: DOI
Gong, Xingtian; Yang, Shuwei A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain. (English) Zbl 1518.35028 Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023). MSC: 35A35 35J05 35R25 45A05 65R30 PDFBibTeX XMLCite \textit{X. Gong} and \textit{S. Yang}, Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023; Zbl 1518.35028) Full Text: DOI
Hai, Dinh Nguyen Duy Identifying a space-dependent source term in distributed order time-fractional diffusion equations. (English) Zbl 07697854 Math. Control Relat. Fields 13, No. 3, 1008-1022 (2023). MSC: 65Nxx 26A33 35R30 47A52 65N15 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Math. Control Relat. Fields 13, No. 3, 1008--1022 (2023; Zbl 07697854) Full Text: DOI
Mittal, Gaurav; Giri, Ankik Kumar A modified steepest descent method for solving non-smooth inverse problems. (English) Zbl 1512.65090 J. Comput. Appl. Math. 424, Article ID 114997, 17 p. (2023). MSC: 65J15 65J20 47A52 PDFBibTeX XMLCite \textit{G. Mittal} and \textit{A. K. Giri}, J. Comput. Appl. Math. 424, Article ID 114997, 17 p. (2023; Zbl 1512.65090) Full Text: DOI
Deng, Yu; Hofmann, Bernd; Werner, Frank Deautoconvolution in the two-dimensional case. (English) Zbl 07693762 ETNA, Electron. Trans. Numer. Anal. 59, 24-42 (2023). Reviewer: Bangti Jin (London) MSC: 47J06 65R32 45Q05 47A52 65J20 PDFBibTeX XMLCite \textit{Y. Deng} et al., ETNA, Electron. Trans. Numer. Anal. 59, 24--42 (2023; Zbl 07693762) Full Text: DOI arXiv Link
Lebedeva, A. V.; Ryabov, V. M. On the properties of some inversion methods of the Laplace transform. (English. Russian original) Zbl 07688775 Vestn. St. Petersbg. Univ., Math. 56, No. 1, 27-34 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 37-47 (2023). MSC: 65Rxx 65-XX 42Cxx PDFBibTeX XMLCite \textit{A. V. Lebedeva} and \textit{V. M. Ryabov}, Vestn. St. Petersbg. Univ., Math. 56, No. 1, 27--34 (2023; Zbl 07688775); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 37--47 (2023) Full Text: DOI
Mekoth, Chitra; George, Santhosh; Jidesh, P.; Cho, Yeol Je Projection method for fractional Lavrentiev regularisation method in Hilbert scales. (English) Zbl 07687038 J. Anal. 31, No. 2, 1303-1333 (2023). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{C. Mekoth} et al., J. Anal. 31, No. 2, 1303--1333 (2023; Zbl 07687038) Full Text: DOI
Mamonov, Alexander Book review of: A. Kirsch, An introduction to the mathematical theory of inverse problems. 3rd ed. (English) Zbl 1522.00082 SIAM Rev. 65, No. 2, 591 (2023). MSC: 00A17 35-02 35R30 65J20 34B24 35P25 65J10 65J15 35J05 PDFBibTeX XMLCite \textit{A. Mamonov}, SIAM Rev. 65, No. 2, 591 (2023; Zbl 1522.00082) Full Text: DOI
George, Santhosh; Saeed, M.; Argyros, Ioannis K.; Jidesh, P. An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. (English) Zbl 07676698 J. Appl. Math. Comput. 69, No. 1, 1095-1115 (2023). MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{S. George} et al., J. Appl. Math. Comput. 69, No. 1, 1095--1115 (2023; Zbl 07676698) Full Text: DOI
Boink, Yoeri E.; Haltmeier, Markus; Holman, Sean; Schwab, Johannes Data-consistent neural networks for solving nonlinear inverse problems. (English) Zbl 1516.65042 Inverse Probl. Imaging 17, No. 1, 203-229 (2023). MSC: 65J20 68T07 65J22 45F05 PDFBibTeX XMLCite \textit{Y. E. Boink} et al., Inverse Probl. Imaging 17, No. 1, 203--229 (2023; Zbl 1516.65042) Full Text: DOI arXiv
Filippozzi, Rafaela; Hafemann, Eduardo; Rabelo, Joel C.; Margotti, Fabio; Leitão, Antonio A range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt-Kaczmarz method for solving systems of non-linear ill-posed equations: application to EIT-CEM with real data. (English) Zbl 1515.65138 J. Inverse Ill-Posed Probl. 31, No. 2, 267-292 (2023). MSC: 65J20 47J06 PDFBibTeX XMLCite \textit{R. Filippozzi} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 267--292 (2023; Zbl 1515.65138) Full Text: DOI
Shi, Baoming; Han, Yucen; Yin, Jianyuan; Majumdar, Apala; Zhang, Lei Hierarchies of critical points of a Landau-de Gennes free energy on three-dimensional cuboids. (English) Zbl 1512.35485 Nonlinearity 36, No. 5, 2631-2654 (2023). MSC: 35Q35 76A15 35A15 35B32 35B38 35R09 49M41 65M30 65K10 65H10 65N06 65F15 65F08 65F10 PDFBibTeX XMLCite \textit{B. Shi} et al., Nonlinearity 36, No. 5, 2631--2654 (2023; Zbl 1512.35485) Full Text: DOI arXiv
Xu, Yuesheng; Zeng, Taishan Sparse deep neural network for nonlinear partial differential equations. (English) Zbl 07672342 Numer. Math., Theory Methods Appl. 16, No. 1, 58-78 (2023). MSC: 65D15 65F50 47A52 65N50 68T07 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{T. Zeng}, Numer. Math., Theory Methods Appl. 16, No. 1, 58--78 (2023; Zbl 07672342) Full Text: DOI arXiv
Alqahtani, A.; Mach, T.; Reichel, L. Solution of ill-posed problems with Chebfun. (English) Zbl 07669771 Numer. Algorithms 92, No. 4, 2341-2364 (2023). MSC: 65-XX 47A52 65F22 45B05 41A10 PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Numer. Algorithms 92, No. 4, 2341--2364 (2023; Zbl 07669771) Full Text: DOI arXiv
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
Rashedi, Kamal Recovery of coefficients of a heat equation by Ritz collocation method. (English) Zbl 1509.65090 Kuwait J. Sci. 50, No. 2A, Article No. 7, 12 p. (2023). MSC: 65M32 65M30 65M70 65J20 65F22 35K05 35K20 42C10 35R25 35Q79 PDFBibTeX XMLCite \textit{K. Rashedi}, Kuwait J. Sci. 50, No. 2A, Article No. 7, 12 p. (2023; Zbl 1509.65090) Full Text: DOI
Reddy, G. D.; Pradeep, D. A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme. (English) Zbl 1524.65179 Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023). MSC: 65F22 65R30 65R32 PDFBibTeX XMLCite \textit{G. D. Reddy} and \textit{D. Pradeep}, Comput. Appl. Math. 42, No. 1, Paper No. 45, 21 p. (2023; Zbl 1524.65179) Full Text: DOI
de Alba, Patricia Díaz; Fermo, Luisa; Pes, Federica; Rodriguez, Giuseppe Regularized minimal-norm solution of an overdetermined system of first kind integral equations. (English) Zbl 07644398 Numer. Algorithms 92, No. 1, 471-502 (2023). MSC: 65R30 65R32 45Q05 86A22 PDFBibTeX XMLCite \textit{P. D. de Alba} et al., Numer. Algorithms 92, No. 1, 471--502 (2023; Zbl 07644398) Full Text: DOI arXiv
Zhang, Ye On the acceleration of optimal regularization algorithms for linear ill-posed inverse problems. (English) Zbl 1525.47029 Calcolo 60, No. 1, Paper No. 6, 34 p. (2023). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65J20 65F22 65R30 PDFBibTeX XMLCite \textit{Y. Zhang}, Calcolo 60, No. 1, Paper No. 6, 34 p. (2023; Zbl 1525.47029) Full Text: DOI
Abid, Chaima; Abda, Amel Ben; Fatma, Riadh Ben; Boukari, Yosra A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 1504.65242 J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023). MSC: 65N20 65N21 65K10 65R20 65F08 65F10 65N12 35J05 35R25 PDFBibTeX XMLCite \textit{C. Abid} et al., J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023; Zbl 1504.65242) 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
Aspri, Andrea; Scherzer, Otmar Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data. arXiv:2312.03337 Preprint, arXiv:2312.03337 [math.NA] (2023). MSC: 65J20 65J10 65J15 65J22 BibTeX Cite \textit{A. Aspri} and \textit{O. Scherzer}, ``Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data'', Preprint, arXiv:2312.03337 [math.NA] (2023) Full Text: arXiv OA License
Li, Haibo Subspace projection regularization for large-scale Bayesian linear inverse problems. arXiv:2310.18618 Preprint, arXiv:2310.18618 [math.NA] (2023). MSC: 65J20 65F22 65J10 65F10 BibTeX Cite \textit{H. Li}, ``Subspace projection regularization for large-scale Bayesian linear inverse problems'', Preprint, arXiv:2310.18618 [math.NA] (2023) Full Text: arXiv OA License
Schneider, Naomi; Michel, Volker; Sigloch, Karin; Totten, Eoghan J. A matching pursuit approach to the geophysical inverse problem of seismic travel time tomography under the ray theory approximation. arXiv:2309.00085 Preprint, arXiv:2309.00085 [math.NA] (2023). MSC: 41A45 45Q05 65D15 65J20 65R32 68T05 86-10 86A15 86A22 BibTeX Cite \textit{N. Schneider} et al., ``A matching pursuit approach to the geophysical inverse problem of seismic travel time tomography under the ray theory approximation'', Preprint, arXiv:2309.00085 [math.NA] (2023) Full Text: arXiv OA License
Schneider, Naomi; Michel, Volker; Sneeuw, Nico High-dimensional experiments for the downward continuation using the LRFMP algorithm. arXiv:2308.04167 Preprint, arXiv:2308.04167 [math.NA] (2023). MSC: 31B20 41A45 65D15 65J20 65K10 65R32 68T05 86A22 BibTeX Cite \textit{N. Schneider} et al., ``High-dimensional experiments for the downward continuation using the LRFMP algorithm'', Preprint, arXiv:2308.04167 [math.NA] (2023) Full Text: arXiv OA License
Hubmer, Simon; Sherina, Ekaterina; Kindermann, Stefan; Raik, Kemal A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration. (English) Zbl 1512.65093 ETNA, Electron. Trans. Numer. Anal. 57, 216-241 (2022). MSC: 65J20 65F22 47J06 35R25 PDFBibTeX XMLCite \textit{S. Hubmer} et al., ETNA, Electron. Trans. Numer. Anal. 57, 216--241 (2022; Zbl 1512.65093) Full Text: DOI arXiv Link
Lebedeva, A. V.; Ryabov, V. M. Regularization of the procedure for inverting the Laplace transform using quadrature formulas. (English. Russian original) Zbl 07659218 Vestn. St. Petersbg. Univ., Math. 55, No. 4, 414-418 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 4, 637-644 (2022). MSC: 65Jxx 65-XX 42Cxx PDFBibTeX XMLCite \textit{A. V. Lebedeva} and \textit{V. M. Ryabov}, Vestn. St. Petersbg. Univ., Math. 55, No. 4, 414--418 (2022; Zbl 07659218); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 4, 637--644 (2022) Full Text: DOI
Chernov, Andreĭ Vladimirovich On explicit expression of the solution to the regularizing by Tikhonov optimization problem in terms of the regularization parameter in the finite-dimensional case. (Russian. English summary) Zbl 1505.65316 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 60, 90-110 (2022). MSC: 65R20 65J20 65J22 65R30 65R32 45B05 PDFBibTeX XMLCite \textit{A. V. Chernov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 60, 90--110 (2022; Zbl 1505.65316) Full Text: DOI MNR
Yu, Kai; Gong, Benxue; Zhao, Zhenyu A modified Tikhonov regularization for unknown source in space fractional diffusion equation. (English) Zbl 1506.35281 Open Math. 20, 1309-1319 (2022). MSC: 35R30 35R11 47A52 65M30 65M32 PDFBibTeX XMLCite \textit{K. Yu} et al., Open Math. 20, 1309--1319 (2022; Zbl 1506.35281) Full Text: DOI
Kokurin, M. Yu.; Bakushinsky, A. B. On the achievable level of accuracy for the solution of abstract ill-posed problems and nonlinear operator equations in a Banach space. (English. Russian original) Zbl 07640121 Russ. Math. 66, No. 3, 16-21 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 21-27 (2022). MSC: 65Jxx 47Jxx 46Exx PDFBibTeX XMLCite \textit{M. Yu. Kokurin} and \textit{A. B. Bakushinsky}, Russ. Math. 66, No. 3, 16--21 (2022; Zbl 07640121); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 21--27 (2022) Full Text: DOI
Stoyan, V. A. Mathematical modeling of the state of dynamical multiplicatively nonlinear systems. (English. Ukrainian original) Zbl 07630525 Cybern. Syst. Anal. 58, No. 4, 598-610 (2022); translation from Kibern. Sist. Anal. 58, No. 4, 117-128 (2022). MSC: 47J06 47A52 65L08 65J20 PDFBibTeX XMLCite \textit{V. A. Stoyan}, Cybern. Syst. Anal. 58, No. 4, 598--610 (2022; Zbl 07630525); translation from Kibern. Sist. Anal. 58, No. 4, 117--128 (2022) Full Text: DOI
Ugulava, Duglas; Zarnadze, David On linear spline algorithms of computerized tomography in the space of \(n\)-orbits. (English) Zbl 1507.65303 Georgian Math. J. 29, No. 6, 939-952 (2022). MSC: 65R30 44A12 47B25 PDFBibTeX XMLCite \textit{D. Ugulava} and \textit{D. Zarnadze}, Georgian Math. J. 29, No. 6, 939--952 (2022; Zbl 1507.65303) Full Text: DOI
Mittal, Gaurav; Giri, Ankik Kumar Nonstationary iterated Tikhonov regularization: convergence analysis via Hölder stability. (English) Zbl 1503.35288 Inverse Probl. 38, No. 12, Article ID 125008, 33 p. (2022). MSC: 35R30 47A52 65J20 PDFBibTeX XMLCite \textit{G. Mittal} and \textit{A. K. Giri}, Inverse Probl. 38, No. 12, Article ID 125008, 33 p. (2022; Zbl 1503.35288) Full Text: DOI
Neubauer, Andreas Ill-posed problems and the conjugate gradient method: optimal convergence rates in the presence of discretization and modelling errors. (English) Zbl 1521.47024 J. Inverse Ill-Posed Probl. 30, No. 6, 905-915 (2022). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65J20 65R30 PDFBibTeX XMLCite \textit{A. Neubauer}, J. Inverse Ill-Posed Probl. 30, No. 6, 905--915 (2022; Zbl 1521.47024) Full Text: DOI
Zhang, Min; Zhang, Guo-Feng Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing. (English) Zbl 1507.91239 Numer. Algorithms 91, No. 4, 1559-1575 (2022). MSC: 91G60 65M06 65N06 65F10 65F08 65F50 65F55 65N20 65N22 65Y05 15B05 26A33 35R11 91G20 35Q91 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{G.-F. Zhang}, Numer. Algorithms 91, No. 4, 1559--1575 (2022; Zbl 1507.91239) Full Text: DOI
Chapko, R.; Johansson, B. T. Calculating heat and wave propagation from the lateral Cauchy data. (English) Zbl 1501.65055 Ukr. Math. J. 74, No. 2, 314-326 (2022) and Ukr. Mat. Zh. 74, No. 2, 274-285 (2022). MSC: 65M32 65M30 65M06 65N38 65N06 65N80 65F22 35K05 35J15 33C45 35R30 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{B. T. Johansson}, Ukr. Math. J. 74, No. 2, 314--326 (2022; Zbl 1501.65055) Full Text: DOI
Al-Jamal, Mohammad F.; Baniabedalruhman, Ahmad; Alomari, Abedel-Karrem Data smoothing with applications to edge detection. (English) Zbl 1496.65057 Open Math. 20, 492-504 (2022). MSC: 65F22 47A52 35K20 65D19 PDFBibTeX XMLCite \textit{M. F. Al-Jamal} et al., Open Math. 20, 492--504 (2022; Zbl 1496.65057) Full Text: DOI
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. (English) Zbl 1518.35226 Commun. Partial Differ. Equations 47, No. 10, 2023-2069 (2022). MSC: 35F05 28A50 35C15 35L03 65J20 PDFBibTeX XMLCite \textit{K. Bredies} et al., Commun. Partial Differ. Equations 47, No. 10, 2023--2069 (2022; Zbl 1518.35226) Full Text: DOI arXiv
Poborchaya, N. E.; Lobov, E. M. Analysis of the influence of the Lagrange multiplier on the operation of the algorithm for estimating the signal parameters under a priori uncertainty. (English) Zbl 1515.65133 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 2, 118-124 (2022). MSC: 65J15 65J20 62J05 PDFBibTeX XMLCite \textit{N. E. Poborchaya} and \textit{E. M. Lobov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 2, 118--124 (2022; Zbl 1515.65133) Full Text: DOI MNR
Janmohammadi, Ali; Damirchi, Javad; Mahmoudi, Seyed Mahdi; Esfandiari, Ahmadreza Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. (English) Zbl 07597387 J. Appl. Math. Comput. 68, No. 5, 2983-3009 (2022). MSC: 47A52 65M70 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{A. Janmohammadi} et al., J. Appl. Math. Comput. 68, No. 5, 2983--3009 (2022; Zbl 07597387) Full Text: DOI
Fu, Zhenwu; Chen, Yong; Han, Bo REGINN-IT method with general convex penalty terms for nonlinear inverse problems. (English) Zbl 1498.35614 Appl. Anal. 101, No. 17, 5949-5973 (2022). MSC: 35R30 35K20 47A52 65L09 65M32 PDFBibTeX XMLCite \textit{Z. Fu} et al., Appl. Anal. 101, No. 17, 5949--5973 (2022; Zbl 1498.35614) Full Text: DOI
Luo, Xingjun; Jiang, Weijuan; Zhang, Rong Multi-scale collocation method for solving nonstationary Lavrentiev iterative equations. (Chinese. English summary) Zbl 1513.65174 Math. Numer. Sin. 44, No. 2, 257-271 (2022). MSC: 65J20 65J10 PDFBibTeX XMLCite \textit{X. Luo} et al., Math. Numer. Sin. 44, No. 2, 257--271 (2022; Zbl 1513.65174) Full Text: DOI
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Legendre spectral multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1495.65244 Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022). MSC: 65R20 45B05 47A52 65J10 65J20 PDFBibTeX XMLCite \textit{S. Patel} et al., Adv. Oper. Theory 7, No. 4, Paper No. 51, 22 p. (2022; Zbl 1495.65244) Full Text: DOI
Lebedeva, A. V.; Ryabov, V. M. Method of moments in the problem of inversion of the Laplace transform and its regularization. (English. Russian original) Zbl 1502.65276 Vestn. St. Petersbg. Univ., Math. 55, No. 1, 34-38 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 46-52 (2022). MSC: 65R20 44A10 65R30 PDFBibTeX XMLCite \textit{A. V. Lebedeva} and \textit{V. M. Ryabov}, Vestn. St. Petersbg. Univ., Math. 55, No. 1, 34--38 (2022; Zbl 1502.65276); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 46--52 (2022) Full Text: DOI
Rajan, M. P.; Jose, Jaise An efficient discrete Landweber iteration for nonlinear problems. (English) Zbl 1504.47104 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 189, 19 p. (2022). MSC: 47J25 47J06 65J10 65J22 65J20 PDFBibTeX XMLCite \textit{M. P. Rajan} and \textit{J. Jose}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 189, 19 p. (2022; Zbl 1504.47104) Full Text: DOI
Zhang, Na; Li, Rui-Xia; Li, Jian Lopsided shift-splitting preconditioner for saddle point problems with three-by-three structure. (English) Zbl 1513.65061 Comput. Appl. Math. 41, No. 6, Paper No. 261, 16 p. (2022). MSC: 65F08 65F10 65F50 65N20 65N22 PDFBibTeX XMLCite \textit{N. Zhang} et al., Comput. Appl. Math. 41, No. 6, Paper No. 261, 16 p. (2022; Zbl 1513.65061) Full Text: DOI
Zhong, Min; Wang, Wei; Zhu, Kai On the asymptotical regularization with convex constraints for nonlinear ill-posed problems. (English) Zbl 1524.65216 Appl. Math. Lett. 133, Article ID 108247, 7 p. (2022). MSC: 65J20 65J15 65J22 47A52 PDFBibTeX XMLCite \textit{M. Zhong} et al., Appl. Math. Lett. 133, Article ID 108247, 7 p. (2022; Zbl 1524.65216) Full Text: DOI
Xia, Yuxin; Wang, Wei; Han, Bo A fast averaged Kaczmarz iteration with convex penalty for inverse problems in Hilbert spaces. (English) Zbl 1492.65151 SIAM J. Imaging Sci. 15, No. 3, 1079-1103 (2022). MSC: 65J20 65J22 45F05 PDFBibTeX XMLCite \textit{Y. Xia} et al., SIAM J. Imaging Sci. 15, No. 3, 1079--1103 (2022; Zbl 1492.65151) Full Text: DOI
Dong, Heping; Zhang, Deyue; Chi, Yingwei An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093 Inverse Probl. Imaging 16, No. 4, 925-942 (2022). MSC: 65N21 65N20 76Q05 78A46 65K10 65F20 65F22 65R20 35J05 65J20 35R30 35R25 35Q35 PDFBibTeX XMLCite \textit{H. Dong} et al., Inverse Probl. Imaging 16, No. 4, 925--942 (2022; Zbl 1494.65093) Full Text: DOI
Pornsawad, Pornsarp; Böckmann, Christine; Panitsupakamon, Wannapa The Levenberg-Marquardt regularization for the backward heat equation with fractional derivative. (English) Zbl 07556373 ETNA, Electron. Trans. Numer. Anal. 57, 67-79 (2022). MSC: 47A52 26A33 65R30 65M30 PDFBibTeX XMLCite \textit{P. Pornsawad} et al., ETNA, Electron. Trans. Numer. Anal. 57, 67--79 (2022; Zbl 07556373) Full Text: DOI Link
Gerth, Daniel A note on numerical singular values of compositions with non-compact operators. (English) Zbl 1493.65103 ETNA, Electron. Trans. Numer. Anal. 57, 57-66 (2022). MSC: 65J10 47A52 65J20 PDFBibTeX XMLCite \textit{D. Gerth}, ETNA, Electron. Trans. Numer. Anal. 57, 57--66 (2022; Zbl 1493.65103) Full Text: DOI arXiv Link
Cao, Kai Convergence rates for the reaction coefficient and the initial temperature identification problems. (English) Zbl 1494.80006 Appl. Anal. 101, No. 7, 2472-2497 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80M50 65M32 65M30 65K10 65J20 65J08 47A52 47J06 80A19 35K05 35B65 35Q79 PDFBibTeX XMLCite \textit{K. Cao}, Appl. Anal. 101, No. 7, 2472--2497 (2022; Zbl 1494.80006) Full Text: DOI
Lu, Shuai; Mathé, Peter Stochastic gradient descent for linear inverse problems in Hilbert spaces. (English) Zbl 1504.47027 Math. Comput. 91, No. 336, 1763-1788 (2022). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65F22 65C05 PDFBibTeX XMLCite \textit{S. Lu} and \textit{P. Mathé}, Math. Comput. 91, No. 336, 1763--1788 (2022; Zbl 1504.47027) Full Text: DOI
Yang, Hongqi; Zhang, Rong A fast multilevel iteration method for solving linear ill-posed integral equations. (English) Zbl 1503.47015 J. Inverse Ill-Posed Probl. 30, No. 3, 409-423 (2022). MSC: 47A52 65R30 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Zhang}, J. Inverse Ill-Posed Probl. 30, No. 3, 409--423 (2022; Zbl 1503.47015) Full Text: DOI
Mondal, Subhankar; Nair, M. Thamban Identification of matrix diffusion coefficient in a parabolic PDE. (English) Zbl 1487.35451 Comput. Methods Appl. Math. 22, No. 2, 413-441 (2022). MSC: 35R30 35K20 35R25 47A52 65N21 65N30 PDFBibTeX XMLCite \textit{S. Mondal} and \textit{M. T. Nair}, Comput. Methods Appl. Math. 22, No. 2, 413--441 (2022; Zbl 1487.35451) Full Text: DOI arXiv
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
Yang, Hongqi; Zhang, Rong A modified minimal error method for solving nonlinear integral equations via multiscale Galerkin methods. (English) Zbl 1492.65153 Numer. Funct. Anal. Optim. 43, No. 1, 1-15 (2022). MSC: 65J20 47A52 47J06 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Zhang}, Numer. Funct. Anal. Optim. 43, No. 1, 1--15 (2022; Zbl 1492.65153) Full Text: DOI
Rabelo, J. C.; Leitão, A. Addendum: On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations. (English) Zbl 1484.65116 Inverse Probl. 38, No. 5, Article ID 059401, 3 p. (2022). MSC: 65J20 65J10 PDFBibTeX XMLCite \textit{J. C. Rabelo} and \textit{A. Leitão}, Inverse Probl. 38, No. 5, Article ID 059401, 3 p. (2022; Zbl 1484.65116) Full Text: DOI
Deng, Xiaomao; Liao, Zi-Ju; Cai, Xiao-Chuan An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems. (English) Zbl 1524.65477 Comput. Math. Appl. 111, 98-108 (2022). MSC: 65M32 35R30 35K20 65J20 65M60 65M55 49M41 65F10 65M08 65Y05 93B30 PDFBibTeX XMLCite \textit{X. Deng} et al., Comput. Math. Appl. 111, 98--108 (2022; Zbl 1524.65477) Full Text: DOI
Caruso, Noè Angelo; Michelangeli, Alessandro; Novati, Paolo On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. (English) Zbl 1509.65110 Asymptotic Anal. 127, No. 1-2, 167-189 (2022). MSC: 65N21 65N20 65J20 65N22 65N30 65F10 35R30 35R25 PDFBibTeX XMLCite \textit{N. A. Caruso} et al., Asymptotic Anal. 127, No. 1--2, 167--189 (2022; Zbl 1509.65110) Full Text: DOI arXiv
Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. Calculation of the gradient of Tikhonov’s functional in solving coefficient inverse problems for linear partial differential equations. (English) Zbl 1491.65172 J. Inverse Ill-Posed Probl. 30, No. 1, 23-34 (2022). MSC: 65R20 65R30 65R32 35J25 35L20 35R25 PDFBibTeX XMLCite \textit{A. S. Leonov} et al., J. Inverse Ill-Posed Probl. 30, No. 1, 23--34 (2022; Zbl 1491.65172) 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
Rabelo, J. C.; Saporito, Y. F.; Leitão, A. On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations. (English) Zbl 1480.65137 Inverse Probl. 38, No. 2, Article ID 025003, 23 p. (2022); addendum ibid 38, No. 5, Article ID 059401, 3 p. (2022). MSC: 65J20 65J10 PDFBibTeX XMLCite \textit{J. C. Rabelo} et al., Inverse Probl. 38, No. 2, Article ID 025003, 23 p. (2022; Zbl 1480.65137) Full Text: DOI
Wang, Yuchan; Chen, Qun; Liu, Jijun On the cavity detection in a heat conductive medium from time-average boundary temperature measurement. (English) Zbl 1473.35663 J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022). MSC: 35R30 35K05 35K20 47A52 41A60 65M32 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Appl. Math. 401, Article ID 113780, 15 p. (2022; Zbl 1473.35663) Full Text: DOI
Zhang, Rong; Zhou, Bing Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space. (English) Zbl 1473.65066 J. Comput. Appl. Math. 400, Article ID 113741, 16 p. (2022). MSC: 65J20 65J10 65J22 65R20 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{B. Zhou}, J. Comput. Appl. Math. 400, Article ID 113741, 16 p. (2022; Zbl 1473.65066) Full Text: DOI
Gerth, Daniel; Hofmann, Bernd Open questions asked to analysis and numerics concerning the Hausdorff moment problem. arXiv:2206.04127 Preprint, arXiv:2206.04127 [math.NA] (2022). MSC: 47A52 47B06 44A60 45C05 65R30 BibTeX Cite \textit{D. Gerth} and \textit{B. Hofmann}, ``Open questions asked to analysis and numerics concerning the Hausdorff moment problem'', Preprint, arXiv:2206.04127 [math.NA] (2022) Full Text: DOI arXiv OA License
Kalmoun, El Mostafa; Allami, Fatimah On the existence and stability of minimizers for generalized Tikhonov functionals with general similarity data. (English) Zbl 1525.65048 AIMS Math. 6, No. 3, 2764-2777 (2021). MSC: 65J20 47A52 47J06 65J15 PDFBibTeX XMLCite \textit{E. M. Kalmoun} and \textit{F. Allami}, AIMS Math. 6, No. 3, 2764--2777 (2021; Zbl 1525.65048) Full Text: DOI
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
Lebedeva, A. V.; Ryabov, V. M. On regularization of the solution of integral equations of the first kind using quadrature formulas. (English. Russian original) Zbl 07485532 Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361-365 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593-599 (2021). MSC: 65Rxx 65-XX 65Fxx PDFBibTeX XMLCite \textit{A. V. Lebedeva} and \textit{V. M. Ryabov}, Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361--365 (2021; Zbl 07485532); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593--599 (2021) Full Text: DOI
Romanovski, M. A locally sequential refinement of the growth dynamics identification. (English) Zbl 07484733 Inverse Probl. Sci. Eng. 29, No. 13, 2719-2756 (2021). MSC: 34A34 34A55 47A52 65L09 65J20 65L08 65R30 65N21 PDFBibTeX XMLCite \textit{M. Romanovski}, Inverse Probl. Sci. Eng. 29, No. 13, 2719--2756 (2021; Zbl 07484733) Full Text: DOI