Jorgensen, Palle E. T.; Song, Myung-Sin; Tian, James Conditional mean embedding and optimal feature selection via positive definite kernels. (English) Zbl 07770138 Opusc. Math. 44, No. 1, 79-103 (2024). MSC: 47N10 47A52 47B32 42A82 42C15 62H12 62J07 65J20 68T07 90C20 PDF BibTeX XML Cite \textit{P. E. T. Jorgensen} et al., Opusc. Math. 44, No. 1, 79--103 (2024; Zbl 07770138) Full Text: DOI arXiv
Chang, Weike; D’Ascenzo, Nicola; Xie, Qingguo A relaxed iterated Tikhonov regularization for linear ill-posed inverse problems. (English) Zbl 07762475 J. Math. Anal. Appl. 530, No. 2, Article ID 127754, 24 p. (2024). MSC: 65Fxx 65Jxx 47Axx PDF BibTeX XML Cite \textit{W. Chang} et al., J. Math. Anal. Appl. 530, No. 2, Article ID 127754, 24 p. (2024; Zbl 07762475) Full Text: DOI
Dinh Nguyen Duy Hai On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem. (English) Zbl 07762454 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 PDF BibTeX XML Cite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 07762454) Full Text: DOI
Rathore, Ajay Singh; Shanthi, Vembu A numerical method for a system of singularly perturbed Fredholm integro-differential reaction-diffusion equation. (English) Zbl 1522.65267 J. Comput. Appl. Math. 437, Article ID 115457, 13 p. (2024). MSC: 65R30 45J05 45B05 65L11 65L20 PDF BibTeX XML Cite \textit{A. S. Rathore} and \textit{V. Shanthi}, J. Comput. Appl. Math. 437, Article ID 115457, 13 p. (2024; Zbl 1522.65267) Full Text: DOI
Nasiri, T.; Zakeri, A.; Aminataei, A. A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 07750618 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 PDF BibTeX XML Cite \textit{T. Nasiri} et al., J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024; Zbl 07750618) Full Text: DOI
Pugachev, V. S.; Sinitsyn, I. N. Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832 Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2024). MSC: 46-01 47-01 PDF BibTeX XML Cite \textit{V. S. Pugachev} and \textit{I. N. Sinitsyn}, Lectures on functional analysis and applications (to appear). 2nd edition. Hackensack, NJ: World Scientific (2024; Zbl 07029832) 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). MSC: 47A52 47B06 65R30 45C05 45P05 PDF BibTeX XML Cite \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
Xia, Yuxin; Han, Bo; Wang, Wei A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces. (English) Zbl 07773430 J. Inverse Ill-Posed Probl. 31, No. 6, 849-872 (2023). MSC: 65J20 65J22 47H12 PDF BibTeX XML Cite \textit{Y. Xia} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 849--872 (2023; Zbl 07773430) Full Text: DOI
Burman, Erik; Gillissen, Jurriaan J. J.; Oksanen, Lauri Stability estimate for scalar image velocimetry. (English) Zbl 07773427 J. Inverse Ill-Posed Probl. 31, No. 6, 811-822 (2023). MSC: 35Q30 35Q49 35R30 35R25 35A15 35B35 76D05 76F25 76M21 65K10 PDF BibTeX XML Cite \textit{E. Burman} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 811--822 (2023; Zbl 07773427) Full Text: DOI arXiv OA License
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). MSC: 49N45 47J06 PDF BibTeX XML Cite \textit{A. M. C. Pashaev} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 799--810 (2023; Zbl 07773426) Full Text: DOI
Kretschmann, Remo Are minimizers of the Onsager-Machlup functional strong posterior modes? (English) Zbl 07772686 SIAM/ASA J. Uncertain. Quantif. 11, 1105-1138 (2023). MSC: 47A52 47J06 62F15 62G05 65J20 65J22 PDF BibTeX XML Cite \textit{R. Kretschmann}, SIAM/ASA J. Uncertain. Quantif. 11, 1105--1138 (2023; Zbl 07772686) Full Text: DOI arXiv
Aristoff, David; Bangerth, Wolfgang A Benchmark for the Bayesian inversion of coefficients in partial differential equations. (English) Zbl 07771545 SIAM Rev. 65, No. 4, 1074-1105 (2023). MSC: 65N21 65N20 62F15 65C40 65C05 65N30 65N50 35R30 35R25 74G75 PDF BibTeX XML Cite \textit{D. Aristoff} and \textit{W. Bangerth}, SIAM Rev. 65, No. 4, 1074--1105 (2023; Zbl 07771545) 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 PDF BibTeX XML Cite \textit{T. Bechouat}, Sib. Zh. Vychisl. Mat. 26, No. 2, 115--134 (2023; Zbl 07771100) Full Text: DOI MNR
Ohlmann, Gaspard Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\). (English) Zbl 07769975 Pure Appl. Anal. 5, No. 3, 507-540 (2023). MSC: 35R25 35A21 35A30 35D30 35L72 PDF BibTeX XML Cite \textit{G. Ohlmann}, Pure Appl. Anal. 5, No. 3, 507--540 (2023; Zbl 07769975) Full Text: DOI arXiv
Long Le Dinh; Duc Phuong Nguyen; Ragusa, Maria Alessandra On a non-local Sobolev-Galpern-type equation associated with random noise. (English) Zbl 07768229 Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 202, 28 p. (2023). MSC: 35R60 35K05 47J06 47H10 PDF BibTeX XML Cite \textit{Long Le Dinh} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 202, 28 p. (2023; Zbl 07768229) Full Text: DOI OA License
Bao, Chenglong; Qiu, Lingyun; Wang, Rongqian Robust full waveform inversion: a source wavelet manipulation perspective. (English) Zbl 07766065 SIAM J. Sci. Comput. 45, No. 6, B753-B775 (2023). MSC: 65N21 65T60 68T07 49M41 86A22 86A15 35B65 35R30 35R25 35Q86 PDF BibTeX XML Cite \textit{C. Bao} et al., SIAM J. Sci. Comput. 45, No. 6, B753--B775 (2023; Zbl 07766065) Full Text: DOI
Tuan, Nguyen Huy; Hai, Nguyen Minh; Thach, Tran Ngoc; Can, Nguyen Huu On stochastic elliptic equations driven by Wiener process with non-local condition. (English) Zbl 07765953 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2613-2635 (2023). MSC: 60H15 35R25 60H10 35R60 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2613--2635 (2023; Zbl 07765953) Full Text: DOI
Burman, Erik; Delay, Guillaume; Ern, Alexandre The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. (English) Zbl 07764838 SIAM J. Numer. Anal. 61, No. 5, 2534-2557 (2023). MSC: 65M30 65M60 65J20 35R25 35K05 PDF BibTeX XML Cite \textit{E. Burman} et al., SIAM J. Numer. Anal. 61, No. 5, 2534--2557 (2023; Zbl 07764838) Full Text: DOI
Tong, Shanshan; Wang, Wei; Dong, Chaofeng A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems. (English) Zbl 07763863 Appl. Numer. Math. 192, 152-178 (2023). MSC: 65J20 PDF BibTeX XML Cite \textit{S. Tong} et al., Appl. Numer. Math. 192, 152--178 (2023; Zbl 07763863) Full Text: DOI
Meng, Shixu Data-driven basis for reconstructing the contrast in inverse scattering: Picard criterion, regularity, regularization, and stability. (English) Zbl 07763811 SIAM J. Appl. Math. 83, No. 5, 2003-2026 (2023). MSC: 78A46 33E30 47A52 PDF BibTeX XML Cite \textit{S. Meng}, SIAM J. Appl. Math. 83, No. 5, 2003--2026 (2023; Zbl 07763811) Full Text: DOI arXiv
Burger, Martin Variational regularization in inverse problems and machine learning. (English) Zbl 07763392 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 253-275 (2023). MSC: 65J20 47A52 68Q32 PDF BibTeX XML Cite \textit{M. Burger}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 253--275 (2023; Zbl 07763392) Full Text: DOI arXiv
Talaei, Y.; Noeiaghdam, Samad; Hosseinzadeh, H. Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions. (English) Zbl 07762884 Izv. Irkutsk. Gos. Univ., Ser. Mat. 45, 89-103 (2023). MSC: 65R30 34K37 45J05 45B05 PDF BibTeX XML Cite \textit{Y. Talaei} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 45, 89--103 (2023; Zbl 07762884) Full Text: DOI arXiv Link
Li, Fang; Lv, Xiao-Guang A nonconvex nonsmooth image prior based on the hyperbolic tangent function. (English) Zbl 07761543 J. Sci. Comput. 97, No. 3, Paper No. 55, 31 p. (2023). Reviewer: Hang Lau (Montréal) MSC: 94A08 68U10 47A52 PDF BibTeX XML Cite \textit{F. Li} and \textit{X.-G. Lv}, J. Sci. Comput. 97, No. 3, Paper No. 55, 31 p. (2023; Zbl 07761543) Full Text: DOI
Yan, Kexin; Wang, Hao; Fu, Ying Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations. (English) Zbl 07760685 J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023). MSC: 35R25 37K10 PDF BibTeX XML Cite \textit{K. Yan} et al., J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023; Zbl 07760685) Full Text: DOI
Zhao, Jiefeng Mild ill-posedness for 2D magneto-micropolar fluid equations near a background magnetic field. (English) Zbl 07758516 SIAM J. Math. Anal. 55, No. 5, 5967-5992 (2023). MSC: 35Q35 35Q86 35R25 76B03 76W05 76A05 PDF BibTeX XML Cite \textit{J. Zhao}, SIAM J. Math. Anal. 55, No. 5, 5967--5992 (2023; Zbl 07758516) Full Text: DOI
Fang, Hui; Bie, Qunyi Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping. (English) Zbl 07758144 J. Differ. Equations 377, 519-543 (2023). MSC: 35Q35 35B35 47J06 PDF BibTeX XML Cite \textit{H. Fang} and \textit{Q. Bie}, J. Differ. Equations 377, 519--543 (2023; Zbl 07758144) Full Text: DOI
Yang, Suhua; Luo, Xingjun; Zhang, Rong Fast multilevel iteration methods for solving nonlinear ill-posed problems. (English) Zbl 07757072 J. Inverse Ill-Posed Probl. 31, No. 5, 781-798 (2023). MSC: 65J20 PDF BibTeX XML Cite \textit{S. Yang} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 781--798 (2023; Zbl 07757072) Full Text: DOI
Elvetun, Ole Løseth; Nielsen, Bjørn Fredrik Weighted sparsity regularization for source identification for elliptic PDEs. (English) Zbl 07757067 J. Inverse Ill-Posed Probl. 31, No. 5, 687-709 (2023). MSC: 35R30 35J25 47A52 65F22 65M32 PDF BibTeX XML Cite \textit{O. L. Elvetun} and \textit{B. F. Nielsen}, J. Inverse Ill-Posed Probl. 31, No. 5, 687--709 (2023; Zbl 07757067) Full Text: DOI arXiv
Maréchal, Pierre; Lee, Walter Simo Tao; Triki, Faouzi A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation. (English) Zbl 07757066 J. Inverse Ill-Posed Probl. 31, No. 5, 669-685 (2023). MSC: 35J05 35R25 PDF BibTeX XML Cite \textit{P. Maréchal} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 669--685 (2023; Zbl 07757066) Full Text: DOI arXiv
Achieng, Pauline; Berntsson, Fredrik; Kozlov, Vladimir Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain. (English) Zbl 07757065 J. Inverse Ill-Posed Probl. 31, No. 5, 653-667 (2023). MSC: 35J05 35R30 35R25 65N06 PDF BibTeX XML Cite \textit{P. Achieng} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 653--667 (2023; Zbl 07757065) Full Text: DOI arXiv
Liao, Kaifang; Zhang, Lei; Wei, Ting Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation. (English) Zbl 07757064 J. Inverse Ill-Posed Probl. 31, No. 5, 631-652 (2023). MSC: 65M32 65M30 65K10 65J20 33E12 26A33 35R11 35A01 35A02 15A69 74D10 35R30 35R25 35R60 PDF BibTeX XML Cite \textit{K. Liao} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 631--652 (2023; Zbl 07757064) Full Text: DOI
Alaifari, Rima; Alberti, Giovanni S.; Gauksson, Tandri Short communication: localized adversarial artifacts for compressed sensing MRI. (English) Zbl 07754948 SIAM J. Imaging Sci. 16, No. 4, SC14-SC26 (2023). MSC: 47A52 68T07 92C55 PDF BibTeX XML Cite \textit{R. Alaifari} et al., SIAM J. Imaging Sci. 16, No. 4, SC14-SC26 (2023; Zbl 07754948) Full Text: DOI
Garnier, Josselin; Haddar, Houssem; Montanelli, Hadrien The linear sampling method for random sources. (English) Zbl 07754940 SIAM J. Imaging Sci. 16, No. 3, 1572-1593 (2023). MSC: 35J05 35R30 65M30 65M32 PDF BibTeX XML Cite \textit{J. Garnier} et al., SIAM J. Imaging Sci. 16, No. 3, 1572--1593 (2023; Zbl 07754940) 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 PDF BibTeX XML Cite \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 07753748 Result. Math. 78, No. 6, Paper No. 235, 22 p. (2023). MSC: 65J10 65J20 65J22 47L10 PDF BibTeX XML Cite \textit{M. P. Rajan} and \textit{N. Salam}, Result. Math. 78, No. 6, Paper No. 235, 22 p. (2023; Zbl 07753748) Full Text: DOI
Zhong, Min; Hu, Yu Semi-discrete Tikhonov regularization in RKHS with large randomly distributed noise. (English) Zbl 07749163 Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023). MSC: 65Jxx 65Dxx 41Axx PDF BibTeX XML Cite \textit{M. Zhong} and \textit{Y. Hu}, Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023; Zbl 07749163) 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 PDF BibTeX XML Cite \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
Tsurumi, Hiroyuki The two-dimensional stationary Navier-Stokes equations in toroidal Besov spaces. (English) Zbl 07747175 Math. Nachr. 296, No. 4, 1651-1668 (2023). MSC: 35Q30 76D03 76D05 35A01 35A02 35R25 PDF BibTeX XML Cite \textit{H. Tsurumi}, Math. Nachr. 296, No. 4, 1651--1668 (2023; Zbl 07747175) Full Text: DOI
Caruso, Noè Angelo A note on the Krylov solvability of compact normal operators on Hilbert space. (English) Zbl 07746168 Complex Anal. Oper. Theory 17, No. 7, Paper No. 109, 12 p. (2023). MSC: 47-XX PDF BibTeX XML Cite \textit{N. A. Caruso}, Complex Anal. Oper. Theory 17, No. 7, Paper No. 109, 12 p. (2023; Zbl 07746168) Full Text: DOI arXiv OA License
Bhimani, Divyang G.; Haque, Saikatul Strong ill-posedness for fractional Hartree and cubic NLS equations. (English) Zbl 07744992 J. Funct. Anal. 285, No. 11, Article ID 110157, 47 p. (2023). MSC: 35Q55 35Q41 35Q40 42B35 35A01 35B65 81Q05 26A33 35R11 35R25 PDF BibTeX XML Cite \textit{D. G. Bhimani} and \textit{S. Haque}, J. Funct. Anal. 285, No. 11, Article ID 110157, 47 p. (2023; Zbl 07744992) Full Text: DOI arXiv
Fernández, José R.; Quintanilla, Ramón Uniqueness for a high order ill posed problem. (English) Zbl 1522.35570 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1425-1438 (2023). MSC: 35R25 35B40 35G16 35L35 80A17 74F05 PDF BibTeX XML Cite \textit{J. R. Fernández} and \textit{R. Quintanilla}, Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1425--1438 (2023; Zbl 1522.35570) Full Text: DOI OA License
Mahale, Pallavi; Singh, Ankit Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations. (English) Zbl 1521.65046 ETNA, Electron. Trans. Numer. Anal. 58, 450-469 (2023). MSC: 65J20 65J15 47J06 PDF BibTeX XML Cite \textit{P. Mahale} and \textit{A. Singh}, ETNA, Electron. Trans. Numer. Anal. 58, 450--469 (2023; Zbl 1521.65046) Full Text: DOI Link
Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob Least squares solvers for ill-posed PDEs that are conditionally stable. (English) Zbl 07739211 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2227-2255 (2023). MSC: 65-XX 35B30 35B35 35B45 35R25 65F08 65J20 65M12 65N12 PDF BibTeX XML Cite \textit{W. Dahmen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2227--2255 (2023; Zbl 07739211) Full Text: DOI arXiv
Neumayer, Sebastian; Unser, Michael Explicit representations for Banach subspaces of Lizorkin distributions. (English) Zbl 07735744 Anal. Appl., Singap. 21, No. 5, 1223-1250 (2023). MSC: 46F05 46A11 47A52 49J27 54B15 65D07 68T05 PDF BibTeX XML Cite \textit{S. Neumayer} and \textit{M. Unser}, Anal. Appl., Singap. 21, No. 5, 1223--1250 (2023; Zbl 07735744) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{T. Bechouat} and \textit{N. Boussetila}, Comput. Appl. Math. 42, No. 6, Paper No. 267, 16 p. (2023; Zbl 07735383) Full Text: DOI
Laneev, E. B.; Chernikova, N. Yu. Minimum principle for the Tikhonov functional in the problem of stable continuation of a potential field from a surface. (English. Russian original) Zbl 1522.35119 Differ. Equ. 59, No. 6, 769-780 (2023); translation from Differ. Uravn. 59, No. 6, 752-762 (2023). MSC: 35B50 35J05 35R25 PDF BibTeX XML Cite \textit{E. B. Laneev} and \textit{N. Yu. Chernikova}, Differ. Equ. 59, No. 6, 769--780 (2023; Zbl 1522.35119); translation from Differ. Uravn. 59, No. 6, 752--762 (2023) Full Text: DOI
Onisk, Lucas; Reichel, Lothar; Sadok, Hassane Numerical considerations of block GMRES methods when applied to linear discrete ill-posed problems. (English) Zbl 1518.65038 J. Comput. Appl. Math. 430, Article ID 115262, 15 p. (2023). MSC: 65F22 PDF BibTeX XML Cite \textit{L. Onisk} et al., J. Comput. Appl. Math. 430, Article ID 115262, 15 p. (2023; Zbl 1518.65038) Full Text: DOI
Dambrine, Marc; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jörg Stochastic elliptic inverse problems. Solvability, convergence rates, discretization, and applications. (English) Zbl 1522.35577 J. Convex Anal. 30, No. 3, 851-885 (2023). MSC: 35R30 35J25 35R60 49N45 65J20 65J22 65M30 PDF BibTeX XML Cite \textit{M. Dambrine} et al., J. Convex Anal. 30, No. 3, 851--885 (2023; Zbl 1522.35577) Full Text: Link
Bubba, Tatiana A.; Easley, Glenn; Heikkilä, Tommi; Labate, Demetrio; Ayllon, Jose P. Rodriguez Efficient representation of spatio-temporal data using cylindrical shearlets. (English) Zbl 1520.94005 J. Comput. Appl. Math. 429, Article ID 115206, 25 p. (2023). MSC: 94A08 92C55 42C10 42C40 47A52 PDF BibTeX XML Cite \textit{T. A. Bubba} et al., J. Comput. Appl. Math. 429, Article ID 115206, 25 p. (2023; Zbl 1520.94005) Full Text: DOI arXiv
An, Xinliang; Chen, Haoyang; Yin, Silu Low regularity ill-posedness for elastic waves driven by shock formation. (English) Zbl 1522.35338 Am. J. Math. 145, No. 4, 1111-1181 (2023). MSC: 35L72 35L52 35R25 74J30 PDF BibTeX XML Cite \textit{X. An} et al., Am. J. Math. 145, No. 4, 1111--1181 (2023; Zbl 1522.35338) Full Text: DOI arXiv
Habring, Andreas; Holler, Martin A note on the regularity of images generated by convolutional neural networks. (English) Zbl 1521.65045 SIAM J. Math. Data Sci. 5, No. 3, 670-692 (2023). MSC: 65J20 68T07 94A08 PDF BibTeX XML Cite \textit{A. Habring} and \textit{M. Holler}, SIAM J. Math. Data Sci. 5, No. 3, 670--692 (2023; Zbl 1521.65045) Full Text: DOI arXiv
Abdullah, Ala’ N.; Kashkool, Hashim A. The error convergence of the weak Galerkin method for two-dimensional non-linear convection-diffusion problem. (English) Zbl 07731224 Poincare J. Anal. Appl. 10, No. 1, 1-21 (2023). MSC: 65M12 65M30 65M60 PDF BibTeX XML Cite \textit{A. N. Abdullah} and \textit{H. A. Kashkool}, Poincare J. Anal. Appl. 10, No. 1, 1--21 (2023; Zbl 07731224) Full Text: Link
Rastogi, Abhishake; Mathé, Peter Inverse learning in Hilbert scales. (English) Zbl 07730683 Mach. Learn. 112, No. 7, 2469-2499 (2023). MSC: 68T05 62G20 62G08 65J15 65J20 65J22 PDF BibTeX XML Cite \textit{A. Rastogi} and \textit{P. Mathé}, Mach. Learn. 112, No. 7, 2469--2499 (2023; Zbl 07730683) Full Text: DOI arXiv
Ilkiv, V. S.; Strap, N. I.; Volyanska, I. I. Nonlocal boundary-value problem for an equation with differentiation operator \(z \partial/\partial z\) in a refined Sobolev scale. (English. Ukrainian original) Zbl 1521.35076 J. Math. Sci., New York 273, No. 6, 885-900 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 5-16 (2020). MSC: 35C10 35A01 35R25 PDF BibTeX XML Cite \textit{V. S. Ilkiv} et al., J. Math. Sci., New York 273, No. 6, 885--900 (2023; Zbl 1521.35076); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 5--16 (2020) Full Text: DOI
Chapouto, Andreia A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces. (English) Zbl 1522.35438 J. Dyn. Differ. Equations 35, No. 3, 2537-2578 (2023). MSC: 35Q53 35A01 35A02 35B65 35R25 PDF BibTeX XML Cite \textit{A. Chapouto}, J. Dyn. Differ. Equations 35, No. 3, 2537--2578 (2023; Zbl 1522.35438) Full Text: DOI arXiv
Laneev, Evgenii Borisovich; Ponomarenko, Ekaterina Yur’evna On a linear inverse potential problem with approximate data on the potential field on an approximately given surface. (English) Zbl 07726342 Eurasian Math. J. 14, No. 1, 55-70 (2023). MSC: 35R25 35R30 PDF BibTeX XML Cite \textit{E. B. Laneev} and \textit{E. Y. Ponomarenko}, Eurasian Math. J. 14, No. 1, 55--70 (2023; Zbl 07726342) Full Text: DOI MNR
Nguyen, Thi-An; Law, Chun-Kong Regularization operators versus regularization strategies. (English) Zbl 07726086 J. Inverse Ill-Posed Probl. 31, No. 4, 625-629 (2023). MSC: 47A52 PDF BibTeX XML Cite \textit{T.-A. Nguyen} and \textit{C.-K. Law}, J. Inverse Ill-Posed Probl. 31, No. 4, 625--629 (2023; Zbl 07726086) Full Text: DOI
Jenaliyev, Muvasharkhan T.; Bektemesov, Maktagali A.; Yergaliyev, Madi G. On an inverse problem for a linearized system of Navier-Stokes equations with a final overdetermination condition. (English) Zbl 1520.35113 J. Inverse Ill-Posed Probl. 31, No. 4, 611-624 (2023). MSC: 35Q30 35R30 35R25 76D05 35N25 35A01 35A02 PDF BibTeX XML Cite \textit{M. T. Jenaliyev} et al., J. Inverse Ill-Posed Probl. 31, No. 4, 611--624 (2023; Zbl 1520.35113) 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 PDF BibTeX XML Cite \textit{M. Ge} and \textit{D. Xu}, Appl. Anal. 102, No. 10, 2774--2794 (2023; Zbl 1522.35516) Full Text: DOI
Imanuvilov, Oleg Y.; Yamamoto, M. Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations. (English) Zbl 1520.35173 Appl. Anal. 102, No. 8, 2200-2210 (2023). MSC: 35R30 35R25 35Q30 PDF BibTeX XML Cite \textit{O. Y. Imanuvilov} and \textit{M. Yamamoto}, Appl. Anal. 102, No. 8, 2200--2210 (2023; Zbl 1520.35173) Full Text: DOI arXiv
Bredies, Kristian; Iglesias, José A.; Mercier, Gwenael Boundedness and unboundedness in total variation regularization. (English) Zbl 07725375 Appl. Math. Optim. 88, No. 2, Paper No. 51, 42 p. (2023). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 49Q20 47A52 65J20 65J22 PDF BibTeX XML Cite \textit{K. Bredies} et al., Appl. Math. Optim. 88, No. 2, Paper No. 51, 42 p. (2023; Zbl 07725375) Full Text: DOI arXiv
Colibazzi, Francesco; Lazzaro, Damiana; Morigi, Serena; Samoré, Andrea Deep-plug-and-play proximal Gauss-Newton method with applications to nonlinear, ill-posed inverse problems. (English) Zbl 07725199 Inverse Probl. Imaging 17, No. 6, 1226-1248 (2023). MSC: 65K10 68T20 PDF BibTeX XML Cite \textit{F. Colibazzi} et al., Inverse Probl. Imaging 17, No. 6, 1226--1248 (2023; Zbl 07725199) Full Text: DOI
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru Numerical reconstruction of radiative sources from partial boundary measurements. (English) Zbl 1522.65190 SIAM J. Imaging Sci. 16, No. 2, 948-968 (2023). MSC: 65N21 65N20 65N30 65R30 45E05 44A12 92C55 78A46 78A60 78M10 PDF BibTeX XML Cite \textit{H. Fujiwara} et al., SIAM J. Imaging Sci. 16, No. 2, 948--968 (2023; Zbl 1522.65190) Full Text: DOI arXiv
Yu, Shuang; Wang, Zewen; Yang, Hongqi Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation. (English) Zbl 1519.35370 Comput. Methods Appl. Math. 23, No. 3, 767-782 (2023). MSC: 35R30 35R11 35K20 47A52 PDF BibTeX XML Cite \textit{S. Yu} et al., Comput. Methods Appl. Math. 23, No. 3, 767--782 (2023; Zbl 1519.35370) 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 PDF BibTeX XML Cite \textit{F. Ollivier}, Appl. Algebra Eng. Commun. Comput. 34, No. 5, 793--885 (2023; Zbl 1520.12004) Full Text: DOI arXiv
Ishida, Akari A depth-dependent stability estimate in an iterative method for solving a Cauchy problem for the Laplace equation. (English) Zbl 1519.35365 Taiwanese J. Math. 27, No. 3, 577-609 (2023). MSC: 35R25 35B45 35G10 35J05 PDF BibTeX XML Cite \textit{A. Ishida}, Taiwanese J. Math. 27, No. 3, 577--609 (2023; Zbl 1519.35365) Full Text: DOI
Alimov, Shavkat Arifdjanovich; Qudaybergenov, Allambergen Kengesbaevich On the Cauchy problem for Laplace equation. (English) Zbl 07720358 Uzb. Math. J. 67, No. 2, 5-16 (2023). MSC: 35K05 35K15 PDF BibTeX XML Cite \textit{S. A. Alimov} and \textit{A. K. Qudaybergenov}, Uzb. Math. J. 67, No. 2, 5--16 (2023; Zbl 07720358) Full Text: DOI
Rajan, M. P.; Salam, Niloopher A modified convergence analysis for steepest descent scheme for solving nonlinear operator equation. (English) Zbl 1515.65134 Ann. Funct. Anal. 14, No. 3, Paper No. 63, 28 p. (2023). MSC: 65J15 65J20 65J22 PDF BibTeX XML Cite \textit{M. P. Rajan} and \textit{N. Salam}, Ann. Funct. Anal. 14, No. 3, Paper No. 63, 28 p. (2023; Zbl 1515.65134) Full Text: DOI
Nguyen Thi Ngoc Oanh; Le Thi Thu Giang The necessary optimal condition of inverse heat source problem. (English) Zbl 1518.35682 Evol. Equ. Control Theory 12, No. 5, 1433-1446 (2023). MSC: 35R30 35K20 65J20 65N21 PDF BibTeX XML Cite \textit{Nguyen Thi Ngoc Oanh} and \textit{Le Thi Thu Giang}, Evol. Equ. Control Theory 12, No. 5, 1433--1446 (2023; Zbl 1518.35682) 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 PDF BibTeX XML Cite \textit{M. Lei} et al., Int. J. Comput. Math. 100, No. 7, 1500--1511 (2023; Zbl 1515.65275) Full Text: DOI
Hua, Jiale; Xia, Lirong The non-uniqueness of admissible solutions to 2D Riemann problem of compressible isentropic Euler system with maximum density constraint. (English) Zbl 07716189 J. Hyperbolic Differ. Equ. 20, No. 1, 1-26 (2023). MSC: 76N10 35L65 35R25 35D30 PDF BibTeX XML Cite \textit{J. Hua} and \textit{L. Xia}, J. Hyperbolic Differ. Equ. 20, No. 1, 1--26 (2023; Zbl 07716189) Full Text: DOI
Li, Xiaosheng; Wang, Wei A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography. (English) Zbl 07715683 J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023). MSC: 65-XX 35R30 65J20 65N21 PDF BibTeX XML Cite \textit{X. Li} and \textit{W. Wang}, J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023; Zbl 07715683) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{B. Jin} and \textit{Ž. Kereta}, SIAM J. Imaging Sci. 16, No. 2, 671--705 (2023; Zbl 1518.65053) Full Text: DOI arXiv
Gao, Guangyu; Han, Bo; Fu, Zhenwu; Tong, Shanshan A fast data-driven iteratively regularized method with convex penalty for solving ill-posed problems. (English) Zbl 1516.65043 SIAM J. Imaging Sci. 16, No. 2, 640-670 (2023). MSC: 65J20 65N21 65R30 PDF BibTeX XML Cite \textit{G. Gao} et al., SIAM J. Imaging Sci. 16, No. 2, 640--670 (2023; Zbl 1516.65043) Full Text: DOI
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 PDF BibTeX XML Cite \textit{F. Hinterer} et al., SIAM J. Imaging Sci. 16, No. 1, 192--222 (2023; Zbl 1516.85001) Full Text: DOI arXiv
Nair, M. Thamban; Das Roy, Samprita A new regularization method for a parameter identification problem in a non-linear partial differential equation. (English) Zbl 07714484 J. Partial Differ. Equations 36, No. 2, 147-190 (2023). MSC: 35R30 65N30 65J15 65J20 76S05 PDF BibTeX XML Cite \textit{M. T. Nair} and \textit{S. Das Roy}, J. Partial Differ. Equations 36, No. 2, 147--190 (2023; Zbl 07714484) Full Text: DOI arXiv
Kokurin, M. Yu. Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems. (English. Russian original) Zbl 1514.65118 Comput. Math. Math. Phys. 63, No. 5, 881-896 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 840-855 (2023). MSC: 65M32 49N45 47A52 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 63, No. 5, 881--896 (2023; Zbl 1514.65118); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 840--855 (2023) Full Text: DOI
Klibanov, Michael V. The mean field games system: Carleman estimates, Lipschitz stability and uniqueness. (English) Zbl 1518.35677 J. Inverse Ill-Posed Probl. 31, No. 3, 455-466 (2023). MSC: 35R30 35Q89 91A16 PDF BibTeX XML Cite \textit{M. V. Klibanov}, J. Inverse Ill-Posed Probl. 31, No. 3, 455--466 (2023; Zbl 1518.35677) Full Text: DOI arXiv
Bai, Xiangyu; Sun, Jiebao; Shen, Jie; Yao, Wenjuan; Guo, Zhichang A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. (English) Zbl 1522.65164 J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023). MSC: 65M32 65M30 65M06 65M50 65H10 65D18 68U10 94A08 35A15 35R09 35Q56 35B05 PDF BibTeX XML Cite \textit{X. Bai} et al., J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023; Zbl 1522.65164) Full Text: DOI
Attouch, Hedy; Balhag, Aïcha; Chbani, Zaki; Riahi, Hassan Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian. (English) Zbl 1522.37096 Appl. Math. Optim. 88, No. 2, Paper No. 29, 52 p. (2023). MSC: 37N40 46N10 65K05 65K10 65K15 65L08 65L09 90B50 90C25 PDF BibTeX XML Cite \textit{H. Attouch} et al., Appl. Math. Optim. 88, No. 2, Paper No. 29, 52 p. (2023; Zbl 1522.37096) Full Text: DOI arXiv
Garde, H.; Hyvönen, N.; Kuutela, T. Series reversion for electrical impedance tomography with modeling errors. (English) Zbl 07707685 Inverse Probl. 39, No. 8, Article ID 085007, 28 p. (2023). Reviewer: Petr Sváček (Praha) MSC: 65N21 65N30 65N50 65K10 65J20 65N15 62F15 41A58 78A45 78A46 78M10 78M50 35R30 PDF BibTeX XML Cite \textit{H. Garde} et al., Inverse Probl. 39, No. 8, Article ID 085007, 28 p. (2023; Zbl 07707685) 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 PDF BibTeX XML Cite \textit{Q. Jin} and \textit{W. Wang}, Inverse Probl. 39, No. 8, Article ID 085005, 34 p. (2023; Zbl 07707683) Full Text: DOI arXiv
Obmann, Daniel; Haltmeier, Markus Convergence analysis of critical point regularization with non-convex regularizers. (English) Zbl 1520.65035 Inverse Probl. 39, No. 8, Article ID 085004, 23 p. (2023). MSC: 65J22 65J20 PDF BibTeX XML Cite \textit{D. Obmann} and \textit{M. Haltmeier}, Inverse Probl. 39, No. 8, Article ID 085004, 23 p. (2023; Zbl 1520.65035) Full Text: DOI arXiv
Pieronek, Lukas; Rieder, Andreas On the iterative regularization of non-linear illposed problems in \(L^{\infty}\). (English) Zbl 1521.65047 Numer. Math. 154, No. 1-2, 209-247 (2023). MSC: 65J20 65J22 65N20 PDF BibTeX XML Cite \textit{L. Pieronek} and \textit{A. Rieder}, Numer. Math. 154, No. 1--2, 209--247 (2023; Zbl 1521.65047) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 07705593 Int. J. Comput. Math. 100, No. 4, 722-744 (2023). MSC: 65J10 65J20 65J22 PDF BibTeX XML Cite \textit{S. Patel} et al., Int. J. Comput. Math. 100, No. 4, 722--744 (2023; Zbl 07705593) Full Text: DOI
Jahn, Tim Noise level free regularization of general linear inverse problems under unconstrained white noise. (English) Zbl 1514.65066 SIAM/ASA J. Uncertain. Quantif. 11, 591-615 (2023). MSC: 65J20 62G07 PDF BibTeX XML Cite \textit{T. Jahn}, SIAM/ASA J. Uncertain. Quantif. 11, 591--615 (2023; Zbl 1514.65066) Full Text: DOI arXiv
Marchena-Menendez, Jorge; Kirby, Robert C. Additive Schwarz methods for serendipity elements. (English) Zbl 07704380 SIAM J. Sci. Comput. 45, No. 3, S401-S420 (2023). MSC: 65M30 65N55 65F08 PDF BibTeX XML Cite \textit{J. Marchena-Menendez} and \textit{R. C. Kirby}, SIAM J. Sci. Comput. 45, No. 3, S401--S420 (2023; Zbl 07704380) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{X. Gong} and \textit{S. Yang}, Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023; Zbl 1518.35028) Full Text: DOI
Li, Jinlu; Wu, Xing; Yu, Yanghai; Zhu, Weipeng Norm inflation and ill-posedness for the Fornberg-Whitham equation. (English) Zbl 1517.35195 J. Differ. Equations 368, 301-316 (2023). MSC: 35Q53 35B35 35C06 35R25 PDF BibTeX XML Cite \textit{J. Li} et al., J. Differ. Equations 368, 301--316 (2023; Zbl 1517.35195) Full Text: DOI arXiv
Vo Anh Khoa; Nguyen Dat Thuc; Gunaratne, Ajith Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data. (English) Zbl 07700177 BIT 63, No. 2, Paper No. 37, 42 p. (2023). MSC: 65J05 65J20 35K92 PDF BibTeX XML Cite \textit{Vo Anh Khoa} et al., BIT 63, No. 2, Paper No. 37, 42 p. (2023; Zbl 07700177) Full Text: DOI arXiv
Harris, Isaac A direct method for reconstructing inclusions and boundary conditions from electrostatic data. (English) Zbl 1518.35250 Appl. Anal. 102, No. 5, 1511-1529 (2023). MSC: 35J05 45Q05 65R30 PDF BibTeX XML Cite \textit{I. Harris}, Appl. Anal. 102, No. 5, 1511--1529 (2023; Zbl 1518.35250) Full Text: DOI arXiv
Jbalia, A. Stability estimate for an inverse problem of a hyperbolic heat equation from boundary measurement. (English) Zbl 1517.35261 Indian J. Pure Appl. Math. 54, No. 1, 241-252 (2023). MSC: 35R30 35R25 35B35 35J25 35L20 PDF BibTeX XML Cite \textit{A. Jbalia}, Indian J. Pure Appl. Math. 54, No. 1, 241--252 (2023; Zbl 1517.35261) Full Text: DOI
Alkilayh, Maged; Reichel, Lothar Some numerical aspects of Arnoldi-Tikhonov regularization. (English) Zbl 1522.65055 Appl. Numer. Math. 185, 503-515 (2023). MSC: 65F22 65K05 PDF BibTeX XML Cite \textit{M. Alkilayh} and \textit{L. Reichel}, Appl. Numer. Math. 185, 503--515 (2023; Zbl 1522.65055) Full Text: DOI
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio; Romero, Francisco A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. (English) Zbl 07698612 Found. Comput. Math. 23, No. 3, 833-898 (2023). MSC: 65K10 65J20 90C49 28A33 35F05 PDF BibTeX XML Cite \textit{K. Bredies} et al., Found. Comput. Math. 23, No. 3, 833--898 (2023; Zbl 07698612) Full Text: DOI arXiv
Mahale, Pallavi; Shaikh, Farheen M. Simplified Levenberg-Marquardt method in Hilbert spaces. (English) Zbl 07697882 Comput. Methods Appl. Math. 23, No. 1, 251-276 (2023). MSC: 47J06 65F22 65J22 PDF BibTeX XML Cite \textit{P. Mahale} and \textit{F. M. Shaikh}, Comput. Methods Appl. Math. 23, No. 1, 251--276 (2023; Zbl 07697882) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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