Storn, Johannes Solving minimal residual methods in \(W^{-1,p'}\) with large exponents \(p\). (English) Zbl 07823286 J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024). MSC: 65N22 65N30 65N12 65N15 65N20 49M29 49M20 35B65 35A01 35A02 35R25 47J25 PDFBibTeX XMLCite \textit{J. Storn}, J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024; Zbl 07823286) Full Text: DOI arXiv OA License
Trong, Dang Duc; Duy, Bui Thanh; Minh, Nguyen Dang; Thang, Luu Xuan Cauchy problem for a semilinear elliptic equation with contaminated coefficients. (English) Zbl 07822361 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107884, 25 p. (2024). MSC: 35J61 35R25 47J06 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107884, 25 p. (2024; Zbl 07822361) Full Text: DOI
Eller, Matthias; Griesmaier, Roland; Rieder, Andreas Tangential cone condition for the full waveform forward operator in the viscoelastic regime: the nonlocal case. (English) Zbl 07821809 SIAM J. Appl. Math. 84, No. 2, 412-432 (2024). MSC: 35R30 35L05 65J20 PDFBibTeX XMLCite \textit{M. Eller} et al., SIAM J. Appl. Math. 84, No. 2, 412--432 (2024; Zbl 07821809) Full Text: DOI
Dinh Nho Hào; Le Thi Thu Giang; Nguyen Thi Ngoc Oanh Determination of the right-hand side in elliptic equations. (English) Zbl 07820223 Optimization 73, No. 4, 1195-1227 (2024). MSC: 35J15 35R30 65J20 65N21 PDFBibTeX XMLCite \textit{Dinh Nho Hào} et al., Optimization 73, No. 4, 1195--1227 (2024; Zbl 07820223) Full Text: DOI
Mondal, Subhankar On backward fractional pseudo parabolic equation: regularization by quasi-boundary value method, convergence rates. (English) Zbl 07820053 Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 5, 20 p. (2024). MSC: 35R30 35R25 35K70 35R11 26A33 PDFBibTeX XMLCite \textit{S. Mondal}, Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 5, 20 p. (2024; Zbl 07820053) Full Text: DOI
Rastogi, Abhishake Nonlinear Tikhonov regularization in Hilbert scales for inverse learning. (English) Zbl 07820041 J. Complexity 82, Article ID 101824, 17 p. (2024). MSC: 62G20 62G08 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi}, J. Complexity 82, Article ID 101824, 17 p. (2024; Zbl 07820041) Full Text: DOI
Gobbino, Massimo; Picenni, Nicola Monotonicity properties of limits of solutions to the semidiscrete scheme for a class of Perona-Malik type equations. (English) Zbl 07817052 SIAM J. Math. Anal. 56, No. 2, 2034-2062 (2024). MSC: 35D30 35K59 39A12 47J06 PDFBibTeX XMLCite \textit{M. Gobbino} and \textit{N. Picenni}, SIAM J. Math. Anal. 56, No. 2, 2034--2062 (2024; Zbl 07817052) Full Text: DOI arXiv
Binev, Peter; Bonito, Andrea; DeVore, Ronald; Petrova, Guergana Optimal learning. (English) Zbl 07814909 Calcolo 61, No. 1, Paper No. 15, 37 p. (2024). MSC: 68T05 65J20 62J05 PDFBibTeX XMLCite \textit{P. Binev} et al., Calcolo 61, No. 1, Paper No. 15, 37 p. (2024; Zbl 07814909) Full Text: DOI arXiv
Bocchinfuso, A.; Calvetti, D.; Somersalo, E. Adaptive anisotropic Bayesian meshing for inverse problems. (English) Zbl 07813322 Inverse Probl. 40, No. 4, Article ID 045008, 32 p. (2024). MSC: 65N21 65N20 65N30 65J20 65K10 65N15 62F15 62C10 60H40 35R60 PDFBibTeX XMLCite \textit{A. Bocchinfuso} et al., Inverse Probl. 40, No. 4, Article ID 045008, 32 p. (2024; Zbl 07813322) Full Text: DOI OA License
Duchêne, Vincent; Melinand, Benjamin Rectification of a deep water model for surface gravity waves. (English) Zbl 07812519 Pure Appl. Anal. 6, No. 1, 73-128 (2024). MSC: 35Q35 76B07 76B03 76E30 76M22 35G25 35B65 35R25 35R35 65M30 35A01 35A02 PDFBibTeX XMLCite \textit{V. Duchêne} and \textit{B. Melinand}, Pure Appl. Anal. 6, No. 1, 73--128 (2024; Zbl 07812519) Full Text: DOI arXiv
Duval, Vincent; Tovey, Robert Dynamical programming for off-the-grid dynamic inverse problems. (English) Zbl 07810320 ESAIM, Control Optim. Calc. Var. 30, Paper No. 7, 40 p. (2024). MSC: 28A33 65K10 65J20 90C49 PDFBibTeX XMLCite \textit{V. Duval} and \textit{R. Tovey}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 7, 40 p. (2024; Zbl 07810320) Full Text: DOI arXiv
Zong, Chunxiang; Tang, Yuchao; Zhang, Guofeng An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration. (English) Zbl 07808325 Optimization 73, No. 2, 401-428 (2024). MSC: 47A52 47H05 47N10 90C25 PDFBibTeX XMLCite \textit{C. Zong} et al., Optimization 73, No. 2, 401--428 (2024; Zbl 07808325) Full Text: DOI
Jeong, In-Jee; Kim, Junha Strong ill-posedness for SQG in critical Sobolev spaces. (English) Zbl 07807512 Anal. PDE 17, No. 1, 133-170 (2024). MSC: 35Q35 76B47 76U60 35R25 86A05 35D30 35A01 PDFBibTeX XMLCite \textit{I.-J. Jeong} and \textit{J. Kim}, Anal. PDE 17, No. 1, 133--170 (2024; Zbl 07807512) Full Text: DOI arXiv
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
Cui, Zhuo-Xu; Zhu, Qingyong; Cheng, Jing; Zhang, Bo; Liang, Dong Deep unfolding as iterative regularization for imaging inverse problems. (English) Zbl 07805843 Inverse Probl. 40, No. 2, Article ID 025011, 31 p. (2024). MSC: 65J20 94A08 47A52 PDFBibTeX XMLCite \textit{Z.-X. Cui} et al., Inverse Probl. 40, No. 2, Article ID 025011, 31 p. (2024; Zbl 07805843) Full Text: DOI arXiv
Solodky, S. G.; Stasyuk, S. A. The minimal radius of Galerkin information for the problem of numerical differentiation. (English) Zbl 07805470 J. Complexity 81, Article ID 101787, 23 p. (2024). MSC: 65D25 42C10 65J20 PDFBibTeX XMLCite \textit{S. G. Solodky} and \textit{S. A. Stasyuk}, J. Complexity 81, Article ID 101787, 23 p. (2024; Zbl 07805470) Full Text: DOI
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
Ma, Wenjun; Sun, Liangliang Simultaneous recovery of two time-dependent coefficients in a multi-term time-fractional diffusion equation. (English) Zbl 07804034 Comput. Methods Appl. Math. 24, No. 1, 59-83 (2024). MSC: 35R30 35R25 35R11 65M30 PDFBibTeX XMLCite \textit{W. Ma} and \textit{L. Sun}, Comput. Methods Appl. Math. 24, No. 1, 59--83 (2024; Zbl 07804034) 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
Yarovenko, Ivan P.; Prokhorov, Igor V. An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations. (English) Zbl 07803163 J. Inverse Ill-Posed Probl. 32, No. 1, 57-74 (2024). MSC: 65M32 65M30 65N21 65N20 65B05 65M15 92C55 44A12 35R09 35B40 35R30 35R25 85A25 94A08 94A12 PDFBibTeX XMLCite \textit{I. P. Yarovenko} and \textit{I. V. Prokhorov}, J. Inverse Ill-Posed Probl. 32, No. 1, 57--74 (2024; Zbl 07803163) Full Text: DOI
Nair, M. Thamban; Danumjaya, P. A new regularization for time-fractional backward heat conduction problem. (English) Zbl 07803162 J. Inverse Ill-Posed Probl. 32, No. 1, 41-56 (2024). MSC: 35R30 35R25 35R11 35K05 26A33 33E12 PDFBibTeX XMLCite \textit{M. T. Nair} and \textit{P. Danumjaya}, J. Inverse Ill-Posed Probl. 32, No. 1, 41--56 (2024; Zbl 07803162) Full Text: DOI arXiv
Nguyen Van Duc; Dinh Nho Hào; Shishlenin, Maxim Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations. (English) Zbl 07803160 J. Inverse Ill-Posed Probl. 32, No. 1, 9-20 (2024). MSC: 35R25 35K90 PDFBibTeX XMLCite \textit{Nguyen Van Duc} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 9--20 (2024; Zbl 07803160) Full Text: DOI
Real, Rommel R. Hanke-Raus rule for Landweber iteration in Banach spaces. (English) Zbl 07802490 Numer. Math. 156, No. 1, 345-373 (2024). MSC: 65J20 PDFBibTeX XMLCite \textit{R. R. Real}, Numer. Math. 156, No. 1, 345--373 (2024; Zbl 07802490) Full Text: DOI
Li, Haibo Double precision is not necessary for LSQR for solving discrete linear ill-posed problems. (English) Zbl 07802474 J. Sci. Comput. 98, No. 3, Paper No. 55, 30 p. (2024). MSC: 65F22 65F10 65G50 PDFBibTeX XMLCite \textit{H. Li}, J. Sci. Comput. 98, No. 3, Paper No. 55, 30 p. (2024; Zbl 07802474) Full Text: DOI
Chiodaroli, Elisabetta; Feireisl, Eduard Glimm’s method and density of wild data for the Euler system of gas dynamics. (English) Zbl 07801567 Nonlinearity 37, No. 3, Article ID 035005, 12 p. (2024). MSC: 35Q31 76N10 76N15 35L65 35B65 35D30 35C05 35R25 PDFBibTeX XMLCite \textit{E. Chiodaroli} and \textit{E. Feireisl}, Nonlinearity 37, No. 3, Article ID 035005, 12 p. (2024; Zbl 07801567) Full Text: DOI arXiv
Chen, Qionglei; Nie, Yao; Ye, Weikui Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces. (English) Zbl 07797701 J. Funct. Anal. 286, No. 6, Article ID 110302, 22 p. (2024). MSC: 35Q35 76W05 76D05 35R25 35A01 35A02 46E35 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Funct. Anal. 286, No. 6, Article ID 110302, 22 p. (2024; Zbl 07797701) Full Text: DOI
Nguyen Van Duc; Thi-Phong Nguyen A regularization method for Caputo fractional derivatives in the Banach space \(L^\infty [0, T]\). (English) Zbl 07792409 Numer. Algorithms 95, No. 2, 1033-1053 (2024). MSC: 65J20 PDFBibTeX XMLCite \textit{Nguyen Van Duc} and \textit{Thi-Phong Nguyen}, Numer. Algorithms 95, No. 2, 1033--1053 (2024; Zbl 07792409) Full Text: DOI
Bucataru, Mihai; Marin, Liviu Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 07792394 Numer. Algorithms 95, No. 2, 605-636 (2024). MSC: 65N21 35R30 35R25 35J25 65J20 65N20 PDFBibTeX XMLCite \textit{M. Bucataru} and \textit{L. Marin}, Numer. Algorithms 95, No. 2, 605--636 (2024; Zbl 07792394) Full Text: DOI
Camps, Nicolas; Gassot, Louise; Ibrahim, Slim Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation. (English) Zbl 07791844 J. Differ. Equations 380, 443-490 (2024). MSC: 35Q55 35Q41 35A01 35A02 60B15 35R25 35R60 PDFBibTeX XMLCite \textit{N. Camps} et al., J. Differ. Equations 380, 443--490 (2024; Zbl 07791844) Full Text: DOI arXiv
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
Li, Housen; Werner, Frank Adaptive minimax optimality in statistical inverse problems via SOLIT – sharp optimal Lepskiĭ-inspired tuning. (English) Zbl 07790256 Inverse Probl. 40, No. 2, Article ID 025005, 29 p. (2024). MSC: 47A52 PDFBibTeX XMLCite \textit{H. Li} and \textit{F. Werner}, Inverse Probl. 40, No. 2, Article ID 025005, 29 p. (2024; Zbl 07790256) Full Text: DOI arXiv OA License
Hào, Dinh-Nho; Le, Thuy T.; Nguyen, Loc H. The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. (English) Zbl 07784317 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107679, 13 p. (2024). MSC: 65L10 35R30 35R25 35R15 35K55 PDFBibTeX XMLCite \textit{D.-N. Hào} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107679, 13 p. (2024; Zbl 07784317) Full Text: DOI arXiv
Vincent, J.; Tenore, A.; Mattei, M. R.; Frunzo, L. Modelling drinking water biofilms: bacterial adhesion and Legionella pneumophila necrotrophic growth. (English) Zbl 07784286 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107639, 20 p. (2024). MSC: 35Q92 92D25 92C37 92C70 92C75 35R25 PDFBibTeX XMLCite \textit{J. Vincent} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107639, 20 p. (2024; Zbl 07784286) 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
Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael Linear inverse problems with Hessian-Schatten total variation. (English) Zbl 07782500 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 9, 28 p. (2024). MSC: 46N10 49N45 94A12 26A45 47A52 49J45 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 9, 28 p. (2024; Zbl 07782500) Full Text: DOI arXiv OA License
Fu, Jun-Liang; Liu, Jijun Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm. (English) Zbl 07780886 Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024). MSC: 65M32 65M06 65N06 65M15 65Y05 35R25 35R30 PDFBibTeX XMLCite \textit{J.-L. Fu} and \textit{J. Liu}, Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024; Zbl 07780886) Full Text: DOI
Eliasof, Moshe; Haber, Eldad; Treister, Eran DRIP: deep regularizers for inverse problems. (English) Zbl 07780882 Inverse Probl. 40, No. 1, Article ID 015006, 19 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65J20 65K10 68T09 68T07 68U10 90C06 PDFBibTeX XMLCite \textit{M. Eliasof} et al., Inverse Probl. 40, No. 1, Article ID 015006, 19 p. (2024; Zbl 07780882) Full Text: DOI arXiv
Munier, Nathanaël; Soubies, Emmanuel; Weiss, Pierre The MLE is a reliable source: sharp performance guarantees for localization problems. (English) Zbl 07780876 Inverse Probl. 40, No. 1, Article ID 014001, 32 p. (2024). MSC: 94A12 94A13 65J20 60G15 PDFBibTeX XMLCite \textit{N. Munier} et al., Inverse Probl. 40, No. 1, Article ID 014001, 32 p. (2024; Zbl 07780876) Full Text: DOI
Pouchol, Camille; Verdier, Olivier Linear inverse problems with nonnegativity constraints: singularity of optimisers. (English) Zbl 07777227 Inverse Probl. Imaging 18, No. 1, 138-164 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65J20 49K99 PDFBibTeX XMLCite \textit{C. Pouchol} and \textit{O. Verdier}, Inverse Probl. Imaging 18, No. 1, 138--164 (2024; Zbl 07777227) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 1527.35489 J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 35R11 65M32 35R25 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai}, J. Math. Anal. Appl. 530, No. 2, Article ID 127721, 35 p. (2024; Zbl 1527.35489) 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 PDFBibTeX XMLCite \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 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
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 PDFBibTeX XMLCite \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
Garde, Henrik; Hirvensalo, Markus Linearised Calderón problem: Reconstruction of unbounded perturbations in 3D. arXiv:2403.16588 Preprint, arXiv:2403.16588 [math.AP] (2024). MSC: 35R30 35R25 BibTeX Cite \textit{H. Garde} and \textit{M. Hirvensalo}, ``Linearised Calder\'on problem: Reconstruction of unbounded perturbations in 3D'', Preprint, arXiv:2403.16588 [math.AP] (2024) Full Text: arXiv OA License
Zhou, Zehui On the Convergence of A Data-Driven Regularized Stochastic Gradient Descent for Nonlinear Ill-Posed Problems. arXiv:2403.11787 Preprint, arXiv:2403.11787 [math.NA] (2024). MSC: 65J20 65J22 47J06 BibTeX Cite \textit{Z. Zhou}, ``On the Convergence of A Data-Driven Regularized Stochastic Gradient Descent for Nonlinear Ill-Posed Problems'', Preprint, arXiv:2403.11787 [math.NA] (2024) Full Text: arXiv OA License
Chen, Gaoming; Santosa, Fadil; Titi, Aseel Determination of a Small Elliptical Anomaly in Electrical Impedance Tomography using Minimal Measurements. arXiv:2403.11365 Preprint, arXiv:2403.11365 [math.NA] (2024). MSC: 35R25 35R30 62F15 62K05 BibTeX Cite \textit{G. Chen} et al., ``Determination of a Small Elliptical Anomaly in Electrical Impedance Tomography using Minimal Measurements'', Preprint, arXiv:2403.11365 [math.NA] (2024) Full Text: arXiv OA License
Choulli, Mourad Comments on the quantitative uniqueness of continuation for evolution equations. arXiv:2403.09564 Preprint, arXiv:2403.09564 [math.AP] (2024). MSC: 35K05 35L05 35R25 BibTeX Cite \textit{M. Choulli}, ``Comments on the quantitative uniqueness of continuation for evolution equations'', Preprint, arXiv:2403.09564 [math.AP] (2024) Full Text: arXiv OA License
Gautam, Pankaj; Grasmair, Markus Parameter identification in PDEs by the solution of monotone inclusion problems. arXiv:2403.04557 Preprint, arXiv:2403.04557 [math.NA] (2024). MSC: 65J20 47H05 47J06 49J20 BibTeX Cite \textit{P. Gautam} and \textit{M. Grasmair}, ``Parameter identification in PDEs by the solution of monotone inclusion problems'', Preprint, arXiv:2403.04557 [math.NA] (2024) Full Text: arXiv OA License
Autio, Antti; Garde, Henrik; Hirvensalo, Markus; Hyvönen, Nuutti Linearization-based direct reconstruction for EIT using triangular Zernike decompositions. arXiv:2403.03320 Preprint, arXiv:2403.03320 [math.NA] (2024). MSC: 65N21 65N20 35R30 35R25 BibTeX Cite \textit{A. Autio} et al., ``Linearization-based direct reconstruction for EIT using triangular Zernike decompositions'', Preprint, arXiv:2403.03320 [math.NA] (2024) Full Text: arXiv OA License
Li, Haibo Projected Newton method for large-scale Bayesian linear inverse problems. arXiv:2403.01920 Preprint, arXiv:2403.01920 [math.NA] (2024). MSC: 65J20 65K10 90C06 65F10 BibTeX Cite \textit{H. Li}, ``Projected Newton method for large-scale Bayesian linear inverse problems'', Preprint, arXiv:2403.01920 [math.NA] (2024) Full Text: arXiv OA License
Burman, Erik; Oksanen, Lauri; Zhao, Ziyao Computational unique continuation with finite dimensional Neumann trace. arXiv:2402.13695 Preprint, arXiv:2402.13695 [math.NA] (2024). MSC: 65N20 BibTeX Cite \textit{E. Burman} et al., ``Computational unique continuation with finite dimensional Neumann trace'', Preprint, arXiv:2402.13695 [math.NA] (2024) Full Text: arXiv OA License
Weissinger, Lukas; Hubmer, Simon; Ramlau, Ronny; Voss, Henning Uwe An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain. arXiv:2402.09803 Preprint, arXiv:2402.09803 [math.NA] (2024). MSC: 47J06 65J22 65J20 47A52 BibTeX Cite \textit{L. Weissinger} et al., ``An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain'', Preprint, arXiv:2402.09803 [math.NA] (2024) Full Text: arXiv OA License
Bajpai, Harshit; Mittal, Gaurav; Giri, Ankik Kumar Stochastic Data-Driven Bouligand Landweber Method for Solving Non-smooth Inverse Problems. arXiv:2402.04772 Preprint, arXiv:2402.04772 [math.FA] (2024). MSC: 47H17 65J15 65J20 BibTeX Cite \textit{H. Bajpai} et al., ``Stochastic Data-Driven Bouligand Landweber Method for Solving Non-smooth Inverse Problems'', Preprint, arXiv:2402.04772 [math.FA] (2024) Full Text: arXiv OA License
Kretschmann, Remo; Werner, Frank Maximum a posteriori testing in statistical inverse problems. arXiv:2402.00686 Preprint, arXiv:2402.00686 [math.ST] (2024). MSC: 47A52 62F15 62G10 62G20 65J20 65J22 BibTeX Cite \textit{R. Kretschmann} and \textit{F. Werner}, ``Maximum a posteriori testing in statistical inverse problems'', Preprint, arXiv:2402.00686 [math.ST] (2024) Full Text: arXiv OA License
Demattè, Elena; Jang, Jin Woo; Velázquez, Juan J. L. Compactness and existence theory for a general class of stationary radiative transfer equations. arXiv:2401.12828 Preprint, arXiv:2401.12828 [math.AP] (2024). MSC: 35Q31 85A25 76N10 35R25 35A02 BibTeX Cite \textit{E. Demattè} et al., ``Compactness and existence theory for a general class of stationary radiative transfer equations'', Preprint, arXiv:2401.12828 [math.AP] (2024) Full Text: arXiv OA License
Deng, Yu; Fischer, Hans-Jürgen; Hofmann, Bernd The degree of ill-posedness for some composition governed by the Cesaro operator. arXiv:2401.11411 Preprint, arXiv:2401.11411 [math.NA] (2024). MSC: 47A52 47B06 65J20 40G05 BibTeX Cite \textit{Y. Deng} et al., ``The degree of ill-posedness for some composition governed by the Cesaro operator'', Preprint, arXiv:2401.11411 [math.NA] (2024) Full Text: arXiv OA License
Del Santo, Daniele; Prizzi, Martino Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients. arXiv:2401.03837 Preprint, arXiv:2401.03837 [math.AP] (2024). MSC: 35B30 35K10 35R25 BibTeX Cite \textit{D. Del Santo} and \textit{M. Prizzi}, ``Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients'', Preprint, arXiv:2401.03837 [math.AP] (2024) Full Text: arXiv OA License
Pfefferer, Johannes; Vexler, Boris Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. arXiv:2401.02399 Preprint, arXiv:2401.02399 [math.NA] (2024). MSC: 35J05 49J20 49M25 65N15 65M30 BibTeX Cite \textit{J. Pfefferer} and \textit{B. Vexler}, ``Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains'', Preprint, arXiv:2401.02399 [math.NA] (2024) Full Text: arXiv OA License
Pyatkov, Sergey Grigorievich Identification of the Heat Transfer Coefficient Using an Inverse Heat Conduction Model. arXiv:2401.01551 Preprint, arXiv:2401.01551 [math.AP] (2024). MSC: 35R30 35R25 35K57 BibTeX Cite \textit{S. G. Pyatkov}, ``Identification of the Heat Transfer Coefficient Using an Inverse Heat Conduction Model'', Preprint, arXiv:2401.01551 [math.AP] (2024) Full Text: DOI arXiv OA License
Jauberteau, François; Nachaoui, Mourad; Zaroual, Sara A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels. (English) Zbl 07822837 Laghrib, Amine (ed.) et al., New trends of mathematical inverse problems and applications. ICNTAM 2022. Selected papers based on the presentations at the international conference, Béni Mellal, Morocco, May 19–21, 2022. Cham: Springer. Springer Proc. Math. Stat. 428, 157-175 (2023). MSC: 65M32 65N30 65J20 90C52 49N45 46E22 35R60 35A01 PDFBibTeX XMLCite \textit{F. Jauberteau} et al., Springer Proc. Math. Stat. 428, 157--175 (2023; Zbl 07822837) Full Text: DOI
Bao, Gang Mathematical analysis and numerical methods for inverse scattering problems. (English) Zbl 07822583 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5034-5055 (2023). MSC: 65N21 65N20 65C05 65H10 65N12 35A01 35R30 35R25 78A46 78A25 78M31 81V45 60H40 35Q60 35R60 PDFBibTeX XMLCite \textit{G. Bao}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5034--5055 (2023; Zbl 07822583) Full Text: DOI OA License
Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. (English) Zbl 07818964 Fract. Differ. Calc. 13, No. 1, 87-104 (2023). MSC: 35C10 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Differ. Calc. 13, No. 1, 87--104 (2023; Zbl 07818964) Full Text: DOI arXiv
Nam, Bui Duc; Dai, Le Xuan; Long, Le Dinh; Tuan, Nguyen Hoang On inverse source problem for Sobolev equation with Mittag-Leffler kernel in \(L^r\) space. (English) Zbl 07816836 Bull. Math. Anal. Appl. 15, No. 4, 21-33 (2023). MSC: 35R30 35R11 35K70 47J06 47H10 PDFBibTeX XMLCite \textit{B. D. Nam} et al., Bull. Math. Anal. Appl. 15, No. 4, 21--33 (2023; Zbl 07816836) Full Text: Link
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
Ageev, A. L.; Antonova, T. V. A study of new methods for localizing discontinuity lines on extended correctness classes. (English. Russian original) Zbl 07805763 Proc. Steklov Inst. Math. 323, Suppl. 1, S19-S31 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 10-22 (2023). MSC: 65F22 PDFBibTeX XMLCite \textit{A. L. Ageev} and \textit{T. V. Antonova}, Proc. Steklov Inst. Math. 323, S19--S31 (2023; Zbl 07805763); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 10--22 (2023) Full Text: DOI
Juraev, Davron Aslonqulovich The Cauchy problem for matrix factorization of the Helmholtz equation in a multidimensional unbounded domain. (English) Zbl 07805706 Bol. Soc. Parana. Mat. (3) 41, Paper No. 148, 18 p. (2023). MSC: 35J46 35J56 PDFBibTeX XMLCite \textit{D. A. Juraev}, Bol. Soc. Parana. Mat. (3) 41, Paper No. 148, 18 p. (2023; Zbl 07805706) Full Text: DOI
Meddahi, Salim An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity. (English) Zbl 07805003 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023). MSC: 65M30 65M12 65M15 74H15 PDFBibTeX XMLCite \textit{S. Meddahi}, Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023; Zbl 07805003) Full Text: DOI
Mehrenberger, Michel; Navoret, Laurent; Vu, Anh-Tuan Composition schemes for the guiding-center model. (English) Zbl 07802994 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 239-247 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M22 65L08 35Q49 82D75 PDFBibTeX XMLCite \textit{M. Mehrenberger} et al., Springer Proc. Math. Stat. 433, 239--247 (2023; Zbl 07802994) Full Text: DOI
Hubmer, Simon; Sherina, Ekaterina; Ramlau, Ronny Characterizations of adjoint Sobolev embedding operators with applications in inverse problems. (English) Zbl 07799511 ETNA, Electron. Trans. Numer. Anal. 59, 116-144 (2023). MSC: 46N40 46E35 47A52 65J20 PDFBibTeX XMLCite \textit{S. Hubmer} et al., ETNA, Electron. Trans. Numer. Anal. 59, 116--144 (2023; Zbl 07799511) Full Text: DOI arXiv Link
Semenova, Y. V.; Solodky, S. G. An optimal method for recovering the mixed derivative \(f^{(2,2)}\) of bivariate functions. (English) Zbl 07799505 ETNA, Electron. Trans. Numer. Anal. 58, 582-596 (2023). MSC: 47A52 65D25 PDFBibTeX XMLCite \textit{Y. V. Semenova} and \textit{S. G. Solodky}, ETNA, Electron. Trans. Numer. Anal. 58, 582--596 (2023; Zbl 07799505) Full Text: DOI Link
Demchenko, M. N. On the Cauchy problem for the wave equation in a two-dimensional domain with data on the boundary. (English. Russian original) Zbl 07798758 J. Math. Sci., New York 277, No. 4, 575-585 (2023); translation from Zap. Nauchn. Semin. POMI 493, 154-168 (2020). MSC: 35R25 35L15 PDFBibTeX XMLCite \textit{M. N. Demchenko}, J. Math. Sci., New York 277, No. 4, 575--585 (2023; Zbl 07798758); translation from Zap. Nauchn. Semin. POMI 493, 154--168 (2020) Full Text: DOI arXiv
Sun, L. L.; Chang, M. L. Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. (English) Zbl 07798631 Netw. Heterog. Media 18, No. 1, 212-243 (2023). MSC: 65L05 65L10 PDFBibTeX XMLCite \textit{L. L. Sun} and \textit{M. L. Chang}, Netw. Heterog. Media 18, No. 1, 212--243 (2023; Zbl 07798631) Full Text: DOI
Panov, E. Yu. Solutions of an ill-posed Stefan problem. (English) Zbl 07798220 J. Math. Sci., New York 274, No. 4, 534-543 (2023). MSC: 35R25 35C06 35K05 35K15 PDFBibTeX XMLCite \textit{E. Yu. Panov}, J. Math. Sci., New York 274, No. 4, 534--543 (2023; Zbl 07798220) Full Text: DOI arXiv
Yang, Fan; Cao, Ying; Li, Xiao-Xiao Two regularization methods for identifying the source term of Caputo-Hadamard time-fractional diffusion equation. (English) Zbl 07795470 Math. Methods Appl. Sci. 46, No. 15, 16170-16202 (2023). MSC: 35R25 35R11 35R30 47A52 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Methods Appl. Sci. 46, No. 15, 16170--16202 (2023; Zbl 07795470) 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
Domingues, L.; Santos, R. A note on \(C^2\) Ill-posedness results for the Zakharov system in arbitrary dimension. (English) Zbl 07789930 Trends Comput. Appl. Math. 24, No. 3, 505-519 (2023). MSC: 35R25 35Q55 35G25 PDFBibTeX XMLCite \textit{L. Domingues} and \textit{R. Santos}, Trends Comput. Appl. Math. 24, No. 3, 505--519 (2023; Zbl 07789930) Full Text: DOI arXiv
Sun, Liangliang; Wang, Yuxin; Chang, Maoli A fractional-order quasi-reversibility method to a backward problem for the multi-term time-fractional diffusion equation. (English) Zbl 07788924 Taiwanese J. Math. 27, No. 6, 1185-1210 (2023). MSC: 65L08 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{L. Sun} et al., Taiwanese J. Math. 27, No. 6, 1185--1210 (2023; Zbl 07788924) 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
Chang, Maoli; Sun, Liangliang; Wang, Yuxin Two regularization methods for identifying the unknown source in a multiterm time-fractional diffusion equation. (English) Zbl 07784550 Rocky Mt. J. Math. 53, No. 5, 1387-1414 (2023). MSC: 35R30 35R11 65M30 PDFBibTeX XMLCite \textit{M. Chang} et al., Rocky Mt. J. Math. 53, No. 5, 1387--1414 (2023; Zbl 07784550) Full Text: DOI Link
Kofler, Andreas; Altekrüger, Fabian; Ba, Fatima Antarou; Kolbitsch, Christoph; Papoutsellis, Evangelos; Schote, David; Sirotenko, Clemens; Zimmermann, Felix Frederik; Papafitsoros, Kostas Learning regularization parameter-maps for variational image reconstruction using deep neural networks and algorithm unrolling. (English) Zbl 07784241 SIAM J. Imaging Sci. 16, No. 4, 2202-2246 (2023). MSC: 92C55 47A52 PDFBibTeX XMLCite \textit{A. Kofler} et al., SIAM J. Imaging Sci. 16, No. 4, 2202--2246 (2023; Zbl 07784241) Full Text: DOI arXiv
Arjas, Arttu; Sillanpää, Mikko J.; Hauptmann, Andreas S. Sequential model correction for nonlinear inverse problems. (English) Zbl 07784235 SIAM J. Imaging Sci. 16, No. 4, 2015-2039 (2023). MSC: 65K10 65F20 94A08 47H10 47A52 PDFBibTeX XMLCite \textit{A. Arjas} et al., SIAM J. Imaging Sci. 16, No. 4, 2015--2039 (2023; Zbl 07784235) Full Text: DOI arXiv
Chen, Yu; Cheng, Jin; Lu, Shuai; Yamamoto, Masahiro Harmonic measures and numerical computation of Cauchy problems for Laplace equations. (English) Zbl 07783661 Chin. Ann. Math., Ser. B 44, No. 6, 913-928 (2023). MSC: 65N21 65N20 65J05 65N15 35J05 35R25 35R30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Chin. Ann. Math., Ser. B 44, No. 6, 913--928 (2023; Zbl 07783661) Full Text: DOI arXiv
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
Cui, Jianxuan; Cheng, Hao Source term identification of time-fractional diffusion equation under Robin boundary condition. (English) Zbl 07782377 Math. Methods Appl. Sci. 46, No. 6, 6590-6612 (2023). MSC: 47A52 47J06 PDFBibTeX XMLCite \textit{J. Cui} and \textit{H. Cheng}, Math. Methods Appl. Sci. 46, No. 6, 6590--6612 (2023; Zbl 07782377) Full Text: DOI
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
Amdouni, Saber; Ben Abda, Amel The Cauchy problem for Laplace’s equation via a modified conjugate gradient method and energy space approaches. (English) Zbl 07781762 Math. Methods Appl. Sci. 46, No. 4, 3560-3582 (2023). MSC: 65N12 65N15 65N20 65N21 65N22 65N35 PDFBibTeX XMLCite \textit{S. Amdouni} and \textit{A. Ben Abda}, Math. Methods Appl. Sci. 46, No. 4, 3560--3582 (2023; Zbl 07781762) Full Text: DOI
Ahsan, Muhammad; Shams-ul Haq, Khawaja; Liu, Xuan; Ahmad Lone, Showkat; Nisar, Muhammad A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source. (English) Zbl 07781311 Math. Methods Appl. Sci. 46, No. 2, 2475-2487 (2023). MSC: 65M32 65M70 65M06 65N35 65T60 35R30 35R25 80A23 PDFBibTeX XMLCite \textit{M. Ahsan} et al., Math. Methods Appl. Sci. 46, No. 2, 2475--2487 (2023; Zbl 07781311) Full Text: DOI
Boukraa, Mohamed Aziz; Amdouni, Saber; Delvare, Franck Fading regularization FEM algorithms for the Cauchy problem associated with the two-dimensional biharmonic equation. (English) Zbl 07781307 Math. Methods Appl. Sci. 46, No. 2, 2389-2412 (2023). MSC: 65N30 65N12 65N15 65N20 65N21 65N22 PDFBibTeX XMLCite \textit{M. A. Boukraa} et al., Math. Methods Appl. Sci. 46, No. 2, 2389--2412 (2023; Zbl 07781307) Full Text: DOI
Rashedi, Kamal Reconstruction of a time-dependent coefficient in nonlinear Klein-Gordon equation using Bernstein spectral method. (English) Zbl 07781273 Math. Methods Appl. Sci. 46, No. 2, 1752-1771 (2023). MSC: 81Q05 35L70 65N35 65M30 35R30 PDFBibTeX XMLCite \textit{K. Rashedi}, Math. Methods Appl. Sci. 46, No. 2, 1752--1771 (2023; Zbl 07781273) Full Text: DOI
Arndt, Clemens; Denker, Alexander; Dittmer, Sören; Heilenkötter, Nick; Iske, Meira; Kluth, Tobias; Maass, Peter; Nickel, Judith Invertible residual networks in the context of regularization theory for linear inverse problems. (English) Zbl 07780894 Inverse Probl. 39, No. 12, Article ID 125018, 37 p. (2023). MSC: 65J22 65J20 68T07 PDFBibTeX XMLCite \textit{C. Arndt} et al., Inverse Probl. 39, No. 12, Article ID 125018, 37 p. (2023; Zbl 07780894) Full Text: DOI arXiv OA License
Shi, Chengxin; Cheng, Hao The backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. (English) Zbl 07780282 Math. Methods Appl. Sci. 46, No. 8, 9526-9541 (2023). MSC: 35R30 35K20 35R11 47A52 PDFBibTeX XMLCite \textit{C. Shi} and \textit{H. Cheng}, Math. Methods Appl. Sci. 46, No. 8, 9526--9541 (2023; Zbl 07780282) Full Text: DOI
Sboev, D. A. \( BV \)-spaces and the bounded composition operators of \(BV\)-functions on Carnot groups. (English. Russian original) Zbl 07780162 Sib. Math. J. 64, No. 6, 1420-1438 (2023); translation from Sib. Mat. Zh. 64, No. 6, 1304-1326 (2023). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 49Q20 47A52 65J20 65J22 PDFBibTeX XMLCite \textit{D. A. Sboev}, Sib. Math. J. 64, No. 6, 1420--1438 (2023; Zbl 07780162); translation from Sib. Mat. Zh. 64, No. 6, 1304--1326 (2023) Full Text: DOI
Carrió, M. J.; Mazzieri, G. L.; Temperini, K. G. Error estimates for doubly-generalized Tikhonov-Phillips regularization. (English) Zbl 1525.47028 Trends Comput. Appl. Math. 24, No. 1, 45-61 (2023). MSC: 47A52 47J06 47J20 PDFBibTeX XMLCite \textit{M. J. Carrió} et al., Trends Comput. Appl. Math. 24, No. 1, 45--61 (2023; Zbl 1525.47028) 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
Boichuk, Oleksandr; Bihun, Dmytro; Pokutnyi, Oleksandr \(\nu, \mu\) dichotomy and bounded solutions of differential equations. (English) Zbl 07777191 Miskolc Math. Notes 24, No. 3, 1223-1234 (2023). MSC: 34B27 34C11 34D09 34G10 34H10 47A52 47A53 PDFBibTeX XMLCite \textit{O. Boichuk} et al., Miskolc Math. Notes 24, No. 3, 1223--1234 (2023; Zbl 07777191) Full Text: DOI