Wen, Jin; Wang, Yong-Ping; Wang, Yu-Xin; Wang, Yong-Qin The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation. (English) Zbl 07810046 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{J. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024; Zbl 07810046) 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
Bazán, Fermín S. V.; Bedin, Luciano; Ismailov, Mansur I.; Borges, Leonardo S. Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition. (English) Zbl 07798679 Netw. Heterog. Media 18, No. 4, 1747-1771 (2023). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{F. S. V. Bazán} et al., Netw. Heterog. Media 18, No. 4, 1747--1771 (2023; Zbl 07798679) Full Text: DOI
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
Fika, Paraskevi Approximation of the Tikhonov regularization parameter through Aitken’s extrapolation. (English) Zbl 1523.65038 Appl. Numer. Math. 190, 270-282 (2023). MSC: 65F22 65K10 PDFBibTeX XMLCite \textit{P. Fika}, Appl. Numer. Math. 190, 270--282 (2023; Zbl 1523.65038) 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 PDFBibTeX XMLCite \textit{T. Jahn}, SIAM/ASA J. Uncertain. Quantif. 11, 591--615 (2023; Zbl 1514.65066) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Alkilayh} and \textit{L. Reichel}, Appl. Numer. Math. 185, 503--515 (2023; Zbl 1522.65055) Full Text: DOI
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). Reviewer: Robert Plato (Siegen) MSC: 47J06 65J15 65J20 PDFBibTeX XMLCite \textit{P. Mahale} and \textit{F. M. Shaikh}, Comput. Methods Appl. Math. 23, No. 1, 251--276 (2023; Zbl 07697882) 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
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
Ding, Liang; Han, Weimin Morozov’s discrepancy principle for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 1515.49007 Inverse Probl. Imaging 17, No. 1, 157-179 (2023). MSC: 49J27 49J52 49N45 65J15 65J20 PDFBibTeX XMLCite \textit{L. Ding} and \textit{W. Han}, Inverse Probl. Imaging 17, No. 1, 157--179 (2023; Zbl 1515.49007) Full Text: DOI
Harrach, Bastian; Jahn, Tim; Potthast, Roland Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements. (English) Zbl 1508.65057 IMA J. Numer. Anal. 43, No. 1, 443-500 (2023). MSC: 65J20 65J22 PDFBibTeX XMLCite \textit{B. Harrach} et al., IMA J. Numer. Anal. 43, No. 1, 443--500 (2023; Zbl 1508.65057) Full Text: DOI arXiv
Bevilacqua, Francesca; Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella Masked unbiased principles for parameter selection in variational image restoration under Poisson noise. (English) Zbl 1507.94009 Inverse Probl. 39, No. 3, Article ID 034002, 32 p. (2023). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{F. Bevilacqua} et al., Inverse Probl. 39, No. 3, Article ID 034002, 32 p. (2023; Zbl 1507.94009) Full Text: DOI
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
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
Li, Kexin; Li, Hongwei; Chan, Raymond H.; Wen, Youwei Selecting regularization parameters for nuclear norm-type minimization problems. (English) Zbl 07569636 SIAM J. Sci. Comput. 44, No. 4, A2204-A2225 (2022). MSC: 68U10 94A08 90C99 65K99 PDFBibTeX XMLCite \textit{K. Li} et al., SIAM J. Sci. Comput. 44, No. 4, A2204--A2225 (2022; Zbl 07569636) Full Text: DOI arXiv
Neubauer, Andreas Erratum to: “Optimal convergence rates for inexact Newton regularization with CG as inner iteration”. (English) Zbl 07569048 J. Inverse Ill-Posed Probl. 30, No. 4, 619 (2022). MSC: 65J20 47J06 47A52 PDFBibTeX XMLCite \textit{A. Neubauer}, J. Inverse Ill-Posed Probl. 30, No. 4, 619 (2022; Zbl 07569048) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. (English) Zbl 1497.65071 J. Comput. Appl. Math. 415, Article ID 114488, 21 p. (2022). MSC: 65F22 15A69 65D18 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, J. Comput. Appl. Math. 415, Article ID 114488, 21 p. (2022; Zbl 1497.65071) Full Text: DOI arXiv
Jahn, Tim A probabilistic oracle inequality and quantification of uncertainty of a modified discrepancy principle for statistical inverse problems. (English) Zbl 1490.65112 ETNA, Electron. Trans. Numer. Anal. 57, 35-56 (2022). MSC: 65J22 65J20 62G08 47A52 PDFBibTeX XMLCite \textit{T. Jahn}, ETNA, Electron. Trans. Numer. Anal. 57, 35--56 (2022; Zbl 1490.65112) Full Text: DOI arXiv Link
Jahn, Tim Optimal convergence of the discrepancy principle for polynomially and exponentially ill-posed operators under white noise. (English) Zbl 07517480 Numer. Funct. Anal. Optim. 43, No. 2, 145-167 (2022). MSC: 62-XX 47-XX 90-XX PDFBibTeX XMLCite \textit{T. Jahn}, Numer. Funct. Anal. Optim. 43, No. 2, 145--167 (2022; Zbl 07517480) Full Text: DOI arXiv
Bilyk, Dmitriy; Matzke, Ryan W.; Vlasiuk, Oleksandr Positive definiteness and the Stolarsky invariance principle. (English) Zbl 1505.11103 J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022). Reviewer: Peter Kritzer (Linz) MSC: 11K38 31B15 46N10 PDFBibTeX XMLCite \textit{D. Bilyk} et al., J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022; Zbl 1505.11103) Full Text: DOI arXiv
Reichel, Lothar; Ugwu, Ugochukwu O. The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. (English) Zbl 07511593 Numer. Linear Algebra Appl. 29, No. 1, e2412, 34 p. (2022). MSC: 65F22 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, Numer. Linear Algebra Appl. 29, No. 1, e2412, 34 p. (2022; Zbl 07511593) Full Text: DOI
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
Zhong, Min; Wang, Wei; Tong, Shanshan An asymptotical regularization with convex constraints for inverse problems. (English) Zbl 1496.65149 Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M30 65K10 49M15 65J20 65J08 65J15 65J22 65L06 PDFBibTeX XMLCite \textit{M. Zhong} et al., Inverse Probl. 38, No. 4, Article ID 045007, 30 p. (2022; Zbl 1496.65149) Full Text: DOI arXiv
Hesse, Kerstin; Le Gia, Quoc Thong \(L_2\) error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. (English) Zbl 1484.65030 J. Comput. Appl. Math. 408, Article ID 114118, 26 p. (2022). MSC: 65D10 33C55 41A30 41A55 42C10 65D32 PDFBibTeX XMLCite \textit{K. Hesse} and \textit{Q. T. Le Gia}, J. Comput. Appl. Math. 408, Article ID 114118, 26 p. (2022; Zbl 1484.65030) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. (English) Zbl 1481.65060 J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022). MSC: 65F22 65F10 15A69 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022; Zbl 1481.65060) Full Text: DOI arXiv
Gao, Guangyu; Han, Bo; Tong, Shanshan A fast two-point gradient algorithm based on sequential subspace optimization method for nonlinear ill-posed problems. (English) Zbl 07431723 Math. Comput. Simul. 192, 221-245 (2022). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{G. Gao} et al., Math. Comput. Simul. 192, 221--245 (2022; Zbl 07431723) Full Text: DOI arXiv
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
Barg, Alexander Stolarsky’s invariance principle for finite metric spaces. (English) Zbl 1523.11137 Mathematika 67, No. 1, 158-186 (2021). MSC: 11K38 94B25 PDFBibTeX XMLCite \textit{A. Barg}, Mathematika 67, No. 1, 158--186 (2021; Zbl 1523.11137) Full Text: DOI arXiv
Regińska, Teresa A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem. (English) Zbl 1480.65138 Appl. Math. 48, No. 2, 111-123 (2021). MSC: 65J20 47A52 65J22 PDFBibTeX XMLCite \textit{T. Regińska}, Appl. Math. 48, No. 2, 111--123 (2021; Zbl 1480.65138) Full Text: DOI
Bai, Xianglan; Buccini, Alessandro; Reichel, Lothar Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066 BIT 61, No. 4, 1093-1114 (2021). MSC: 65F22 65F15 PDFBibTeX XMLCite \textit{X. Bai} et al., BIT 61, No. 4, 1093--1114 (2021; Zbl 1490.65066) Full Text: DOI
Boos, Everton; Luchesi, Vanda M.; Bazán, Fermín S. V. Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity. (English) Zbl 1473.65231 Inverse Probl. Sci. Eng. 29, No. 5, 681-711 (2021). MSC: 65M70 65M32 35Q60 78A46 PDFBibTeX XMLCite \textit{E. Boos} et al., Inverse Probl. Sci. Eng. 29, No. 5, 681--711 (2021; Zbl 1473.65231) Full Text: DOI
Jahn, Tim A modified discrepancy principle to attain optimal convergence rates under unknown noise. (English) Zbl 1472.62066 Inverse Probl. 37, No. 9, Article ID 095008, 23 p. (2021). MSC: 62G20 65J22 PDFBibTeX XMLCite \textit{T. Jahn}, Inverse Probl. 37, No. 9, Article ID 095008, 23 p. (2021; Zbl 1472.62066) Full Text: DOI arXiv
Mika, Grzegorz; Szkutnik, Zbigniew Towards adaptivity via a new discrepancy principle for Poisson inverse problems. (English) Zbl 1471.45014 Electron. J. Stat. 15, No. 1, 2029-2059 (2021). MSC: 45Q05 62G05 65J20 93E10 PDFBibTeX XMLCite \textit{G. Mika} and \textit{Z. Szkutnik}, Electron. J. Stat. 15, No. 1, 2029--2059 (2021; Zbl 1471.45014) Full Text: DOI
Celisse, Alain; Wahl, Martin Analyzing the discrepancy principle for kernelized spectral filter learning algorithms. (English) Zbl 07370593 J. Mach. Learn. Res. 22, Paper No. 76, 59 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{A. Celisse} and \textit{M. Wahl}, J. Mach. Learn. Res. 22, Paper No. 76, 59 p. (2021; Zbl 07370593) Full Text: arXiv Link
Buccini, Alessandro; Park, Yonggi; Reichel, Lothar Corrigendum to: “Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems”. (English) Zbl 1465.65034 J. Comput. Appl. Math. 397, Article ID 113571, 1 p. (2021). MSC: 65F22 65F10 65R32 PDFBibTeX XMLCite \textit{A. Buccini} et al., J. Comput. Appl. Math. 397, Article ID 113571, 1 p. (2021; Zbl 1465.65034) Full Text: DOI
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. (English) Zbl 1465.65035 Appl. Numer. Math. 166, 186-207 (2021). MSC: 65F22 15A69 94A08 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, Appl. Numer. Math. 166, 186--207 (2021; Zbl 1465.65035) Full Text: DOI
Zhao, Zhenyu; You, Lei A numerical differentiation method based on Legendre expansion with super order Tikhonov regularization. (English) Zbl 1508.65058 Appl. Math. Comput. 393, Article ID 125811, 11 p. (2021). MSC: 65J20 65D25 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{L. You}, Appl. Math. Comput. 393, Article ID 125811, 11 p. (2021; Zbl 1508.65058) Full Text: DOI
Steinerberger, Stefan Wasserstein distance, Fourier series and applications. (English) Zbl 1457.60005 Monatsh. Math. 194, No. 2, 305-338 (2021). MSC: 60B10 42A05 42A16 11L03 35B05 49Q20 11K38 60E05 PDFBibTeX XMLCite \textit{S. Steinerberger}, Monatsh. Math. 194, No. 2, 305--338 (2021; Zbl 1457.60005) Full Text: DOI arXiv
Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R. Lanczos-based fast blind deconvolution methods. (English) Zbl 1484.65347 J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021). MSC: 65R32 94A08 PDFBibTeX XMLCite \textit{L. Dykes} et al., J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021; Zbl 1484.65347) Full Text: DOI
Zhao, Zhenyu; You, Lei; Meng, Zehong A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation. (English) Zbl 1475.65176 Open Math. 18, 1685-1697 (2020). MSC: 65N21 65D15 65N35 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Open Math. 18, 1685--1697 (2020; Zbl 1475.65176) Full Text: DOI
Kanagaraj, K.; Reddy, G. D.; George, Santhosh Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. (English) Zbl 1510.47075 J. Appl. Math. Comput. 63, No. 1-2, 87-105 (2020). MSC: 47J06 65J20 65J15 PDFBibTeX XMLCite \textit{K. Kanagaraj} et al., J. Appl. Math. Comput. 63, No. 1--2, 87--105 (2020; Zbl 1510.47075) Full Text: DOI
Cornelis, J.; Schenkels, N.; Vanroose, W. Projected Newton method for noise constrained Tikhonov regularization. (English) Zbl 07371367 Inverse Probl. 36, No. 5, Article ID 055002, 28 p. (2020). MSC: 65Fxx 94Axx 65Rxx 65Jxx 65-XX PDFBibTeX XMLCite \textit{J. Cornelis} et al., Inverse Probl. 36, No. 5, Article ID 055002, 28 p. (2020; Zbl 07371367) Full Text: DOI arXiv
Li, Zhi; Zhao, Zhenyu; Meng, Zehong; Chen, Baoqin; Mei, Duan Identifying an unknown source in the Poisson equation with a super order regularization method. (English) Zbl 07336566 Int. J. Comput. Methods 17, No. 7, Article ID 1950030, 12 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Li} et al., Int. J. Comput. Methods 17, No. 7, Article ID 1950030, 12 p. (2020; Zbl 07336566) Full Text: DOI
Yang, Fan; Wang, Ni; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain. (English) Zbl 1473.65174 J. Appl. Anal. Comput. 10, No. 2, 514-529 (2020). Reviewer: Robert Plato (Siegen) MSC: 65M32 26A33 35R11 35R25 35R30 65J20 65M30 65K10 33E12 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Appl. Anal. Comput. 10, No. 2, 514--529 (2020; Zbl 1473.65174) Full Text: DOI
Zhao, Zhenyu; Lin, Riguang; Li, Zhi; Mei, Duan A super order regularization method for determination of an unknown source in the heat equation. (Chinese. English summary) Zbl 1463.65273 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717-724 (2020). MSC: 65M30 35K05 65M15 35B45 65J20 65M32 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717--724 (2020; Zbl 1463.65273)
Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane Variational regularisation for inverse problems with imperfect forward operators and general noise models. (English) Zbl 1454.49037 Inverse Probl. 36, No. 12, Article ID 125014, 32 p. (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49N45 49N15 PDFBibTeX XMLCite \textit{L. Bungert} et al., Inverse Probl. 36, No. 12, Article ID 125014, 32 p. (2020; Zbl 1454.49037) Full Text: DOI arXiv
Ding, Liang; Han, Weimin A projected gradient method for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 1456.65040 Inverse Probl. 36, No. 12, Article ID 125012, 30 p. (2020). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{L. Ding} and \textit{W. Han}, Inverse Probl. 36, No. 12, Article ID 125012, 30 p. (2020; Zbl 1456.65040) Full Text: DOI arXiv
Cornelis, Jeffrey; Vanroose, W. Projected Newton method for noise constrained \(\ell_p\) regularization. (English) Zbl 1455.65048 Inverse Probl. 36, No. 12, Article ID 125004, 32 p. (2020). MSC: 65F22 65F10 65K05 49M15 PDFBibTeX XMLCite \textit{J. Cornelis} and \textit{W. Vanroose}, Inverse Probl. 36, No. 12, Article ID 125004, 32 p. (2020; Zbl 1455.65048) Full Text: DOI arXiv
Stankewitz, Bernhard Smoothed residual stopping for statistical inverse problems via truncated SVD estimation. (English) Zbl 1451.65071 Electron. J. Stat. 14, No. 2, 3396-3428 (2020). MSC: 65J20 62G05 PDFBibTeX XMLCite \textit{B. Stankewitz}, Electron. J. Stat. 14, No. 2, 3396--3428 (2020; Zbl 1451.65071) Full Text: DOI arXiv Euclid
Jahn, Tim; Jin, Bangti On the discrepancy principle for stochastic gradient descent. (English) Zbl 07252746 Inverse Probl. 36, No. 9, Article ID 095009, 30 p. (2020). MSC: 47Axx 62Gxx 47Nxx PDFBibTeX XMLCite \textit{T. Jahn} and \textit{B. Jin}, Inverse Probl. 36, No. 9, Article ID 095009, 30 p. (2020; Zbl 07252746) Full Text: DOI arXiv
Egarguin, Neil Jerome A.; Onofrei, Daniel; Qi, Chaoxian; Chen, Jiefu Active manipulation of Helmholtz scalar fields: near-field synthesis with directional far-field control. (English) Zbl 1448.76139 Inverse Probl. 36, No. 9, Article ID 095005, 28 p. (2020). MSC: 76Q05 76N25 76M99 35Q35 86A05 PDFBibTeX XMLCite \textit{N. J. A. Egarguin} et al., Inverse Probl. 36, No. 9, Article ID 095005, 28 p. (2020; Zbl 1448.76139) Full Text: DOI arXiv
Yuan, Lele; Cheng, Xiaoliang; Liang, Kewei Solving a backward problem for a distributed-order time fractional diffusion equation by a new adjoint technique. (English) Zbl 1447.35394 J. Inverse Ill-Posed Probl. 28, No. 4, 471-488 (2020). MSC: 35R30 35R11 35R60 45Q05 49N45 35R25 PDFBibTeX XMLCite \textit{L. Yuan} et al., J. Inverse Ill-Posed Probl. 28, No. 4, 471--488 (2020; Zbl 1447.35394) Full Text: DOI
Jia, Zhongxiao; Yang, Yanfei A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. (English) Zbl 1452.65076 Appl. Numer. Math. 157, 159-177 (2020). MSC: 65F22 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI arXiv
Mead, J. \( \chi^2\) test for total variation regularization parameter selection. (English) Zbl 1448.65028 Inverse Probl. Imaging 14, No. 3, 401-421 (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 62J07 94A08 68U10 65D18 PDFBibTeX XMLCite \textit{J. Mead}, Inverse Probl. Imaging 14, No. 3, 401--421 (2020; Zbl 1448.65028) Full Text: DOI
Buccini, Alessandro; Park, Yonggi; Reichel, Lothar Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems. (English) Zbl 1441.65045 J. Comput. Appl. Math. 373, Article ID 112138, 7 p. (2020); corrigendum ibid. 397, Article ID 113571, 1 p. (2021). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 65R32 PDFBibTeX XMLCite \textit{A. Buccini} et al., J. Comput. Appl. Math. 373, Article ID 112138, 7 p. (2020; Zbl 1441.65045) Full Text: DOI Link
Hofmann, Bernd; Plato, Robert Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. (English) Zbl 07192776 ETNA, Electron. Trans. Numer. Anal. 53, 313-328 (2020). MSC: 65J20 65J15 65J22 47J06 47J05 PDFBibTeX XMLCite \textit{B. Hofmann} and \textit{R. Plato}, ETNA, Electron. Trans. Numer. Anal. 53, 313--328 (2020; Zbl 07192776) Full Text: DOI arXiv Link
Zhang, Y.; Hofmann, B. On the second-order asymptotical regularization of linear ill-posed inverse problems. (English) Zbl 1443.47014 Appl. Anal. 99, No. 6, 1000-1025 (2020). MSC: 47A52 65J20 65F22 65R30 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{B. Hofmann}, Appl. Anal. 99, No. 6, 1000--1025 (2020; Zbl 1443.47014) Full Text: DOI arXiv
Neubauer, Andreas Optimal convergence rates for inexact Newton regularization with CG as inner iteration. (English) Zbl 07173400 J. Inverse Ill-Posed Probl. 28, No. 1, 145-153 (2020); erratum ibid. 30, No. 4, 619 (2022). MSC: 65J20 47J06 47A52 PDFBibTeX XMLCite \textit{A. Neubauer}, J. Inverse Ill-Posed Probl. 28, No. 1, 145--153 (2020; Zbl 07173400) Full Text: DOI
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei Inverse source problem for a distributed-order time fractional diffusion equation. (English) Zbl 1509.35340 J. Inverse Ill-Posed Probl. 28, No. 1, 17-32 (2020). MSC: 35R11 35R30 45Q05 49N45 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 17--32 (2020; Zbl 1509.35340) Full Text: DOI
Ruan, Zhousheng; Zhang, Sen Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation. (English) Zbl 1454.65108 J. Comput. Appl. Math. 368, Article ID 112566, 15 p. (2020). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M12 65M60 35R11 26A33 44A10 30B40 33E12 PDFBibTeX XMLCite \textit{Z. Ruan} and \textit{S. Zhang}, J. Comput. Appl. Math. 368, Article ID 112566, 15 p. (2020; Zbl 1454.65108) Full Text: DOI
Grimm, Volker A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. (English) Zbl 1485.65044 Inverse Probl. 36, No. 1, Article ID 015008, 19 p. (2020). MSC: 65F22 PDFBibTeX XMLCite \textit{V. Grimm}, Inverse Probl. 36, No. 1, Article ID 015008, 19 p. (2020; Zbl 1485.65044) Full Text: DOI arXiv
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Dien, Nguyen Minh On a time-space fractional backward diffusion problem with inexact orders. (English) Zbl 1442.35527 Comput. Math. Appl. 78, No. 5, 1572-1593 (2019). MSC: 35R11 35B30 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Comput. Math. Appl. 78, No. 5, 1572--1593 (2019; Zbl 1442.35527) Full Text: DOI
Pan, Huan; Wen, You-Wei; Zhu, Hui-Min A regularization parameter selection model for total variation based image noise removal. (English) Zbl 1481.65274 Appl. Math. Modelling 68, 353-367 (2019). MSC: 65R32 68U10 94A08 PDFBibTeX XMLCite \textit{H. Pan} et al., Appl. Math. Modelling 68, 353--367 (2019; Zbl 1481.65274) Full Text: DOI
Bazán, Fermín S. V.; Bedin, Luciano Filtered spectral differentiation method for numerical differentiation of periodic functions with application to heat flux estimation. (English) Zbl 1438.65028 Comput. Appl. Math. 38, No. 4, Paper No. 165, 23 p. (2019). MSC: 65D25 65T40 65F22 65R32 PDFBibTeX XMLCite \textit{F. S. V. Bazán} and \textit{L. Bedin}, Comput. Appl. Math. 38, No. 4, Paper No. 165, 23 p. (2019; Zbl 1438.65028) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh; Xiao, Yi-Bin Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems. (English) Zbl 1469.65104 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813-2826 (2019). MSC: 65J20 65J15 47J06 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813--2826 (2019; Zbl 1469.65104) Full Text: DOI
Liu, Songshu; Feng, Lixin A posteriori regularization parameter choice rule for a modified kernel method for a time-fractional inverse diffusion problem. (English) Zbl 1432.65139 J. Comput. Appl. Math. 353, 355-366 (2019). MSC: 65M32 35R11 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Feng}, J. Comput. Appl. Math. 353, 355--366 (2019; Zbl 1432.65139) Full Text: DOI
Bazán, Fermin S. V.; Quiroz, J. R. Galerkin approach for estimating boundary data in Poisson equation on annular domain with application to heat transfer coefficient estimation in coiled tubes. (English) Zbl 1433.65319 Numer. Algorithms 81, No. 1, 79-98 (2019). Reviewer: Robert Plato (Siegen) MSC: 65N35 65N30 65N21 65N20 65F22 80A19 35J05 65F20 15A18 PDFBibTeX XMLCite \textit{F. S. V. Bazán} and \textit{J. R. Quiroz}, Numer. Algorithms 81, No. 1, 79--98 (2019; Zbl 1433.65319) Full Text: DOI
Huang, Jie; Huang, Ting-Zhu A nonstationary accelerating alternating direction method for frame-based Poissonian image deblurring. (English) Zbl 1454.94016 J. Comput. Appl. Math. 352, 181-193 (2019). MSC: 94A08 65D18 PDFBibTeX XMLCite \textit{J. Huang} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 352, 181--193 (2019; Zbl 1454.94016) Full Text: DOI
Schenkels, Nick; Vanroose, Wim Regula falsi based automatic regularization method for PDE constrained optimization. (English) Zbl 1408.65068 J. Comput. Appl. Math. 348, 14-25 (2019). MSC: 65M32 65M30 65J20 49M15 49N60 49K20 35J05 35Q60 78A46 65K10 PDFBibTeX XMLCite \textit{N. Schenkels} and \textit{W. Vanroose}, J. Comput. Appl. Math. 348, 14--25 (2019; Zbl 1408.65068) Full Text: DOI arXiv Link
Kritzinger, Ralph An exact formula for the \(L_2\) discrepancy of the symmetrized Hammersley point set. (English) Zbl 1484.11163 Math. Comput. Simul. 143, 3-13 (2018). MSC: 11K38 PDFBibTeX XMLCite \textit{R. Kritzinger}, Math. Comput. Simul. 143, 3--13 (2018; Zbl 1484.11163) Full Text: DOI arXiv
Chen, Baoqin; Zhao, Zhenyu; Li, Zhi; Meng, Zehong Numerical differentiation by a Fourier extension method with super-order regularization. (English) Zbl 1427.65031 Appl. Math. Comput. 334, 1-10 (2018). MSC: 65D25 65J20 65T40 PDFBibTeX XMLCite \textit{B. Chen} et al., Appl. Math. Comput. 334, 1--10 (2018; Zbl 1427.65031) Full Text: DOI
Azizi, Aram; Abdi, Sarkout; Saeidian, Jamshid Applying Legendre wavelet method with Tikhonov regularization for one-dimensional time-fractional diffusion equations. (English) Zbl 1400.65050 Comput. Appl. Math. 37, No. 4, 4793-4804 (2018). MSC: 65M60 76R50 35K57 35R11 41A10 41A30 PDFBibTeX XMLCite \textit{A. Azizi} et al., Comput. Appl. Math. 37, No. 4, 4793--4804 (2018; Zbl 1400.65050) Full Text: DOI
Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus Early stopping for statistical inverse problems via truncated SVD estimation. (English) Zbl 1403.65025 Electron. J. Stat. 12, No. 2, 3204-3231 (2018). MSC: 65J20 62G05 62G08 65J10 PDFBibTeX XMLCite \textit{G. Blanchard} et al., Electron. J. Stat. 12, No. 2, 3204--3231 (2018; Zbl 1403.65025) Full Text: DOI arXiv Euclid
Clason, Christian; Klassen, Andrej Quasi-solution of linear inverse problems in non-reflexive Banach spaces. (English) Zbl 1490.65109 J. Inverse Ill-Posed Probl. 26, No. 5, 689-702 (2018). MSC: 65J20 47A52 49M15 PDFBibTeX XMLCite \textit{C. Clason} and \textit{A. Klassen}, J. Inverse Ill-Posed Probl. 26, No. 5, 689--702 (2018; Zbl 1490.65109) Full Text: DOI arXiv
Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus Optimal adaptation for early stopping in statistical inverse problems. (English) Zbl 1401.65058 SIAM/ASA J. Uncertain. Quantif. 6, 1043-1075 (2018). MSC: 65J20 62G05 65J10 PDFBibTeX XMLCite \textit{G. Blanchard} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1043--1075 (2018; Zbl 1401.65058) Full Text: DOI arXiv
Egger, H.; Hofmann, B. Tikhonov regularization in Hilbert scales under conditional stability assumptions. (English) Zbl 1415.65130 Inverse Probl. 34, No. 11, Article ID 115015, 17 p. (2018). MSC: 65J22 65J15 65J20 PDFBibTeX XMLCite \textit{H. Egger} and \textit{B. Hofmann}, Inverse Probl. 34, No. 11, Article ID 115015, 17 p. (2018; Zbl 1415.65130) Full Text: DOI arXiv
Lucka, Felix; Proksch, Katharina; Brune, Christoph; Bissantz, Nicolai; Burger, Martin; Dette, Holger; Wübbeling, Frank Risk estimators for choosing regularization parameters in ill-posed problems – properties and limitations. (English) Zbl 06945044 Inverse Probl. Imaging 12, No. 5, 1121-1155 (2018). MSC: 65F22 62F12 49N45 PDFBibTeX XMLCite \textit{F. Lucka} et al., Inverse Probl. Imaging 12, No. 5, 1121--1155 (2018; Zbl 06945044) Full Text: DOI arXiv
Bilyk, Dmitriy; Dai, Feng; Matzke, Ryan The Stolarsky principle and energy optimization on the sphere. (English) Zbl 1426.11075 Constr. Approx. 48, No. 1, 31-60 (2018). Reviewer: Volker Ziegler (Salzburg) MSC: 11K38 74G65 42A82 PDFBibTeX XMLCite \textit{D. Bilyk} et al., Constr. Approx. 48, No. 1, 31--60 (2018; Zbl 1426.11075) Full Text: DOI arXiv
Sabari, M.; George, Santhosh Modified minimal error method for nonlinear ill-posed problems. (English) Zbl 1453.65123 Comput. Methods Appl. Math. 18, No. 2, 313-321 (2018). MSC: 65J15 65J20 PDFBibTeX XMLCite \textit{M. Sabari} and \textit{S. George}, Comput. Methods Appl. Math. 18, No. 2, 313--321 (2018; Zbl 1453.65123) Full Text: DOI
Bedin, L.; Bazán, F. S. V.; Quiroz, J. R. Method for recovering boundary data in a two-dimensional Poisson equation on annular domain. (English) Zbl 1457.65165 J. Comput. Appl. Math. 342, 83-95 (2018). MSC: 65N21 65N20 65N15 80A23 35J05 35B65 35R30 35B25 PDFBibTeX XMLCite \textit{L. Bedin} et al., J. Comput. Appl. Math. 342, 83--95 (2018; Zbl 1457.65165) Full Text: DOI
Neubauer, Andreas A new gradient method for ill-posed problems. (English) Zbl 1486.65056 Numer. Funct. Anal. Optim. 39, No. 6, 737-762 (2018). MSC: 65J20 65R30 47J06 47A52 PDFBibTeX XMLCite \textit{A. Neubauer}, Numer. Funct. Anal. Optim. 39, No. 6, 737--762 (2018; Zbl 1486.65056) Full Text: DOI
Wang, Yuchan; Liu, Jijun On the edge detection of an image by numerical differentiations for gray function. (English) Zbl 1512.65037 Math. Methods Appl. Sci. 41, No. 6, 2466-2479 (2018). MSC: 65D25 41A25 68U10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Liu}, Math. Methods Appl. Sci. 41, No. 6, 2466--2479 (2018; Zbl 1512.65037) Full Text: DOI
Solodky, Sergii G.; Myleiko, Ganna L.; Semenova, Evgeniya V. Complexity estimates for severely ill-posed problems under a posteriori selection of regularization parameter. (English) Zbl 1488.65769 Math. Model. Anal. 22, No. 3, 283-299 (2017). MSC: 65R30 45B05 47A52 PDFBibTeX XMLCite \textit{S. G. Solodky} et al., Math. Model. Anal. 22, No. 3, 283--299 (2017; Zbl 1488.65769) Full Text: DOI
Regińska, Teresa Discrepancy sets for combined least squares projection and Tikhonov regularization. (English) Zbl 1488.65135 Math. Model. Anal. 22, No. 2, 202-212 (2017). MSC: 65J20 47A52 65J10 PDFBibTeX XMLCite \textit{T. Regińska}, Math. Model. Anal. 22, No. 2, 202--212 (2017; Zbl 1488.65135) Full Text: DOI
van Bockstal, Karel; Marin, Liviu Recovery of a space-dependent vector source in anisotropic thermoelastic systems. (English) Zbl 1439.74102 Comput. Methods Appl. Mech. Eng. 321, 269-293 (2017). MSC: 74F05 65M32 35Q74 35R09 45K05 82D55 74S99 PDFBibTeX XMLCite \textit{K. van Bockstal} and \textit{L. Marin}, Comput. Methods Appl. Mech. Eng. 321, 269--293 (2017; Zbl 1439.74102) Full Text: DOI Link
George, Santhosh; Sabari, M. Convergence rate results for steepest descent type method for nonlinear ill-posed equations. (English) Zbl 1411.65078 Appl. Math. Comput. 294, 169-179 (2017). MSC: 65J15 47J25 65J20 PDFBibTeX XMLCite \textit{S. George} and \textit{M. Sabari}, Appl. Math. Comput. 294, 169--179 (2017; Zbl 1411.65078) Full Text: DOI
Zhang, Rong; Luo, Xingjun; Li, Lijun Multiscale collocation method for iteration regularization equation with alternating direction. (Chinese. English summary) Zbl 1413.65499 Numer. Math., Nanjing 39, No. 4, 355-372 (2017). MSC: 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{R. Zhang} et al., Numer. Math., Nanjing 39, No. 4, 355--372 (2017; Zbl 1413.65499)
Feng, Lixin; Guo, Chao The generalized Hermite spectral and pseudospectral methods of solving the problem of numerical differentiation. (Chinese. English summary) Zbl 1399.65094 J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 379-384 (2017). MSC: 65D25 65M70 PDFBibTeX XMLCite \textit{L. Feng} and \textit{C. Guo}, J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 379--384 (2017; Zbl 1399.65094) Full Text: DOI
Taghavi, A.; Babaei, A.; Mohammadpour, A. A stable numerical scheme for a time fractional inverse parabolic equation. (English) Zbl 1398.65239 Inverse Probl. Sci. Eng. 25, No. 10, 1474-1491 (2017). MSC: 65M32 35R11 26A33 47A52 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Inverse Probl. Sci. Eng. 25, No. 10, 1474--1491 (2017; Zbl 1398.65239) Full Text: DOI
Meng, Zehong; Zhao, Zhenyu Hermite spectral method for solving inverse heat source problems in multiple dimensions. (English) Zbl 1398.65258 Inverse Probl. Sci. Eng. 25, No. 9, 1243-1258 (2017). MSC: 65M70 65M32 65J20 PDFBibTeX XMLCite \textit{Z. Meng} and \textit{Z. Zhao}, Inverse Probl. Sci. Eng. 25, No. 9, 1243--1258 (2017; Zbl 1398.65258) Full Text: DOI
Skriganov, M. M. Point distributions in compact metric spaces. (English) Zbl 1393.11057 Mathematika 63, No. 3, 1152-1171 (2017). Reviewer: Peter Kritzer (Linz) MSC: 11K38 52C99 PDFBibTeX XMLCite \textit{M. M. Skriganov}, Mathematika 63, No. 3, 1152--1171 (2017; Zbl 1393.11057) Full Text: DOI arXiv
Xie, Ou; Meng, Zehong; Zhao, Zhenyu; You, Lei A truncation method based on Hermite functions expansion for a Cauchy problem of the Laplace equation. (Chinese. English summary) Zbl 1399.65222 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 3, 457-468 (2017). MSC: 65M30 35J05 33C45 PDFBibTeX XMLCite \textit{O. Xie} et al., Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 3, 457--468 (2017; Zbl 1399.65222)
Bazán, F. S. V.; Bedin, L. Identification of heat transfer coefficient through linearization: explicit solution and approximation. (English) Zbl 1383.65119 Inverse Probl. 33, No. 12, Article ID 124006, 30 p. (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M32 35R30 35K05 PDFBibTeX XMLCite \textit{F. S. V. Bazán} and \textit{L. Bedin}, Inverse Probl. 33, No. 12, Article ID 124006, 30 p. (2017; Zbl 1383.65119) Full Text: DOI
Rafiee, Javad; Reynolds, Albert C. Theoretical and efficient practical procedures for the generation of inflation factors for ES-MDA. (English) Zbl 1379.65033 Inverse Probl. 33, No. 11, Article ID 115003, 28 p. (2017). MSC: 65J22 65J20 47J06 80A23 PDFBibTeX XMLCite \textit{J. Rafiee} and \textit{A. C. Reynolds}, Inverse Probl. 33, No. 11, Article ID 115003, 28 p. (2017; Zbl 1379.65033) Full Text: DOI
Estatico, Claudio; Gratton, Serge; Lenti, Flavia; Titley-Peloquin, David A conjugate gradient like method for \(p\)-norm minimization in functional spaces. (English) Zbl 1379.65029 Numer. Math. 137, No. 4, 895-922 (2017). Reviewer: Bangti Jin (London) MSC: 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{C. Estatico} et al., Numer. Math. 137, No. 4, 895--922 (2017; Zbl 1379.65029) Full Text: DOI
Wang, Jun-Gang; Li, Yan; Ran, Yu-Hong Convergence of Chebyshev type regularization method under Morozov discrepancy principle. (English) Zbl 1376.65091 Appl. Math. Lett. 74, 174-180 (2017). MSC: 65J22 65J20 65J15 47J06 PDFBibTeX XMLCite \textit{J.-G. Wang} et al., Appl. Math. Lett. 74, 174--180 (2017; Zbl 1376.65091) Full Text: DOI
Bilyk, Dmitry; Lacey, Michael T. One-bit sensing, discrepancy and Stolarsky’s principle. (English. Russian original) Zbl 1388.11052 Sb. Math. 208, No. 6, 744-763 (2017); translation from Mat. Sb. 208, No. 6, 4-25 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11K38 94A12 PDFBibTeX XMLCite \textit{D. Bilyk} and \textit{M. T. Lacey}, Sb. Math. 208, No. 6, 744--763 (2017; Zbl 1388.11052); translation from Mat. Sb. 208, No. 6, 4--25 (2017) Full Text: DOI arXiv
Jin, Qinian On a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian method. (English) Zbl 1376.65086 Numer. Math. 136, No. 4, 973-992 (2017). Reviewer: Bangti Jin (London) MSC: 65J10 65J20 65J22 47A52 45A05 65R20 PDFBibTeX XMLCite \textit{Q. Jin}, Numer. Math. 136, No. 4, 973--992 (2017; Zbl 1376.65086) Full Text: DOI
Langer, Andreas Automated parameter selection for total variation minimization in image restoration. (English) Zbl 1369.94030 J. Math. Imaging Vis. 57, No. 2, 239-268 (2017). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{A. Langer}, J. Math. Imaging Vis. 57, No. 2, 239--268 (2017; Zbl 1369.94030) Full Text: DOI arXiv