Steinerberger, Stefan Wasserstein distance, Fourier series and applications. (English) Zbl 07308735 Monatsh. Math. 194, No. 2, 305-338 (2021). MSC: 60B10 42A05 42A16 11L03 35B05 49Q20 11K38 60E05 PDF BibTeX XML Cite \textit{S. Steinerberger}, Monatsh. Math. 194, No. 2, 305--338 (2021; Zbl 07308735) Full Text: DOI
Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R. Lanczos-based fast blind deconvolution methods. (English) Zbl 07241397 J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021). MSC: 65 94 PDF BibTeX XML Cite \textit{L. Dykes} et al., J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021; Zbl 07241397) 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 07294899 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717-724 (2020). MSC: 65M30 PDF BibTeX XML Cite \textit{Z. Zhao} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717--724 (2020; Zbl 07294899)
Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane Variational regularisation for inverse problems with imperfect forward operators and general noise models. (English) Zbl 07283096 Inverse Probl. 36, No. 12, Article ID 125014, 32 p. (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49N45 49N15 PDF BibTeX XML Cite \textit{L. Bungert} et al., Inverse Probl. 36, No. 12, Article ID 125014, 32 p. (2020; Zbl 07283096) Full Text: DOI
Ding, Liang; Han, Weimin A projected gradient method for \(\alpha\ell_1-\beta\ell_2\) sparsity regularization. (English) Zbl 07283094 Inverse Probl. 36, No. 12, Article ID 125012, 30 p. (2020). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{L. Ding} and \textit{W. Han}, Inverse Probl. 36, No. 12, Article ID 125012, 30 p. (2020; Zbl 07283094) Full Text: DOI
Cornelis, Jeffrey; Vanroose, W. Projected Newton method for noise constrained \(\ell_p\) regularization. (English) Zbl 07283087 Inverse Probl. 36, No. 12, Article ID 125004, 32 p. (2020). MSC: 65F10 65K05 65K10 65F22 PDF BibTeX XML Cite \textit{J. Cornelis} and \textit{W. Vanroose}, Inverse Probl. 36, No. 12, Article ID 125004, 32 p. (2020; Zbl 07283087) Full Text: DOI
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 PDF BibTeX XML Cite \textit{B. Stankewitz}, Electron. J. Stat. 14, No. 2, 3396--3428 (2020; Zbl 1451.65071) Full Text: DOI 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: 47A 62G 47N PDF BibTeX XML Cite \textit{T. Jahn} and \textit{B. Jin}, Inverse Probl. 36, No. 9, Article ID 095009, 30 p. (2020; Zbl 07252746) Full Text: DOI
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 PDF BibTeX XML Cite \textit{N. J. A. Egarguin} et al., Inverse Probl. 36, No. 9, Article ID 095005, 28 p. (2020; Zbl 1448.76139) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI
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 PDF BibTeX XML Cite \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). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 65R32 PDF BibTeX XML Cite \textit{A. Buccini} et al., J. Comput. Appl. Math. 373, Article ID 112138, 7 p. (2020; Zbl 1441.65045) Full Text: DOI
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 PDF BibTeX XML Cite \textit{B. Hofmann} and \textit{R. Plato}, ETNA, Electron. Trans. Numer. Anal. 53, 313--328 (2020; Zbl 07192776) Full Text: DOI 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 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{B. Hofmann}, Appl. Anal. 99, No. 6, 1000--1025 (2020; Zbl 1443.47014) Full Text: DOI
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). MSC: 65J20 47J06 47A52 PDF BibTeX XML Cite \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 07173390 J. Inverse Ill-Posed Probl. 28, No. 1, 17-32 (2020). MSC: 35R11 45Q05 49N45 PDF BibTeX XML Cite \textit{X. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 17--32 (2020; Zbl 07173390) 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 07161550 J. Comput. Appl. Math. 368, Article ID 112566, 15 p. (2020). Reviewer: Robert Plato (Siegen) MSC: 65M32 65M12 65M60 35R11 26A33 44A10 30B40 33E12 PDF BibTeX XML Cite \textit{Z. Ruan} and \textit{S. Zhang}, J. Comput. Appl. Math. 368, Article ID 112566, 15 p. (2020; Zbl 07161550) Full Text: DOI
Grimm, Volker A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. (English) Zbl 07153874 Inverse Probl. 36, No. 1, Article ID 015008, 19 p. (2020). MSC: 65L 65F 65N 35Q PDF BibTeX XML Cite \textit{V. Grimm}, Inverse Probl. 36, No. 1, Article ID 015008, 19 p. (2020; Zbl 07153874) Full Text: DOI
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 PDF BibTeX XML Cite \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 07183471 Appl. Math. Modelling 68, 353-367 (2019). MSC: 65 94 PDF BibTeX XML Cite \textit{H. Pan} et al., Appl. Math. Modelling 68, 353--367 (2019; Zbl 07183471) 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 PDF BibTeX XML Cite \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 07092278 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813-2826 (2019). MSC: 65J20 65J15 47J06 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2813--2826 (2019; Zbl 07092278) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 07042019 J. Comput. Appl. Math. 352, 181-193 (2019). MSC: 94A08 65D18 PDF BibTeX XML Cite \textit{J. Huang} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 352, 181--193 (2019; Zbl 07042019) 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 PDF BibTeX XML Cite \textit{N. Schenkels} and \textit{W. Vanroose}, J. Comput. Appl. Math. 348, 14--25 (2019; Zbl 1408.65068) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. Blanchard} et al., Electron. J. Stat. 12, No. 2, 3204--3231 (2018; Zbl 1403.65025) Full Text: DOI Euclid arXiv
Clason, Christian; Klassen, Andrej Quasi-solution of linear inverse problems in non-reflexive Banach spaces. (English) Zbl 06969206 J. Inverse Ill-Posed Probl. 26, No. 5, 689-702 (2018). MSC: 47A52 65J20 49M15 PDF BibTeX XML Cite \textit{C. Clason} and \textit{A. Klassen}, J. Inverse Ill-Posed Probl. 26, No. 5, 689--702 (2018; Zbl 06969206) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{H. Egger} and \textit{B. Hofmann}, Inverse Probl. 34, No. 11, Article ID 115015, 17 p. (2018; Zbl 1415.65130) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{D. Bilyk} et al., Constr. Approx. 48, No. 1, 31--60 (2018; Zbl 1426.11075) Full Text: DOI
Sabari, M.; George, Santhosh Modified minimal error method for nonlinear ill-posed problems. (English) Zbl 06890282 Comput. Methods Appl. Math. 18, No. 2, 313-321 (2018). MSC: 65J15 65J20 PDF BibTeX XML Cite \textit{M. Sabari} and \textit{S. George}, Comput. Methods Appl. Math. 18, No. 2, 313--321 (2018; Zbl 06890282) 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 06887276 J. Comput. Appl. Math. 342, 83-95 (2018). MSC: 65N21 65N20 65N15 80A23 35J05 35B65 35R30 35B25 PDF BibTeX XML Cite \textit{L. Bedin} et al., J. Comput. Appl. Math. 342, 83--95 (2018; Zbl 06887276) Full Text: DOI
Neubauer, Andreas A new gradient method for ill-posed problems. (English) Zbl 06866014 Numer. Funct. Anal. Optim. 39, No. 6, 737-762 (2018). MSC: 65J20 65R30 47J06 47A52 PDF BibTeX XML Cite \textit{A. Neubauer}, Numer. Funct. Anal. Optim. 39, No. 6, 737--762 (2018; Zbl 06866014) Full Text: DOI
Wang, Yuchan; Liu, Jijun On the edge detection of an image by numerical differentiations for gray function. (English) Zbl 06864694 Math. Methods Appl. Sci. 41, No. 6, 2466-2479 (2018). MSC: 65D25 41A25 68U10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Liu}, Math. Methods Appl. Sci. 41, No. 6, 2466--2479 (2018; Zbl 06864694) 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 PDF BibTeX XML Cite \textit{K. van Bockstal} and \textit{L. Marin}, Comput. Methods Appl. Mech. Eng. 321, 269--293 (2017; Zbl 1439.74102) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{A. Langer}, J. Math. Imaging Vis. 57, No. 2, 239--268 (2017; Zbl 1369.94030) Full Text: DOI arXiv
Hanke, Martin A taste of inverse problems. Basic theory and examples. (English) Zbl 1381.65042 Other Titles in Applied Mathematics 153. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-493-5/pbk; 978-1-61197-494-2/ebook). viii, 162 p. (2017). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 65-01 47A52 65L09 65M32 00A06 65J20 65J10 65N21 65R32 PDF BibTeX XML Cite \textit{M. Hanke}, A taste of inverse problems. Basic theory and examples. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1381.65042) Full Text: DOI
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDF BibTeX XML Cite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation. (English) Zbl 1367.65061 BIT 57, No. 2, 499-529 (2017). MSC: 65F22 65R20 45B05 65F20 65R30 65R32 PDF BibTeX XML Cite \textit{R. A. Renaut} et al., BIT 57, No. 2, 499--529 (2017; Zbl 1367.65061) Full Text: DOI arXiv
Zwaan, Ian N.; Hochstenbach, Michiel E. Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization. (English) Zbl 1370.65021 J. Sci. Comput. 70, No. 3, 990-1009 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F22 65F08 PDF BibTeX XML Cite \textit{I. N. Zwaan} and \textit{M. E. Hochstenbach}, J. Sci. Comput. 70, No. 3, 990--1009 (2017; Zbl 1370.65021) Full Text: DOI
Pisarenco, Maxim; Setija, Irwan D. Compact discrepancy and chi-squared principles for over-determined inverse problems. (English) Zbl 1368.65064 J. Inverse Ill-Posed Probl. 25, No. 3, 357-372 (2017). MSC: 65F20 65F22 PDF BibTeX XML Cite \textit{M. Pisarenco} and \textit{I. D. Setija}, J. Inverse Ill-Posed Probl. 25, No. 3, 357--372 (2017; Zbl 1368.65064) Full Text: DOI
Renaut, Rosemary A.; Vatankhah, Saeed; Ardestani, Vahid E. Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems. (English) Zbl 1360.65115 SIAM J. Sci. Comput. 39, No. 2, B221-B243 (2017). MSC: 65F22 65F10 65D18 PDF BibTeX XML Cite \textit{R. A. Renaut} et al., SIAM J. Sci. Comput. 39, No. 2, B221--B243 (2017; Zbl 1360.65115) Full Text: DOI arXiv
Yang, Xiaojuan An efficient iterative method to general-form to general-form Tikhonov regularization. (English) Zbl 1376.65064 Theor. Math. Appl. 6, No. 2, 51-66 (2016). MSC: 65F22 PDF BibTeX XML Cite \textit{X. Yang}, Theor. Math. Appl. 6, No. 2, 51--66 (2016; Zbl 1376.65064)
Kokurin, M. Yu. Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution. (English. Russian original) Zbl 1444.47066 Comput. Math. Math. Phys. 56, No. 9, 1523-1535 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1543-1555 (2016). Reviewer: Robert Plato (Siegen) MSC: 47J06 47J25 65J15 65J20 65J22 65R30 65R32 PDF BibTeX XML Cite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 56, No. 9, 1523--1535 (2016; Zbl 1444.47066); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1543--1555 (2016) Full Text: DOI
Pornsawad, Pornsarp; Böckmann, Christine Modified iterative Runge-Kutta-type methods for nonlinear ill-posed problems. (English) Zbl 1360.65162 Numer. Funct. Anal. Optim. 37, No. 12, 1562-1589 (2016). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65J20 47J06 47J25 65J15 PDF BibTeX XML Cite \textit{P. Pornsawad} and \textit{C. Böckmann}, Numer. Funct. Anal. Optim. 37, No. 12, 1562--1589 (2016; Zbl 1360.65162) Full Text: DOI
Margotti, Fábio Mixed gradient-Tikhonov methods for solving nonlinear ill-posed problems in Banach spaces. (English) Zbl 1359.65088 Inverse Probl. 32, No. 12, Article ID 125012, 25 p. (2016). Reviewer: Bangti Jin (London) MSC: 65J15 65J20 47J06 PDF BibTeX XML Cite \textit{F. Margotti}, Inverse Probl. 32, No. 12, Article ID 125012, 25 p. (2016; Zbl 1359.65088) Full Text: DOI
Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella Convex image denoising via non-convex regularization with parameter selection. (English) Zbl 1391.94088 J. Math. Imaging Vis. 56, No. 2, 195-220 (2016). MSC: 94A08 PDF BibTeX XML Cite \textit{A. Lanza} et al., J. Math. Imaging Vis. 56, No. 2, 195--220 (2016; Zbl 1391.94088) Full Text: DOI
Gockenbach, Mark S. Linear inverse problems and Tikhonov regularization. (English) Zbl 1367.65085 The Carus Mathematical Monographs 32. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-141-8/hbk; 978-1-61444-029-1/ebook). xiii, 321 p. (2016). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 44A12 47A52 65F22 65J20 65L08 65L09 65R30 65R32 65J10 65R10 45B05 45A05 92C55 PDF BibTeX XML Cite \textit{M. S. Gockenbach}, Linear inverse problems and Tikhonov regularization. Washington, DC: Mathematical Association of America (MAA) (2016; Zbl 1367.65085)
Gazzola, Silvia; Reichel, Lothar A new framework for multi-parameter regularization. (English) Zbl 1353.65032 BIT 56, No. 3, 919-949 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} and \textit{L. Reichel}, BIT 56, No. 3, 919--949 (2016; Zbl 1353.65032) Full Text: DOI
Bakushinsky, Anatoly; Smirnova, Alexandra On convergence rates for asymptotic discrepancy principle. (English) Zbl 1356.47017 J. Inverse Ill-Posed Probl. 24, No. 4, 463-468 (2016). MSC: 47A52 92D30 65J20 PDF BibTeX XML Cite \textit{A. Bakushinsky} and \textit{A. Smirnova}, J. Inverse Ill-Posed Probl. 24, No. 4, 463--468 (2016; Zbl 1356.47017) Full Text: DOI
Neubauer, Andreas Some generalizations for Landweber iteration for nonlinear ill-posed problems in Hilbert scales. (English) Zbl 1350.65053 J. Inverse Ill-Posed Probl. 24, No. 4, 393-406 (2016). MSC: 65J15 65J20 47J06 47H30 PDF BibTeX XML Cite \textit{A. Neubauer}, J. Inverse Ill-Posed Probl. 24, No. 4, 393--406 (2016; Zbl 1350.65053) Full Text: DOI
Shi, Cong; Wang, Chen; Wei, Ting Convolution regularization method for backward problems of linear parabolic equations. (English) Zbl 1346.65046 Appl. Numer. Math. 108, 143-156 (2016). MSC: 65M30 35K20 35R25 65M12 PDF BibTeX XML Cite \textit{C. Shi} et al., Appl. Numer. Math. 108, 143--156 (2016; Zbl 1346.65046) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng Projected nonstationary iterated Tikhonov regularization. (English) Zbl 1341.65017 BIT 56, No. 2, 467-487 (2016). MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{G. Huang} et al., BIT 56, No. 2, 467--487 (2016; Zbl 1341.65017) Full Text: DOI
Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena Regularization by discretization in Banach spaces. (English) Zbl 1342.65136 Inverse Probl. 32, No. 3, Article ID 035004, 28 p. (2016); erratum ibid. 32, No. 6, Article ID 069501, 1 p. (2016). Reviewer: Bangti Jin (London) MSC: 65J20 47A52 65J10 45D05 45A05 65R20 65R30 PDF BibTeX XML Cite \textit{U. Hämarik} et al., Inverse Probl. 32, No. 3, Article ID 035004, 28 p. (2016; Zbl 1342.65136) Full Text: DOI arXiv
Wang, Zewen; Zhang, Wen; Wu, Bin Regularized optimization method for determining the space-dependent source in a parabolic equation without iteration. (English) Zbl 1335.65079 J. Comput. Anal. Appl. 20, No. 6, 1107-1126 (2016). MSC: 65M32 65M30 65M60 35K20 35R30 35R25 PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Comput. Anal. Appl. 20, No. 6, 1107--1126 (2016; Zbl 1335.65079)
Iglesias, Marco A. A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems. (English) Zbl 1334.65110 Inverse Probl. 32, No. 2, Article ID 025002, 45 p. (2016). MSC: 65K10 49J20 49N45 PDF BibTeX XML Cite \textit{M. A. Iglesias}, Inverse Probl. 32, No. 2, Article ID 025002, 45 p. (2016; Zbl 1334.65110) Full Text: DOI arXiv
Bazán, Fermín S. V.; Kleefeld, Andreas; Leem, Koung Hee; Pelekanos, George Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers. (English) Zbl 1333.65124 Linear Algebra Appl. 495, 289-323 (2016). MSC: 65N21 35R30 35J05 65N38 65F22 PDF BibTeX XML Cite \textit{F. S. V. Bazán} et al., Linear Algebra Appl. 495, 289--323 (2016; Zbl 1333.65124) Full Text: DOI
Li, Li; Han, Bo A new iteratively total variational regularization for nonlinear inverse problems. (English) Zbl 1332.65073 J. Comput. Appl. Math. 298, 40-52 (2016). MSC: 65J22 65J15 47J25 65J20 47J06 PDF BibTeX XML Cite \textit{L. Li} and \textit{B. Han}, J. Comput. Appl. Math. 298, 40--52 (2016; Zbl 1332.65073) Full Text: DOI
Sun, Yao; Ma, Fuming Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data. (English) Zbl 1403.80041 Eng. Anal. Bound. Elem. 59, 112-122 (2015). MSC: 80M25 65N80 80A20 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{F. Ma}, Eng. Anal. Bound. Elem. 59, 112--122 (2015; Zbl 1403.80041) Full Text: DOI
Ruan, Zhousheng; Yang, Jerry Zhijian; Lu, Xiliang Tikhonov regularisation method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 06797001 East Asian J. Appl. Math. 5, No. 3, 273-300 (2015). MSC: 65M32 65M12 65J20 49M15 49N45 35B65 35R11 PDF BibTeX XML Cite \textit{Z. Ruan} et al., East Asian J. Appl. Math. 5, No. 3, 273--300 (2015; Zbl 06797001) Full Text: DOI
Yang, Xu; Luo, Xingjun; Yang, Suhua; Li, Fanchun A fast multiscale method for the Fredholm integral equation with nonexactly given input data via modified discrepancy principle. (Chinese. English summary) Zbl 1349.65726 Numer. Math., Nanjing 37, No. 2, 111-130 (2015). MSC: 65R20 65R30 45B05 PDF BibTeX XML Cite \textit{X. Yang} et al., Numer. Math., Nanjing 37, No. 2, 111--130 (2015; Zbl 1349.65726)
Subbotina, N. N.; Tokmantsev, T. B.; Krupennikov, E. A. On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method. (English. Russian original) Zbl 1336.65114 Proc. Steklov Inst. Math. 291, 253-262 (2015); translation from Tr. Mat. Inst. Steklova 291, 266-275 (2015). MSC: 65K10 93C10 91B64 PDF BibTeX XML Cite \textit{N. N. Subbotina} et al., Proc. Steklov Inst. Math. 291, 253--262 (2015; Zbl 1336.65114); translation from Tr. Mat. Inst. Steklova 291, 266--275 (2015) Full Text: DOI
Mahale, Pallavi Simplified generalized Gauss-Newton iterative method under Morozove type stopping rule. (English) Zbl 1337.47077 Numer. Funct. Anal. Optim. 36, No. 11, 1448-1470 (2015). MSC: 47J06 65J22 65M30 PDF BibTeX XML Cite \textit{P. Mahale}, Numer. Funct. Anal. Optim. 36, No. 11, 1448--1470 (2015; Zbl 1337.47077) Full Text: DOI
Sun, Yao; Ma, Fuming Appropriate implementation of an invariant MFS for inverse boundary determination problem. (English) Zbl 1329.65299 Inverse Probl. Sci. Eng. 23, No. 6, 1040-1055 (2015). MSC: 65N80 35R30 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{F. Ma}, Inverse Probl. Sci. Eng. 23, No. 6, 1040--1055 (2015; Zbl 1329.65299) Full Text: DOI
Van Bockstal, K.; Slodička, M. Recovery of a space-dependent vector source in thermoelastic systems. (English) Zbl 1329.65214 Inverse Probl. Sci. Eng. 23, No. 6, 956-968 (2015). MSC: 65M32 74F05 80A23 PDF BibTeX XML Cite \textit{K. Van Bockstal} and \textit{M. Slodička}, Inverse Probl. Sci. Eng. 23, No. 6, 956--968 (2015; Zbl 1329.65214) Full Text: DOI
Regińska, Teresa; Regiński, Kazimierz Regularization strategy for determining laser beam quality parameters. (English) Zbl 1327.35426 J. Inverse Ill-Posed Probl. 23, No. 6, 657-671 (2015). MSC: 35R25 65D10 65M30 78A60 PDF BibTeX XML Cite \textit{T. Regińska} and \textit{K. Regiński}, J. Inverse Ill-Posed Probl. 23, No. 6, 657--671 (2015; Zbl 1327.35426) Full Text: DOI
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar On fractional Tikhonov regularization. (English) Zbl 1327.65075 J. Inverse Ill-Posed Probl. 23, No. 6, 611-625 (2015). MSC: 65F22 65R30 65R32 PDF BibTeX XML Cite \textit{D. Gerth} et al., J. Inverse Ill-Posed Probl. 23, No. 6, 611--625 (2015; Zbl 1327.65075) Full Text: DOI
Zanni, Luca; Benfenati, Alessandro; Bertero, Mario; Ruggiero, Valeria Numerical methods for parameter estimation in Poisson data inversion. (English) Zbl 1327.65117 J. Math. Imaging Vis. 52, No. 3, 397-413 (2015). MSC: 65K05 90C25 65C60 62F10 PDF BibTeX XML Cite \textit{L. Zanni} et al., J. Math. Imaging Vis. 52, No. 3, 397--413 (2015; Zbl 1327.65117) Full Text: DOI
Nair, M. T. Role of Hilbert scales in regularization theory. (English) Zbl 1327.65270 Romeo, P.G. (ed.) et al., Semigroups, algebras and operator theory. Selected papers of the conference, ICSAOT-2014, Kochi, India, February 26–28, 2014. New Delhi: Springer (ISBN 978-81-322-2487-7/hbk; 978-81-322-2488-4/ebook). Springer Proceedings in Mathematics & Statistics 142, 159-176 (2015). MSC: 65R10 65J10 65J20 65R20 45B05 47A50 PDF BibTeX XML Cite \textit{M. T. Nair}, in: Semigroups, algebras and operator theory. Selected papers of the conference, ICSAOT-2014, Kochi, India, February 26--28, 2014. New Delhi: Springer. 159--176 (2015; Zbl 1327.65270) Full Text: DOI
Jin, Qinian Inexact Newton-Landweber iteration in Banach spaces with nonsmooth convex penalty terms. (English) Zbl 1326.65064 SIAM J. Numer. Anal. 53, No. 5, 2389-2413 (2015). MSC: 65J22 65J15 47J25 PDF BibTeX XML Cite \textit{Q. Jin}, SIAM J. Numer. Anal. 53, No. 5, 2389--2413 (2015; Zbl 1326.65064) Full Text: DOI
Erb, Wolfgang; Semenova, Evgeniya V. On adaptive discretization schemes for the solution of ill-posed problems with semiiterative methods. (English) Zbl 1337.65035 Appl. Anal. 94, No. 10, 2057-2076 (2015). Reviewer: Liu Xinguo (Qingdao) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{W. Erb} and \textit{E. V. Semenova}, Appl. Anal. 94, No. 10, 2057--2076 (2015; Zbl 1337.65035) Full Text: DOI arXiv
Sun, Yao; Ma, Fuming; Zhou, Xu An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity. (English) Zbl 06478158 J. Sci. Comput. 64, No. 1, 197-215 (2015). MSC: 65 PDF BibTeX XML Cite \textit{Y. Sun} et al., J. Sci. Comput. 64, No. 1, 197--215 (2015; Zbl 06478158) Full Text: DOI
Matonoha, C.; Papáček, Š. On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data. (English) Zbl 1321.65145 J. Comput. Appl. Math. 290, 598-608 (2015). MSC: 65M32 65M30 35K55 65M60 35R25 35R30 PDF BibTeX XML Cite \textit{C. Matonoha} and \textit{Š. Papáček}, J. Comput. Appl. Math. 290, 598--608 (2015; Zbl 1321.65145) Full Text: DOI
Nair, M. Thamban Morozov-type discrepancy principle for nonlinear ill-posed problems under \(\eta\)-condition. (English) Zbl 1323.65061 Proc. Indian Acad. Sci., Math. Sci. 125, No. 2, 227-238 (2015). Reviewer: T. C. Mohan (Chennai) MSC: 65J20 65J15 47J06 PDF BibTeX XML Cite \textit{M. T. Nair}, Proc. Indian Acad. Sci., Math. Sci. 125, No. 2, 227--238 (2015; Zbl 1323.65061) Full Text: DOI
Viloche Bazán, Fermín S. Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems. (English) Zbl 1323.65038 J. Sci. Comput. 63, No. 1, 163-184 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 PDF BibTeX XML Cite \textit{F. S. Viloche Bazán}, J. Sci. Comput. 63, No. 1, 163--184 (2015; Zbl 1323.65038) Full Text: DOI
Lv, Xiao-Guang; Huang, Ting-Zhu; Jiang, Le; Liu, Jun Two global iterative methods for ill-posed problems from image restoration. (English) Zbl 1320.65036 J. Comput. Anal. Appl. 18, No. 2, 219-237 (2015). MSC: 65D18 94A08 65F22 PDF BibTeX XML Cite \textit{X.-G. Lv} et al., J. Comput. Anal. Appl. 18, No. 2, 219--237 (2015; Zbl 1320.65036)
Yang, Xiao-Juan; Wang, Li A modified Tikhonov regularization method. (English) Zbl 1328.65096 J. Comput. Appl. Math. 288, 180-192 (2015). MSC: 65F22 65F15 PDF BibTeX XML Cite \textit{X.-J. Yang} and \textit{L. Wang}, J. Comput. Appl. Math. 288, 180--192 (2015; Zbl 1328.65096) Full Text: DOI
Richter, Mathias Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083 Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 PDF BibTeX XML Cite \textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083) Full Text: DOI
Kritzinger, Ralph; Pillichshammer, Friedrich \(L_p\)-discrepancy of the symmetrized van der Corput sequence. (English) Zbl 1320.11070 Arch. Math. 104, No. 5, 407-418 (2015). Reviewer: Florian Pausinger (Garching) MSC: 11K38 11K31 PDF BibTeX XML Cite \textit{R. Kritzinger} and \textit{F. Pillichshammer}, Arch. Math. 104, No. 5, 407--418 (2015; Zbl 1320.11070) Full Text: DOI arXiv
Brauchart, Johann S.; Dick, Josef; Fang, Lou Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling. (English) Zbl 1317.65005 J. Comput. Appl. Math. 286, 28-53 (2015). MSC: 65C05 11K38 91G60 91B24 PDF BibTeX XML Cite \textit{J. S. Brauchart} et al., J. Comput. Appl. Math. 286, 28--53 (2015; Zbl 1317.65005) Full Text: DOI arXiv
Nair, M. T. A unified treatment for Tikhonov regularization using a general stabilizing operator. (English) Zbl 1322.65065 Anal. Appl., Singap. 13, No. 2, 201-215 (2015). Reviewer: Bangti Jin (London) MSC: 65J10 65J20 47A52 PDF BibTeX XML Cite \textit{M. T. Nair}, Anal. Appl., Singap. 13, No. 2, 201--215 (2015; Zbl 1322.65065) Full Text: DOI
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria On Krylov projection methods and Tikhonov regularization. (English) Zbl 1312.65065 ETNA, Electron. Trans. Numer. Anal. 44, 83-123 (2015). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} et al., ETNA, Electron. Trans. Numer. Anal. 44, 83--123 (2015; Zbl 1312.65065) Full Text: EMIS