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
Zhang, Hongwu One regularization method for a Cauchy problem of semilinear elliptic equation. (Chinese. English summary) Zbl 1513.35255 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45-57 (2022). MSC: 35J61 65J20 PDFBibTeX XMLCite \textit{H. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45--57 (2022; Zbl 1513.35255) Full Text: Link
Yang, Fan; Sun, Qiaoxi; Li, Xiaoxiao Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485-1518 (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485--1518 (2022; Zbl 1499.35706) Full Text: DOI
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. (English) Zbl 1487.65144 Numer. Algorithms 90, No. 2, 881-903 (2022). MSC: 65M32 65M30 65J20 65M12 65M15 35B45 35B65 35K05 35R30 35R25 26A33 35R11 35Q79 PDFBibTeX XMLCite \textit{S. Yang} et al., Numer. Algorithms 90, No. 2, 881--903 (2022; Zbl 1487.65144) Full Text: DOI
Lampe, Jörg; Voss, Heinrich A survey on variational characterizations for nonlinear eigenvalue problems. (English) Zbl 07436835 ETNA, Electron. Trans. Numer. Anal. 55, 1-75 (2022). MSC: 65-XX 35P30 47A52 47A75 47J10 65F15 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, ETNA, Electron. Trans. Numer. Anal. 55, 1--75 (2022; Zbl 07436835) Full Text: DOI Link
Duc, Phuong Nguyen; Binh, Ho Duy; Long, Le Dinh; Van, Ho Thi Kim Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition. (English) Zbl 1494.35184 Adv. Difference Equ. 2021, Paper No. 470, 18 p. (2021). MSC: 35R30 26A33 35R11 PDFBibTeX XMLCite \textit{P. N. Duc} et al., Adv. Difference Equ. 2021, Paper No. 470, 18 p. (2021; Zbl 1494.35184) Full Text: DOI
Xue, Xuemin; Xiong, Xiangtuan; Zhang, Yuanxiang Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation. (English) Zbl 1525.65090 AIMS Math. 6, No. 10, 11425-11448 (2021). MSC: 65M32 35K05 35R30 65J10 PDFBibTeX XMLCite \textit{X. Xue} et al., AIMS Math. 6, No. 10, 11425--11448 (2021; Zbl 1525.65090) Full Text: DOI
Fan, Bin; Azaïez, Mejdi; Xu, Chuanju An extension of the Landweber regularization for a backward time fractional wave problem. (English) Zbl 1476.65218 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893-2916 (2021). MSC: 65M32 35R11 47A52 35L05 PDFBibTeX XMLCite \textit{B. Fan} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2893--2916 (2021; Zbl 1476.65218) Full Text: DOI
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng Fiber product homotopy method for multiparameter eigenvalue problems. (English) Zbl 1473.65061 Numer. Math. 148, No. 4, 853-888 (2021). MSC: 65H20 65H17 65H10 35P30 PDFBibTeX XMLCite \textit{J. I. Rodriguez} et al., Numer. Math. 148, No. 4, 853--888 (2021; Zbl 1473.65061) Full Text: DOI arXiv
Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping On a weighted time-fractional asymptotical regularization method. (English) Zbl 1524.65215 J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021). MSC: 65J20 65J10 47A52 35R30 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021; Zbl 1524.65215) Full Text: DOI
Huynh, Le Nhat; Zhou, Yong; O’Regan, Donal; Tuan, Nguyen Huy Fractional Landweber method for an initial inverse problem for time-fractional wave equations. (English) Zbl 1460.35375 Appl. Anal. 100, No. 4, 860-878 (2021). MSC: 35R11 35A25 35R30 35L20 PDFBibTeX XMLCite \textit{L. N. Huynh} et al., Appl. Anal. 100, No. 4, 860--878 (2021; Zbl 1460.35375) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan; Nie, Yan Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. (English) Zbl 1467.65090 Appl. Numer. Math. 160, 217-241 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M22 65M15 65J20 60H40 35R11 35R30 35R25 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Numer. Math. 160, 217--241 (2021; Zbl 1467.65090) Full Text: DOI
Luc, Nguyen Hoang; Huynh, Le Nhat; O’Regan, Donal; Can, Nguyen Huu Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method. (English) Zbl 1486.65055 Adv. Difference Equ. 2020, Paper No. 459, 21 p. (2020). MSC: 65J20 65J10 35R11 65R20 47A52 26A33 PDFBibTeX XMLCite \textit{N. H. Luc} et al., Adv. Difference Equ. 2020, Paper No. 459, 21 p. (2020; Zbl 1486.65055) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan; Han, Yaozong A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder. (English) Zbl 07476512 Int. J. Comput. Math. 97, No. 11, 2375-2393 (2020). MSC: 65-XX 35R25 35R30 65J20 65M30 PDFBibTeX XMLCite \textit{S. Yang} et al., Int. J. Comput. Math. 97, No. 11, 2375--2393 (2020; Zbl 07476512) Full Text: DOI
Yang, Fan; Pu, Qu; Li, Xiao-Xiao The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation. (English) Zbl 1440.65123 J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020). MSC: 65M30 65M32 65M06 65M12 65J20 35R30 35R25 35R11 26A33 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020; Zbl 1440.65123) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space. (English) Zbl 1431.65160 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25-38 (2020). MSC: 65M32 65M30 35R11 35R30 PDFBibTeX XMLCite \textit{X. Xiong} and \textit{X. Xue}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25--38 (2020; Zbl 1431.65160) Full Text: DOI
Binh, Tran Thanh; Luc, Nguyen Hoang; O’Regan, Donal; Can, Nguyen H. On an initial inverse problem for a diffusion equation with a conformable derivative. (English) Zbl 1487.35395 Adv. Difference Equ. 2019, Paper No. 481, 24 p. (2019). MSC: 35R11 26A33 35R30 PDFBibTeX XMLCite \textit{T. T. Binh} et al., Adv. Difference Equ. 2019, Paper No. 481, 24 p. (2019; Zbl 1487.35395) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan A fractional Tikhonov regularisation method for finding source terms in a time-fractional radial heat equation. (English) Zbl 1462.35455 East Asian J. Appl. Math. 9, No. 2, 386-408 (2019). MSC: 35R25 35R30 35R11 35K20 65J20 65M30 PDFBibTeX XMLCite \textit{S. Yang} and \textit{X. Xiong}, East Asian J. Appl. Math. 9, No. 2, 386--408 (2019; Zbl 1462.35455) Full Text: DOI
Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin A fractional Landweber method for solving backward time-fractional diffusion problem. (English) Zbl 1442.65224 Comput. Math. Appl. 78, No. 1, 81-91 (2019). MSC: 65M30 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 78, No. 1, 81--91 (2019; Zbl 1442.65224) Full Text: DOI
Benner, Peter; Onwunta, Akwum; Stoll, Martin A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. (English) Zbl 1420.65043 Comput. Methods Appl. Math. 19, No. 1, 5-22 (2019). MSC: 65F15 60H15 35R60 60H35 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Methods Appl. Math. 19, No. 1, 5--22 (2019; Zbl 1420.65043) Full Text: DOI arXiv
Boiko, Andrey V.; Demyanko, Kirill V.; Nechepurenko, Yuri M. Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries. (English) Zbl 1428.65072 Russ. J. Numer. Anal. Math. Model. 34, No. 1, 15-29 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N25 76E05 76D10 76D05 35Q30 65N35 65F15 35B40 PDFBibTeX XMLCite \textit{A. V. Boiko} et al., Russ. J. Numer. Anal. Math. Model. 34, No. 1, 15--29 (2019; Zbl 1428.65072) Full Text: DOI
Khieu, Tran Thi; Vo, Hoang-Hung Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space. (English) Zbl 1402.65089 J. Comput. Appl. Math. 345, 114-126 (2019). MSC: 65M06 35R11 35R30 65Y20 65N20 PDFBibTeX XMLCite \textit{T. T. Khieu} and \textit{H.-H. Vo}, J. Comput. Appl. Math. 345, 114--126 (2019; Zbl 1402.65089) Full Text: DOI
Xiong, Xiangtuan; Zhuang, E.; Xue, Xuemin; Qian, Zhi A regularization framework for mildly ill-posed problems connected with pseudo-differential operator. (English) Zbl 1440.65281 J. Comput. Appl. Math. 341, 1-11 (2018). Reviewer: Dinh Nho Hào (Hanoi) MSC: 65R30 65D25 35R30 53C35 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 341, 1--11 (2018; Zbl 1440.65281) Full Text: DOI
Zheng, Guang-Hui; Zhang, Quan-Guo Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method. (English) Zbl 1369.65137 Inverse Probl. Sci. Eng. 25, No. 7, 965-977 (2017). MSC: 65N21 65N20 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng} and \textit{Q.-G. Zhang}, Inverse Probl. Sci. Eng. 25, No. 7, 965--977 (2017; Zbl 1369.65137) Full Text: DOI
Xiong, Xiangtuan; Li, Jinmei; Wen, Jin Some novel linear regularization methods for a deblurring problem. (English) Zbl 1359.35235 Inverse Probl. Imaging 11, No. 2, 403-426 (2017). MSC: 35S10 65M12 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., Inverse Probl. Imaging 11, No. 2, 403--426 (2017; Zbl 1359.35235) Full Text: DOI
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. (English) Zbl 1349.65655 J. Comput. Phys. 298, 585-601 (2015). MSC: 65N35 65N25 35J05 PDFBibTeX XMLCite \textit{B. Plestenjak} et al., J. Comput. Phys. 298, 585--601 (2015; Zbl 1349.65655) Full Text: DOI Link
Bosch, Jessica; Stoll, Martin A fractional inpainting model based on the vector-valued Cahn-Hilliard equation. (English) Zbl 1328.65214 SIAM J. Imaging Sci. 8, No. 4, 2352-2382 (2015). MSC: 65M70 35R35 35K55 65D18 35Q35 94A08 35R11 93C20 82C26 PDFBibTeX XMLCite \textit{J. Bosch} and \textit{M. Stoll}, SIAM J. Imaging Sci. 8, No. 4, 2352--2382 (2015; Zbl 1328.65214) Full Text: DOI
Benner, Peter; Onwunta, Akwum; Stoll, Martin Low-rank solution of unsteady diffusion equations with stochastic coefficients. (English) Zbl 1325.65016 SIAM/ASA J. Uncertain. Quantif. 3, 622-649 (2015). MSC: 65C30 60H15 60H35 35R60 65M60 65F08 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM/ASA J. Uncertain. Quantif. 3, 622--649 (2015; Zbl 1325.65016) Full Text: DOI Link
Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. (English) Zbl 1349.65511 J. Comput. Phys. 261, 244-255 (2014). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Comput. Phys. 261, 244--255 (2014; Zbl 1349.65511) Full Text: DOI
Huang, Tsung-Ming; Kuo, Yueh-Cheng; Wang, Weichung Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center. (English) Zbl 1271.65065 J. Sci. Comput. 55, No. 3, 529-551 (2013). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 35Q61 78M20 65F08 65M06 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., J. Sci. Comput. 55, No. 3, 529--551 (2013; Zbl 1271.65065) Full Text: DOI Link
Li, Ming; Xiong, Xiangtuan On a fractional backward heat conduction problem: application to deblurring. (English) Zbl 1268.65127 Comput. Math. Appl. 64, No. 8, 2594-2602 (2012). MSC: 65M30 35R11 94A08 45K05 PDFBibTeX XMLCite \textit{M. Li} and \textit{X. Xiong}, Comput. Math. Appl. 64, No. 8, 2594--2602 (2012; Zbl 1268.65127) Full Text: DOI
Arbenz, Peter; Chinellato, Oscar On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices. (English) Zbl 1136.65040 Appl. Numer. Math. 58, No. 4, 381-394 (2008). MSC: 65F15 82D37 78A60 35Q60 65N30 65F35 PDFBibTeX XMLCite \textit{P. Arbenz} and \textit{O. Chinellato}, Appl. Numer. Math. 58, No. 4, 381--394 (2008; Zbl 1136.65040) Full Text: DOI