Wang, Qiu-Ya; She, Zi-Hang; Lao, Cheng-Xue; Lin, Fu-Rong Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations. (English) Zbl 07792403 Numer. Algorithms 95, No. 2, 859-895 (2024). MSC: 65M06 65N06 65F08 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Q.-Y. Wang} et al., Numer. Algorithms 95, No. 2, 859--895 (2024; Zbl 07792403) Full Text: DOI
Tang, Shi-Ping; Huang, Yu-Mei A fast preconditioning iterative method for solving the discretized second-order space-fractional advection-diffusion equations. (English) Zbl 07756734 J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024). MSC: 65Mxx 35Rxx 65Fxx PDFBibTeX XMLCite \textit{S.-P. Tang} and \textit{Y.-M. Huang}, J. Comput. Appl. Math. 438, Article ID 115513, 26 p. (2024; Zbl 07756734) Full Text: DOI
Qiao, Leijie; Qiu, Wenlin; Tang, Bo A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. (English) Zbl 07776965 Numer. Methods Partial Differ. Equations 39, No. 2, 1333-1354 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Qiao} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1333--1354 (2023; Zbl 07776965) Full Text: DOI
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962 Numer. Methods Partial Differ. Equations 39, No. 2, 1266-1286 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1266--1286 (2023; Zbl 07776962) Full Text: DOI
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. (English) Zbl 07772644 Comput. Math. Appl. 150, 211-228 (2023). MSC: 65M06 65M12 35R11 65F10 35Q56 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Math. Appl. 150, 211--228 (2023; Zbl 07772644) Full Text: DOI
Mu, Xinyue; Yang, Jiabao; Yao, Huanmin A binary Caputo-Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation. (English) Zbl 1523.35289 J. Appl. Math. Comput. 69, No. 5, 3755-3791 (2023). MSC: 35R11 35K20 34K37 PDFBibTeX XMLCite \textit{X. Mu} et al., J. Appl. Math. Comput. 69, No. 5, 3755--3791 (2023; Zbl 1523.35289) Full Text: DOI
Li, Tian-Yi; Chen, Fang; Sun, Hai-Wei; Sun, Tao Preconditioning technique based on sine transformation for nonlocal Helmholtz equations with fractional Laplacian. (English) Zbl 1526.65003 J. Sci. Comput. 97, No. 1, Paper No. 17, 20 p. (2023). MSC: 65F08 65F10 65N22 35R11 15B05 PDFBibTeX XMLCite \textit{T.-Y. Li} et al., J. Sci. Comput. 97, No. 1, Paper No. 17, 20 p. (2023; Zbl 1526.65003) Full Text: DOI
Qiu, Wenlin; Fairweather, Graeme; Yang, Xuehua; Zhang, Haixiang ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. (English) Zbl 07739303 Calcolo 60, No. 3, Paper No. 41, 34 p. (2023). MSC: 65M60 65M06 65N30 35R09 65M15 65M22 65M60 45K05 PDFBibTeX XMLCite \textit{W. Qiu} et al., Calcolo 60, No. 3, Paper No. 41, 34 p. (2023; Zbl 07739303) Full Text: DOI
Dai, Xiaoying; de Gironcoli, Stefano; Yang, Bin; Zhou, Aihui Mathematical analysis and numerical approximations of density functional theory models for metallic systems. (English) Zbl 1518.65072 Multiscale Model. Simul. 21, No. 3, 777-803 (2023). MSC: 65K10 65N25 49S05 35P30 PDFBibTeX XMLCite \textit{X. Dai} et al., Multiscale Model. Simul. 21, No. 3, 777--803 (2023; Zbl 1518.65072) Full Text: DOI arXiv
Huang, Yuan-Yuan; Qu, Wei; Lei, Siu-Long On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 07731325 Comput. Math. Appl. 145, 124-140 (2023). MSC: 65M06 35R11 65M12 65F08 65F10 PDFBibTeX XMLCite \textit{Y.-Y. Huang} et al., Comput. Math. Appl. 145, 124--140 (2023; Zbl 07731325) Full Text: DOI
Tang, Shi-Ping; Huang, Yu-Mei A fast ADI based matrix splitting preconditioning method for the high dimensional space fractional diffusion equations in conservative form. (English) Zbl 07731306 Comput. Math. Appl. 144, 210-220 (2023). MSC: 65M06 35R11 65M22 65F10 65F08 PDFBibTeX XMLCite \textit{S.-P. Tang} and \textit{Y.-M. Huang}, Comput. Math. Appl. 144, 210--220 (2023; Zbl 07731306) Full Text: DOI
Choudhary, Renu; Kumar, Devendra Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic \(B\)-splines. (English) Zbl 1524.35684 Int. J. Comput. Math. 100, No. 7, 1512-1531 (2023). MSC: 35R11 34K37 PDFBibTeX XMLCite \textit{R. Choudhary} and \textit{D. Kumar}, Int. J. Comput. Math. 100, No. 7, 1512--1531 (2023; Zbl 1524.35684) Full Text: DOI
Huang, Yun-Chi; Chou, Lot-Kei; Lei, Siu-Long Divide-and-conquer solver in tensor-train format for \(d\)-dimensional time-space fractional diffusion equations. (English) Zbl 1518.65088 J. Sci. Comput. 96, No. 1, Paper No. 29, 35 p. (2023). MSC: 65M06 65M12 65M15 65G50 41A63 26A33 35R11 PDFBibTeX XMLCite \textit{Y.-C. Huang} et al., J. Sci. Comput. 96, No. 1, Paper No. 29, 35 p. (2023; Zbl 1518.65088) Full Text: DOI
Aceto, L.; Mazza, M. A rational preconditioner for multi-dimensional Riesz fractional diffusion equations. (English) Zbl 07703996 Comput. Math. Appl. 143, 372-382 (2023). MSC: 65-XX 35R11 65M06 65F08 65F60 15B05 35R11 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{M. Mazza}, Comput. Math. Appl. 143, 372--382 (2023; Zbl 07703996) Full Text: DOI
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 PDFBibTeX XMLCite \textit{M. Bolten} et al., ETNA, Electron. Trans. Numer. Anal. 58, 136--163 (2023; Zbl 1516.15005) Full Text: DOI arXiv Link
Ding, Hengfei The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application. (English) Zbl 1512.65178 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107272, 34 p. (2023). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{H. Ding}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107272, 34 p. (2023; Zbl 1512.65178) Full Text: DOI
She, Zi-Hang; Qiu, Li-Min Fast TTTS iteration methods for implicit Runge-Kutta temporal discretization of Riesz space fractional advection-diffusion equations. (English) Zbl 07691966 Comput. Math. Appl. 141, 42-53 (2023). MSC: 65F10 35R11 65M06 65F08 65F35 PDFBibTeX XMLCite \textit{Z.-H. She} and \textit{L.-M. Qiu}, Comput. Math. Appl. 141, 42--53 (2023; Zbl 07691966) Full Text: DOI
Coco, Armando; Ekström, Sven-Erik; Russo, Giovanni; Serra-Capizzano, Stefano; Stissi, Santina Chiara Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators. (English) Zbl 1512.65242 Linear Algebra Appl. 667, 10-43 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N06 65N12 65N15 15B05 35J25 PDFBibTeX XMLCite \textit{A. Coco} et al., Linear Algebra Appl. 667, 10--43 (2023; Zbl 1512.65242) Full Text: DOI arXiv
Yang, Hong; Lao, Cheng-Xue; She, Zi-Hang Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients. (English) Zbl 1511.65088 Appl. Math. Comput. 445, Article ID 127829, 18 p. (2023). MSC: 65M06 35R11 65F08 65F10 PDFBibTeX XMLCite \textit{H. Yang} et al., Appl. Math. Comput. 445, Article ID 127829, 18 p. (2023; Zbl 1511.65088) Full Text: DOI
Yang, Yi; Huang, Jin; Wang, Yifei; Deng, Ting; Li, Hu Fast \(Q1\) finite element for two-dimensional integral fractional Laplacian. (English) Zbl 1511.65131 Appl. Math. Comput. 443, Article ID 127757, 14 p. (2023). MSC: 65N30 35J05 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 443, Article ID 127757, 14 p. (2023; Zbl 1511.65131) Full Text: DOI
Ding, Hengfei; Li, Changpin High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation. (English) Zbl 07676850 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107160, 40 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Ding} and \textit{C. Li}, Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107160, 40 p. (2023; Zbl 07676850) Full Text: DOI
Gong, Chunye; Li, Dongfang; Li, Lili; Zhao, Dan Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems. (English) Zbl 1524.65340 Comput. Math. Appl. 132, 1-17 (2023). MSC: 65M06 35K20 65M12 35K58 65F10 65N06 65H10 65F08 15A18 35K55 PDFBibTeX XMLCite \textit{C. Gong} et al., Comput. Math. Appl. 132, 1--17 (2023; Zbl 1524.65340) Full Text: DOI
Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDFBibTeX XMLCite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 1505.65284) Full Text: DOI
Faheem, Mo; Khan, Arshad A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140 Appl. Numer. Math. 184, 197-218 (2023). Reviewer: Dana Černá (Liberec) MSC: 65M70 65T60 65M12 44A10 35R09 45K05 45E10 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{M. Faheem} and \textit{A. Khan}, Appl. Numer. Math. 184, 197--218 (2023; Zbl 1508.65140) Full Text: DOI
Fakhar-Izadi, Farhad Fully spectral-Galerkin method for the one- and two-dimensional fourth-order time-fractional partial integro-differential equations with a weakly singular kernel. (English) Zbl 07777079 Numer. Methods Partial Differ. Equations 38, No. 2, 160-176 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Fakhar-Izadi}, Numer. Methods Partial Differ. Equations 38, No. 2, 160--176 (2022; Zbl 07777079) Full Text: DOI
Mohammadi, Rick Solmaz; Jalil, Rashidinia; Refahi, Sheikhani Amir Hosein Combination of sinc and radial basis functions for time-space fractional diffusion equations. (English) Zbl 1524.76436 J. Math. Model. 10, No. 2, 315-329 (2022). MSC: 76R50 26A33 35R11 PDFBibTeX XMLCite \textit{R. S. Mohammadi} et al., J. Math. Model. 10, No. 2, 315--329 (2022; Zbl 1524.76436) Full Text: DOI
Zhang, Min; Zhang, Guo-Feng Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing. (English) Zbl 1507.91239 Numer. Algorithms 91, No. 4, 1559-1575 (2022). MSC: 91G60 65M06 65N06 65F10 65F08 65F50 65F55 65N20 65N22 65Y05 15B05 26A33 35R11 91G20 35Q91 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{G.-F. Zhang}, Numer. Algorithms 91, No. 4, 1559--1575 (2022; Zbl 1507.91239) Full Text: DOI
Xu, Yuan; Lei, Siu-Long; Sun, Hai-Wei An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. (English) Zbl 1524.65425 Comput. Math. Appl. 124, 218-226 (2022). MSC: 65M06 65F10 35R11 65N55 65M12 26A33 15B05 65F08 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 124, 218--226 (2022; Zbl 1524.65425) Full Text: DOI
Huang, Xin; Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. (English) Zbl 1513.65054 Numer. Math., Theory Methods Appl. 15, No. 3, 565-591 (2022). MSC: 65F08 65N06 35R11 PDFBibTeX XMLCite \textit{X. Huang} et al., Numer. Math., Theory Methods Appl. 15, No. 3, 565--591 (2022; Zbl 1513.65054) Full Text: DOI arXiv
Li, Qing; Chen, Huanzhen Numerical analysis for compact difference scheme of fractional viscoelastic beam vibration models. (English) Zbl 1510.74127 Appl. Math. Comput. 427, Article ID 127146, 25 p. (2022). MSC: 74S20 65M06 35Q74 74H45 74K10 74S40 PDFBibTeX XMLCite \textit{Q. Li} and \textit{H. Chen}, Appl. Math. Comput. 427, Article ID 127146, 25 p. (2022; Zbl 1510.74127) Full Text: DOI
Noghrei, Nafiseh; Kerayechian, Asghar; Soheili, Ali R. Gaussian radial basis function and quadrature sinc method for two-dimensional space-fractional diffusion equations. (English) Zbl 1486.65207 Math. Sci., Springer 16, No. 1, 87-96 (2022). MSC: 65M70 35R11 65D12 76R50 PDFBibTeX XMLCite \textit{N. Noghrei} et al., Math. Sci., Springer 16, No. 1, 87--96 (2022; Zbl 1486.65207) Full Text: DOI
Sun, Lu-Yao; Fang, Zhi-Wei; Lei, Siu-Long; Sun, Hai-Wei; Zhang, Jia-Li A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations. (English) Zbl 1510.65210 Appl. Math. Comput. 425, Article ID 127095, 17 p. (2022). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{L.-Y. Sun} et al., Appl. Math. Comput. 425, Article ID 127095, 17 p. (2022; Zbl 1510.65210) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis. (English) Zbl 1524.65552 Comput. Math. Appl. 108, 24-32 (2022). MSC: 65M60 65M06 35R11 65M12 26A33 65M15 65N30 PDFBibTeX XMLCite \textit{J. Jia} et al., Comput. Math. Appl. 108, 24--32 (2022; Zbl 1524.65552) Full Text: DOI
Ding, Qinxu; Wong, Patricia J. Y. A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation. (English) Zbl 07777715 Numer. Methods Partial Differ. Equations 37, No. 1, 643-673 (2021). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Q. Ding} and \textit{P. J. Y. Wong}, Numer. Methods Partial Differ. Equations 37, No. 1, 643--673 (2021; Zbl 07777715) Full Text: DOI
Zhang, Lei; Zhang, Guo-Feng; Liang, Zhao-Zheng Fast preconditioned iterative methods for fractional Sturm-Liouville equations. (English) Zbl 1527.65075 Numer. Methods Partial Differ. Equations 37, No. 3, 2278-2295 (2021). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{L. Zhang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2278--2295 (2021; Zbl 1527.65075) Full Text: DOI
Mittal, Avinash K.; Shrivastava, Parnika; Panda, Manoj K. Time-space Jacobi pseudospectral simulation of multidimensional Schrödinger equation. (English) Zbl 07776040 Numer. Methods Partial Differ. Equations 37, No. 2, 1725-1751 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. K. Mittal} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1725--1751 (2021; Zbl 07776040) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Yong-Liang; Lyu, Pin; Carpentieri, Bruno A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients. (English) Zbl 07776007 Numer. Methods Partial Differ. Equations 37, No. 2, 1136-1162 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1136--1162 (2021; Zbl 07776007) Full Text: DOI arXiv
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei A fast compact difference method for two-dimensional nonlinear space-fractional complex Ginzburg-Landau equations. (English) Zbl 1513.65324 J. Comput. Math. 39, No. 5, 708-732 (2021). MSC: 65M06 65N06 35R11 35Q56 65T50 65F08 65F10 65M12 15B05 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Math. 39, No. 5, 708--732 (2021; Zbl 1513.65324) Full Text: DOI
Hao, Zhaopeng; Zhang, Zhongqiang; Du, Rui Fractional centered difference scheme for high-dimensional integral fractional Laplacian. (English) Zbl 07508456 J. Comput. Phys. 424, Article ID 109851, 17 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Hao} et al., J. Comput. Phys. 424, Article ID 109851, 17 p. (2021; Zbl 07508456) Full Text: DOI
Zhang, Haixiang; Yang, Xuehua; Tang, Qiong Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation. (English) Zbl 1480.65303 Int. J. Comput. Math. 98, No. 2, 288-304 (2021). MSC: 65M70 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., Int. J. Comput. Math. 98, No. 2, 288--304 (2021; Zbl 1480.65303) Full Text: DOI
Lin, Fu-Rong; Qu, Hai-Dong; She, Zi-Hang DNT preconditioner for one-sided space fractional diffusion equations. (English) Zbl 1496.65121 BIT 61, No. 4, 1311-1335 (2021). MSC: 65M06 65F08 65F10 65M22 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} et al., BIT 61, No. 4, 1311--1335 (2021; Zbl 1496.65121) Full Text: DOI
Iqbal, Azhar; Abd Hamid, Nur Nadiah; Ismail, Ahmad Izani Md.; Abbas, Muhammad Galerkin approximation with quintic B-spline as basis and weight functions for solving second order coupled nonlinear Schrödinger equations. (English) Zbl 07428943 Math. Comput. Simul. 187, 1-16 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Iqbal} et al., Math. Comput. Simul. 187, 1--16 (2021; Zbl 07428943) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Ostermann, Alexander; Gu, Xian-Ming; Zhao, Yong-Liang Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. (English) Zbl 1510.65196 Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021). MSC: 65M06 35K57 35R11 65M22 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Appl. Math. Comput. 408, Article ID 126360, 17 p. (2021; Zbl 1510.65196) Full Text: DOI
Pan, Kejia; Sun, Hai-Wei; Xu, Yuan; Xu, Yufeng An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients. (English) Zbl 1510.65202 Appl. Math. Comput. 402, Article ID 126091, 15 p. (2021). MSC: 65M06 35R11 65M55 PDFBibTeX XMLCite \textit{K. Pan} et al., Appl. Math. Comput. 402, Article ID 126091, 15 p. (2021; Zbl 1510.65202) Full Text: DOI
Qu, Wei; Li, Zhi Fast direct solver for CN-ADI-FV scheme to two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1508.65114 Appl. Math. Comput. 401, Article ID 126033, 19 p. (2021). MSC: 65M08 35P15 65M22 65Y20 PDFBibTeX XMLCite \textit{W. Qu} and \textit{Z. Li}, Appl. Math. Comput. 401, Article ID 126033, 19 p. (2021; Zbl 1508.65114) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. (English) Zbl 1481.65150 Appl. Math. Modelling 100, 107-124 (2021). MSC: 65M06 35R11 65M12 80A19 PDFBibTeX XMLCite \textit{O. Nikan} et al., Appl. Math. Modelling 100, 107--124 (2021; Zbl 1481.65150) Full Text: DOI
Zhang, Hong; Yan, Jingye; Qian, Xu; Gu, Xianming; Song, Songhe On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. (English) Zbl 1489.65105 Numer. Algorithms 88, No. 3, 1309-1336 (2021). MSC: 65L06 65M12 35B50 35K61 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Algorithms 88, No. 3, 1309--1336 (2021; Zbl 1489.65105) Full Text: DOI
Delkhosh, Mehdi; Parand, Kourosh A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. (English) Zbl 1501.65079 Numer. Algorithms 88, No. 2, 729-766 (2021). MSC: 65M70 65M12 65M15 58C40 35S10 26A33 35R11 PDFBibTeX XMLCite \textit{M. Delkhosh} and \textit{K. Parand}, Numer. Algorithms 88, No. 2, 729--766 (2021; Zbl 1501.65079) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Ostermann, Alexander; Gu, Xian-Ming; Zhao, Yong-Liang Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations. (English) Zbl 1500.65042 J. Sci. Comput. 89, No. 1, Paper No. 13, 29 p. (2021). MSC: 65M06 65F10 65L12 65M50 26A33 35R11 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., J. Sci. Comput. 89, No. 1, Paper No. 13, 29 p. (2021; Zbl 1500.65042) Full Text: DOI
Shao, Xin-Hui; Li, Yu-Han; Shen, Hai-Long Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1500.65047 J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021). MSC: 65M06 65N06 15B05 15A18 65F08 65F10 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021; Zbl 1500.65047) Full Text: DOI
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168 BIT 61, No. 3, 1061-1092 (2021). MSC: 65M06 65M12 65N06 65F08 65F10 65H10 15B05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., BIT 61, No. 3, 1061--1092 (2021; Zbl 1481.65168) Full Text: DOI arXiv
Patel, Vijay Kumar; Bahuguna, Dhirendra An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative. (English) Zbl 1486.65173 Appl. Numer. Math. 169, 1-20 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 65M60 65T60 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{V. K. Patel} and \textit{D. Bahuguna}, Appl. Numer. Math. 169, 1--20 (2021; Zbl 1486.65173) Full Text: DOI
Chen, Xu; Ding, Deng; Lei, Siu-Long; Wang, Wenfei An implicit-explicit preconditioned direct method for pricing options under regime-switching tempered fractional partial differential models. (English) Zbl 1476.65167 Numer. Algorithms 87, No. 3, 939-965 (2021). MSC: 91G60 65M06 65F05 65F08 65M12 15B05 91G20 35R11 35Q91 PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Algorithms 87, No. 3, 939--965 (2021; Zbl 1476.65167) Full Text: DOI
Lin, Fu-Rong; She, Zi-Hang Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients. (English) Zbl 1481.65144 Appl. Numer. Math. 167, 281-307 (2021). MSC: 65M06 65M12 65B05 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} and \textit{Z.-H. She}, Appl. Numer. Math. 167, 281--307 (2021; Zbl 1481.65144) Full Text: DOI
Wang, Zhibo; Liang, Yuxiang; Mo, Yan A novel high order compact ADI scheme for two dimensional fractional integro-differential equations. (English) Zbl 1476.65194 Appl. Numer. Math. 167, 257-272 (2021). MSC: 65M06 65N06 65M12 35R09 45J05 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Wang} et al., Appl. Numer. Math. 167, 257--272 (2021; Zbl 1476.65194) Full Text: DOI
Chen, Minghua; Yu, Fan; Zhou, Zhi Backward difference formulae: the energy technique for subdiffusion equation. (English) Zbl 1476.65166 J. Sci. Comput. 87, No. 3, Paper No. 94, 22 p. (2021). MSC: 65M06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Sci. Comput. 87, No. 3, Paper No. 94, 22 p. (2021; Zbl 1476.65166) Full Text: DOI arXiv
Lin, Fu-Rong; Wang, Qiu-Ya; Jin, Xiao-Qing Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations. (English) Zbl 1473.65112 Numer. Algorithms 87, No. 2, 601-631 (2021). MSC: 65M06 65N06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} et al., Numer. Algorithms 87, No. 2, 601--631 (2021; Zbl 1473.65112) Full Text: DOI
She, Zi-Hang; Lao, Cheng-Xue; Yang, Hong; Lin, Fu-Rong Banded preconditioners for Riesz space fractional diffusion equations. (English) Zbl 1475.65079 J. Sci. Comput. 86, No. 3, Paper No. 31, 22 p. (2021). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65N06 35R11 26A33 65F08 65F10 65F35 15B05 34A08 PDFBibTeX XMLCite \textit{Z.-H. She} et al., J. Sci. Comput. 86, No. 3, Paper No. 31, 22 p. (2021; Zbl 1475.65079) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. (English) Zbl 1524.65356 Comput. Math. Appl. 94, 136-154 (2021). MSC: 65M06 35R11 65M12 65F10 65F35 26A33 65N06 15B05 65F08 15A18 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Comput. Math. Appl. 94, 136--154 (2021; Zbl 1524.65356) Full Text: DOI arXiv
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. (English) Zbl 1471.65102 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021). MSC: 65M06 65M12 65T50 65F08 65F10 35L05 35R11 PDFBibTeX XMLCite \textit{D. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021; Zbl 1471.65102) Full Text: DOI
Chen, Hao; Sun, Hai-Wei A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. (English) Zbl 1466.65099 J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65N06 65F10 65F15 65L05 65F60 65M15 15B05 35Q53 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021; Zbl 1466.65099) Full Text: DOI
Pang, Hong-Kui; Qin, Hai-Hua; Sun, Hai-Wei; Ma, Ting-Ting Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations. (English) Zbl 1524.65124 Comput. Math. Appl. 85, 18-29 (2021). MSC: 65F08 35R11 65F10 65M06 65M22 PDFBibTeX XMLCite \textit{H.-K. Pang} et al., Comput. Math. Appl. 85, 18--29 (2021; Zbl 1524.65124) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. (English) Zbl 1471.65144 Appl. Numer. Math. 163, 15-29 (2021). MSC: 65M60 65M06 65N30 65F08 65F10 15B05 15A69 35R11 PDFBibTeX XMLCite \textit{J. Jia} et al., Appl. Numer. Math. 163, 15--29 (2021; Zbl 1471.65144) Full Text: DOI
Lin, Fu-Rong; Qiu, Yi-Feng; She, Zi-Hang IRK-WSGD methods for space fractional diffusion equations. (English) Zbl 1466.65068 Appl. Numer. Math. 164, 222-244 (2021). MSC: 65M06 65M12 65L06 65M20 65F08 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} et al., Appl. Numer. Math. 164, 222--244 (2021; Zbl 1466.65068) Full Text: DOI
Lu, Kang-Ya; Xie, Dong-Xiu; Chen, Fang; Muratova, Galina V. Dominant Hermitian splitting iteration method for discrete space-fractional diffusion equations. (English) Zbl 1460.65035 Appl. Numer. Math. 164, 15-28 (2021). MSC: 65F10 65F08 35R11 65M06 65M22 PDFBibTeX XMLCite \textit{K.-Y. Lu} et al., Appl. Numer. Math. 164, 15--28 (2021; Zbl 1460.65035) Full Text: DOI
Liu, Jun; Zhu, Chen; Chen, Yanping; Fu, Hongfei A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. (English) Zbl 1462.65162 Appl. Numer. Math. 160, 331-348 (2021). MSC: 65M70 65M06 65N35 65D07 65M12 35R11 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Numer. Math. 160, 331--348 (2021; Zbl 1462.65162) Full Text: DOI
Zhang, Qifeng; Zhang, Lu; Sun, Hai-wei A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1462.65119 J. Comput. Appl. Math. 389, Article ID 113355, 20 p. (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 65N06 65M12 65T50 65F08 65F10 15B05 35R11 35Q56 PDFBibTeX XMLCite \textit{Q. Zhang} et al., J. Comput. Appl. Math. 389, Article ID 113355, 20 p. (2021; Zbl 1462.65119) Full Text: DOI
Ding, Hengfei The development of higher-order numerical differential formulas of Caputo derivative and their applications (I). (English) Zbl 1524.65333 Comput. Math. Appl. 84, 203-223 (2021). MSC: 65M06 65M12 35R11 26A33 45K05 65N06 35R09 PDFBibTeX XMLCite \textit{H. Ding}, Comput. Math. Appl. 84, 203--223 (2021; Zbl 1524.65333) Full Text: DOI
Sun, Hong; Sun, Zhi-zhong A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. (English) Zbl 1461.65231 Numer. Algorithms 86, No. 2, 761-797 (2021). MSC: 65M06 65M12 35R11 35A02 35L05 PDFBibTeX XMLCite \textit{H. Sun} and \textit{Z.-z. Sun}, Numer. Algorithms 86, No. 2, 761--797 (2021; Zbl 1461.65231) Full Text: DOI
Pearson, John W.; Pestana, Jennifer Preconditioners for Krylov subspace methods: an overview. (English) Zbl 07784224 GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020). MSC: 65Fxx 65Nxx 35Jxx PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{J. Pestana}, GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020; Zbl 07784224) Full Text: DOI OA License
An, Xingyu; Liu, Fawang; Chen, Shanzhen; Anh, Vo V. Novel numerical techniques for the finite moment log stable computational model for European call option. (English) Zbl 07777659 Numer. Methods Partial Differ. Equations 36, No. 6, 1537-1554 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. An} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1537--1554 (2020; Zbl 07777659) Full Text: DOI
Ding, Hengfei; Li, Changpin Numerical algorithms for the time-Caputo and space-Riesz fractional Bloch-Torrey equations. (English) Zbl 07771414 Numer. Methods Partial Differ. Equations 36, No. 4, 772-799 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Ding} and \textit{C. Li}, Numer. Methods Partial Differ. Equations 36, No. 4, 772--799 (2020; Zbl 07771414) Full Text: DOI
Lyu, Pin; Vong, Seakweng A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin-Bona-Mahony-type equation with nonsmooth solutions. (English) Zbl 07771404 Numer. Methods Partial Differ. Equations 36, No. 3, 579-600 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, Numer. Methods Partial Differ. Equations 36, No. 3, 579--600 (2020; Zbl 07771404) Full Text: DOI
Xu, Da; Qiu, Wenlin; Guo, Jing A compact finite difference scheme for the fourth-order time-fractional integro-differential equation with a weakly singular kernel. (English) Zbl 07771398 Numer. Methods Partial Differ. Equations 36, No. 2, 439-458 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Xu} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 439--458 (2020; Zbl 07771398) Full Text: DOI
Fang, Zhi-Wei; Sun, Hai-Wei; Wei, Hui-Qin An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients. (English) Zbl 07475941 Int. J. Comput. Math. 97, No. 3, 523-545 (2020). MSC: 65-XX 35R05 65F08 65F10 65M06 PDFBibTeX XMLCite \textit{Z.-W. Fang} et al., Int. J. Comput. Math. 97, No. 3, 523--545 (2020; Zbl 07475941) Full Text: DOI
Chen, Hao; Huang, Qiuyue Kronecker product based preconditioners for boundary value method discretizations of space fractional diffusion equations. (English) Zbl 1510.65188 Math. Comput. Simul. 170, 316-331 (2020). MSC: 65M06 65F08 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Q. Huang}, Math. Comput. Simul. 170, 316--331 (2020; Zbl 1510.65188) Full Text: DOI
Bai, Zhong-Zhi; Lu, Kang-Ya Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. (English) Zbl 1453.65062 J. Comput. Phys. 404, Article ID 109117, 13 p. (2020). MSC: 65F08 15B05 35R11 65M06 65M22 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{K.-Y. Lu}, J. Comput. Phys. 404, Article ID 109117, 13 p. (2020; Zbl 1453.65062) Full Text: DOI
Chen, Minghua; Ekström, Sven-Erik; Serra-Capizzano, Stefano A multigrid method for nonlocal problems: non-diagonally dominant or Toeplitz-plus-tridiagonal systems. (English) Zbl 1461.65236 SIAM J. Matrix Anal. Appl. 41, No. 4, 1546-1570 (2020). MSC: 65M55 26A33 65T50 65F05 15B05 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Matrix Anal. Appl. 41, No. 4, 1546--1570 (2020; Zbl 1461.65236) Full Text: DOI arXiv
Pougkakiotis, Spyridon; Pearson, John W.; Leveque, Santolo; Gondzio, Jacek Fast solution methods for convex quadratic optimization of fractional differential equations. (English) Zbl 1458.65026 SIAM J. Matrix Anal. Appl. 41, No. 3, 1443-1476 (2020). MSC: 65F08 65F10 65M22 35R11 PDFBibTeX XMLCite \textit{S. Pougkakiotis} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1443--1476 (2020; Zbl 1458.65026) Full Text: DOI arXiv
Jia, Jinhong; Zheng, Xiangcheng; Fu, Hongfei; Dai, Pingfei; Wang, Hong A fast method for variable-order space-fractional diffusion equations. (English) Zbl 1456.65132 Numer. Algorithms 85, No. 4, 1519-1540 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{J. Jia} et al., Numer. Algorithms 85, No. 4, 1519--1540 (2020; Zbl 1456.65132) Full Text: DOI arXiv
Shao, Xin-Hui; Zhang, Zhen-Duo; Shen, Hai-Long A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1443.65140 Comput. Math. Appl. 79, No. 6, 1845-1856 (2020). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., Comput. Math. Appl. 79, No. 6, 1845--1856 (2020; Zbl 1443.65140) Full Text: DOI
Chen, Xu; Ding, Deng; Lei, Siu-Long; Wang, Wenfei A fast preconditioned iterative method for two-dimensional options pricing under fractional differential models. (English) Zbl 1448.65096 Comput. Math. Appl. 79, No. 2, 440-456 (2020). MSC: 65M06 65F08 35R11 91G30 91G15 PDFBibTeX XMLCite \textit{X. Chen} et al., Comput. Math. Appl. 79, No. 2, 440--456 (2020; Zbl 1448.65096) Full Text: DOI
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. (English) Zbl 1446.65145 Comput. Math. Appl. 80, No. 1, 31-42 (2020). MSC: 65N06 65M06 65M12 65F10 65F08 35R11 26A33 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Math. Appl. 80, No. 1, 31--42 (2020; Zbl 1446.65145) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Yong-Liang Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation. (English) Zbl 1442.65164 Appl. Numer. Math. 156, 346-363 (2020). MSC: 65M06 65L05 26A33 35R11 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Appl. Numer. Math. 156, 346--363 (2020; Zbl 1442.65164) Full Text: DOI
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1442.65340 J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020). MSC: 65N22 65L06 65F15 65F08 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020; Zbl 1442.65340) Full Text: DOI
Huang, Yating; Yin, Zhe The compact finite difference method of two-dimensional Cattaneo model. (English) Zbl 1442.65161 J. Funct. Spaces 2020, Article ID 6301757, 12 p. (2020). MSC: 65M06 65M12 80A10 35L05 80A21 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Z. Yin}, J. Funct. Spaces 2020, Article ID 6301757, 12 p. (2020; Zbl 1442.65161) Full Text: DOI
Li, Meng; Huang, Chengming; Zhao, Yongliang Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65168 Numer. Algorithms 84, No. 3, 1081-1119 (2020). MSC: 65M06 65N30 65M12 65F10 65F08 65T50 15B05 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 84, No. 3, 1081--1119 (2020; Zbl 1442.65168) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations. (English) Zbl 1437.65100 J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020). MSC: 65M06 65M20 65Y20 65F10 65F08 65F15 15B05 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020; Zbl 1437.65100) Full Text: DOI
Chen, Hao; Xu, Dongping Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations. (English) Zbl 1436.65165 Numer. Algorithms 83, No. 4, 1349-1372 (2020). MSC: 65N22 65N06 65L06 65F08 65F10 15A18 26A33 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{D. Xu}, Numer. Algorithms 83, No. 4, 1349--1372 (2020; Zbl 1436.65165) Full Text: DOI
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135 J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020). MSC: 65M06 65H10 65F08 65F10 15B05 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020; Zbl 1435.65135) Full Text: DOI arXiv
Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. (English) Zbl 1463.65233 Commun. Appl. Math. Comput. 2, No. 2, 215-239 (2020). MSC: 65M06 35R11 65M12 65F08 15B05 65F10 65F35 PDFBibTeX XMLCite \textit{X.-L. Lin} et al., Commun. Appl. Math. Comput. 2, No. 2, 215--239 (2020; Zbl 1463.65233) Full Text: DOI arXiv
Dai, Pingfei; Wu, Qingbiao; Wang, Hong; Zheng, Xiangcheng An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. (English) Zbl 1434.65110 J. Comput. Appl. Math. 371, Article ID 112673, 16 p. (2020). MSC: 65M06 35R11 65F08 65F10 15A18 PDFBibTeX XMLCite \textit{P. Dai} et al., J. Comput. Appl. Math. 371, Article ID 112673, 16 p. (2020; Zbl 1434.65110) Full Text: DOI
Lu, Kang-Ya; Miao, Cun-Qiang Fast modified scaled HSS preconditioner for steady-state space-fractional diffusion equations. (English) Zbl 1464.65167 Appl. Math. Lett. 101, Article ID 106068, 6 p. (2020). MSC: 65N22 65N12 65F08 65F10 35R11 PDFBibTeX XMLCite \textit{K.-Y. Lu} and \textit{C.-Q. Miao}, Appl. Math. Lett. 101, Article ID 106068, 6 p. (2020; Zbl 1464.65167) Full Text: DOI
Wang, Zeng-Qi; Yin, Jun-Feng; Dou, Quan-Yu Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations. (English) Zbl 1435.65054 J. Comput. Appl. Math. 367, Article ID 112420, 13 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65F10 65F08 35Q55 35R11 PDFBibTeX XMLCite \textit{Z.-Q. Wang} et al., J. Comput. Appl. Math. 367, Article ID 112420, 13 p. (2020; Zbl 1435.65054) Full Text: DOI
Lin, Fu-Rong; Liu, Wei-Dong The accuracy and stability of CN-WSGD schemes for space fractional diffusion equation. (English) Zbl 1503.65176 J. Comput. Appl. Math. 363, 77-91 (2020). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{F.-R. Lin} and \textit{W.-D. Liu}, J. Comput. Appl. Math. 363, 77--91 (2020; Zbl 1503.65176) Full Text: DOI
Zhu, Mu-Zheng; Zhang, Guo-Feng; Qi, Ya-E On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations. (English) Zbl 1487.65126 Adv. Difference Equ. 2019, Paper No. 422, 14 p. (2019). MSC: 65M06 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{M.-Z. Zhu} et al., Adv. Difference Equ. 2019, Paper No. 422, 14 p. (2019; Zbl 1487.65126) Full Text: DOI
Jian, Huanyan; Huang, Tingzhu; Zhao, Xile; Zhao, Yongliang Fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations. (English) Zbl 1468.65175 J. Appl. Anal. Comput. 9, No. 4, 1359-1392 (2019). MSC: 65N06 65N12 65F08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{H. Jian} et al., J. Appl. Anal. Comput. 9, No. 4, 1359--1392 (2019; Zbl 1468.65175) Full Text: DOI arXiv
Yue, Xiaoqiang; Shu, Shi; Xu, Xiaowen; Bu, Weiping; Pan, Kejia Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations. (English) Zbl 1443.65231 Comput. Math. Appl. 78, No. 11, 3471-3484 (2019). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{X. Yue} et al., Comput. Math. Appl. 78, No. 11, 3471--3484 (2019; Zbl 1443.65231) Full Text: DOI
Lin, Xue-Lei; Ng, Michael K. A fast solver for multidimensional time-space fractional diffusion equation with variable coefficients. (English) Zbl 1442.65169 Comput. Math. Appl. 78, No. 5, 1477-1489 (2019). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{X.-L. Lin} and \textit{M. K. Ng}, Comput. Math. Appl. 78, No. 5, 1477--1489 (2019; Zbl 1442.65169) Full Text: DOI
Li, Hui; Jiang, Wei; Li, Wenya Space-time spectral method for the Cattaneo equation with time fractional derivative. (English) Zbl 1429.65246 Appl. Math. Comput. 349, 325-336 (2019). MSC: 65M70 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Math. Comput. 349, 325--336 (2019; Zbl 1429.65246) Full Text: DOI