Zhao, Yong-Liang; Gu, Xian-Ming; Li, Hu A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel. (English) Zbl 07750291 Comput. Math. Appl. 148, 200-210 (2023). MSC: 65-XX 35R11 65M06 65M12 26A33 65F08 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., Comput. Math. Appl. 148, 200--210 (2023; Zbl 07750291) Full Text: DOI
Wu, Jing; Gu, Xian-Ming; Zhao, Yong-Liang; Huang, Yu-Yun; Carpentieri, Bruno A note on the structured perturbation analysis for the inversion formula of Toeplitz matrices. (English) Zbl 1506.15031 Japan J. Ind. Appl. Math. 40, No. 1, 645-663 (2023). MSC: 15B05 15A09 47A55 65G50 65F20 PDFBibTeX XMLCite \textit{J. Wu} et al., Japan J. Ind. Appl. Math. 40, No. 1, 645--663 (2023; Zbl 1506.15031) Full Text: DOI
Jin, Yu; Wen, Chun; Shen, Zhao-Li; Gu, Xian-Ming A simpler GMRES algorithm accelerated by Chebyshev polynomials for computing PageRank. (English) Zbl 1489.65058 J. Comput. Appl. Math. 413, Article ID 114395, 16 p. (2022). MSC: 65F15 PDFBibTeX XMLCite \textit{Y. Jin} et al., J. Comput. Appl. Math. 413, Article ID 114395, 16 p. (2022; Zbl 1489.65058) 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
Zhao, Yong-Liang; Gu, Xian-Ming; Li, Meng; Jian, Huan-Yan Preconditioners for all-at-once system from the fractional mobile/immobile advection-diffusion model. (English) Zbl 1475.65049 J. Appl. Math. Comput. 65, No. 1-2, 669-691 (2021). MSC: 65L05 65N22 65F10 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Appl. Math. Comput. 65, No. 1--2, 669--691 (2021; Zbl 1475.65049) 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
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
Zhao, Yong-Liang; Gu, Xian-Ming; Ostermann, Alexander A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps. (English) Zbl 1468.76055 J. Sci. Comput. 88, No. 1, Paper No. 11, 22 p. (2021). MSC: 76M99 76R50 65F08 65Y05 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 88, No. 1, Paper No. 11, 22 p. (2021; Zbl 1468.76055) Full Text: DOI arXiv
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
Gu, Xian-Ming; Zhao, Yanpu; Huang, Tingzhu; Zhao, Ran Efficient preconditioned iterative linear solvers for 3-D magnetostatic problems using edge elements. (English) Zbl 1488.65070 Adv. Appl. Math. Mech. 12, No. 2, 301-318 (2020). MSC: 65F10 65F08 65N30 78A30 78M10 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Adv. Appl. Math. Mech. 12, No. 2, 301--318 (2020; Zbl 1488.65070) 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
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Imakura, Akira; Zhang, Ke; Du, Lei Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously. (English) Zbl 1434.65027 J. Comput. Appl. Math. 375, Article ID 112788, 16 p. (2020). MSC: 65F10 65F08 65N22 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 375, Article ID 112788, 16 p. (2020; Zbl 1434.65027) Full Text: DOI arXiv
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
Zhao, Yong-Liang; Huang, Ting-Zhu; Gu, Xian-Ming; Luo, Wei-Hua A fast second-order implicit difference method for time-space fractional advection-diffusion equation. (English) Zbl 07150134 Numer. Funct. Anal. Optim. 41, No. 3, 257-293 (2020). MSC: 65-XX 76-XX 70-XX PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., Numer. Funct. Anal. Optim. 41, No. 3, 257--293 (2020; Zbl 07150134) Full Text: DOI arXiv
Zhong, Hong-Xiu; Gu, Xian-Ming A flexible and adaptive simpler GMRES with deflated restarting for shifted linear systems. (English) Zbl 1442.65052 Comput. Math. Appl. 78, No. 3, 997-1007 (2019). MSC: 65F10 PDFBibTeX XMLCite \textit{H.-X. Zhong} and \textit{X.-M. Gu}, Comput. Math. Appl. 78, No. 3, 997--1007 (2019; Zbl 1442.65052) Full Text: DOI arXiv
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Cao, Jianxiong A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation. (English) Zbl 1418.65078 J. Comput. Appl. Math. 362, 99-115 (2019). MSC: 65L05 65N22 65F10 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Comput. Appl. Math. 362, 99--115 (2019; Zbl 1418.65078) Full Text: DOI arXiv
Shen, Zhao-Li; Huang, Ting-Zhu; Carpentieri, Bruno; Wen, Chun; Gu, Xian-Ming; Tan, Xue-Yuan Off-diagonal low-rank preconditioner for difficult PageRank problems. (English) Zbl 1402.65028 J. Comput. Appl. Math. 346, 456-470 (2019). MSC: 65F15 65F10 68P10 PDFBibTeX XMLCite \textit{Z.-L. Shen} et al., J. Comput. Appl. Math. 346, 456--470 (2019; Zbl 1402.65028) Full Text: DOI Link
Wen, Chun; Huang, Ting-Zhu; Gu, Xian-Ming; Shen, Zhao-Li; Zhang, Hong-Fan; Liu, Chen Multipreconditioned GMRES for simulating stochastic automata networks. (English) Zbl 1411.90077 Open Math. 16, 986-998 (2018). MSC: 90B15 65K05 65F10 PDFBibTeX XMLCite \textit{C. Wen} et al., Open Math. 16, 986--998 (2018; Zbl 1411.90077) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Li, Hou-Biao; Wang, Sheng-Feng; Li, Liang Two CSCS-based iteration methods for solving absolute value equations. (English) Zbl 1451.65058 J. Appl. Anal. Comput. 7, No. 4, 1336-1356 (2017). MSC: 65F99 15B05 65F10 65H10 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Appl. Anal. Comput. 7, No. 4, 1336--1356 (2017; Zbl 1451.65058) Full Text: DOI arXiv
Shen, Zhao-Li; Huang, Ting-Zhu; Carpentieri, Bruno; Gu, Xian-Ming; Wen, Chun An efficient elimination strategy for solving PageRank problems. (English) Zbl 1411.65053 Appl. Math. Comput. 298, 111-122 (2017). MSC: 65F10 65C40 65F50 PDFBibTeX XMLCite \textit{Z.-L. Shen} et al., Appl. Math. Comput. 298, 111--122 (2017; Zbl 1411.65053) Full Text: DOI
Luo, Wei-Hua; Huang, Ting-Zhu; Li, Liang; Li, Hou-Biao; Gu, Xian-Ming Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions. (English) Zbl 1365.65266 Japan J. Ind. Appl. Math. 33, No. 3, 701-720 (2016). MSC: 65N35 35J05 65F05 PDFBibTeX XMLCite \textit{W.-H. Luo} et al., Japan J. Ind. Appl. Math. 33, No. 3, 701--720 (2016; Zbl 1365.65266) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems. (English) Zbl 1336.65040 J. Comput. Appl. Math. 305, 115-128 (2016). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 305, 115--128 (2016; Zbl 1336.65040) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Li, Liang; Wen, Chun A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. (English) Zbl 1443.65042 Comput. Math. Appl. 70, No. 12, 3019-3031 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Math. Appl. 70, No. 12, 3019--3031 (2015; Zbl 1443.65042) Full Text: DOI
Gu, Xian-Ming; Clemens, Markus; Huang, Ting-Zhu; Li, Liang The CBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems. (English) Zbl 1344.65041 Comput. Phys. Commun. 191, 52-64 (2015). MSC: 65F10 78M10 78M12 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Phys. Commun. 191, 52--64 (2015; Zbl 1344.65041) Full Text: DOI
Bai, Yu-Qin; Huang, Ting-Zhu; Gu, Xian-Ming Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings. (English) Zbl 1325.65120 Appl. Math. Lett. 48, 14-22 (2015). MSC: 65M06 35R11 65F08 65F10 65M22 PDFBibTeX XMLCite \textit{Y.-Q. Bai} et al., Appl. Math. Lett. 48, 14--22 (2015; Zbl 1325.65120) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Li, Hou-Biao; Li, Liang; Luo, Wei-Hua On \(k\)-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations. (English) Zbl 1326.65120 Appl. Math. Lett. 42, 53-58 (2015). MSC: 65M22 35R11 65M06 65T50 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Appl. Math. Lett. 42, 53--58 (2015; Zbl 1326.65120) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Xi-Le; Li, Hou-Biao; Li, Liang Strang-type preconditioners for solving fractional diffusion equations by boundary value methods. (English) Zbl 1302.65212 J. Comput. Appl. Math. 277, 73-86 (2015). MSC: 65M20 35K05 35R11 65M06 65L05 65F08 65F10 65M12 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 277, 73--86 (2015; Zbl 1302.65212) Full Text: DOI arXiv
Gu, Xian-Ming; Huang, Ting-Zhu; Meng, Jing; Sogabe, Tomohiro; Li, Hou-Biao; Li, Liang BiCR-type methods for families of shifted linear systems. (English) Zbl 1362.65039 Comput. Math. Appl. 68, No. 7, 746-758 (2014). MSC: 65F10 65M22 65Y20 65F50 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Math. Appl. 68, No. 7, 746--758 (2014; Zbl 1362.65039) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Xi-Le; Xu, Wei-Ru; Li, Hou-Biao; Li, Liang Circulant preconditioned iterative methods for peridynamic model simulation. (English) Zbl 1338.65284 Appl. Math. Comput. 248, 470-479 (2014). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Appl. Math. Comput. 248, 470--479 (2014; Zbl 1338.65284) Full Text: DOI