Circulant preconditioned iterative methods for peridynamic model simulation. - Xian-Ming Gu; Ting-Zhu Huang; Xi-Le Zhao; Wei-Ru Xu; Hou-Biao Li; Liang Li 001 (Appl. Math. Comput., 2014)

BiCR-type methods for families of shifted linear systems. - Xian-Ming Gu; Ting-Zhu Huang; Jing Meng; Tomohiro Sogabe; Hou-Biao Li; Liang Li 001 (Comput. Math. Appl., 2014)

Efficient preconditioner updates for unsymmetric shifted linear systems. - Wei-Hua Luo; Ting-Zhu Huang; Liang Li 001; Yong Zhang 048; Xian-Ming Gu (Comput. Math. Appl., 2014)

Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides. - Xian-Ming Gu; Bruno Carpentieri; Ting-Zhu Huang; Jing Meng (ENUMATH, 2015)

Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings. - Yu-Qin Bai; Ting-Zhu Huang; Xian-Ming Gu (Appl. Math. Lett., 2015)

On k-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations. - Xian-Ming Gu; Ting-Zhu Huang; Hou-Biao Li; Liang Li 001; Wei-Hua Luo (Appl. Math. Lett., 2015)

A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. - Xian-Ming Gu; Ting-Zhu Huang; Bruno Carpentieri; Liang Li 001; Chun Wen (Comput. Math. Appl., 2015)

The SCBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems. - Xian-Ming Gu; Markus Clemens; Ting-Zhu Huang; Liang Li 001 (Comput. Phys. Commun., 2015)

Strang-type preconditioners for solving fractional diffusion equations by boundary value methods. - Xian-Ming Gu; Ting-Zhu Huang; Xi-Le Zhao; Hou-Biao Li; Liang Li 001 (J. Comput. Appl. Math., 2015)

Quadratic spline collocation method for the time fractional subdiffusion equation. - Wei-Hua Luo; Ting-Zhu Huang; Guo-Cheng Wu 001; Xian-Ming Gu (Appl. Math. Comput., 2016)

BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems. - Xian-Ming Gu; Ting-Zhu Huang; Bruno Carpentieri (J. Comput. Appl. Math., 2016)

Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution. - Jinnan Luo; Wenhong Tian; Shouming Zhong; Kaibo Shi; Hao Chen 021; Xian-Ming Gu; Wenqin Wang (Appl. Math. Comput., 2017)

An efficient elimination strategy for solving PageRank problems. - Zhao-Li Shen; Ting-Zhu Huang; Bruno Carpentieri; Xian-Ming Gu; Chun Wen (Appl. Math. Comput., 2017)

Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations. - Wei-Hua Luo; Ting-Zhu Huang; Xian-Ming Gu; Yi Liu 005 (Appl. Math. Lett., 2017)

Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection-Diffusion Equation. - Xian-Ming Gu; Ting-Zhu Huang; Cui-Cui Ji; Bruno Carpentieri; Anatoly A. Alikhanov (J. Sci. Comput., 2017)

Block-accelerated aggregation multigrid for Markov chains with application to PageRank problems. - Zhao-Li Shen; Ting-Zhu Huang; Bruno Carpentieri; Chun Wen; Xian-Ming Gu (Commun. Nonlinear Sci. Numer. Simul., 2018)

Improved delay-probability-dependent results for stochastic neural networks with randomly occurring uncertainties and multiple delays. - Jinnan Luo; Wenhong Tian; Shouming Zhong; Kaibo Shi; Xian-Ming Gu; Wenqin Wang (Int. J. Syst. Sci., 2018)

Restarted Hessenberg method for solving shifted nonsymmetric linear systems. - Xian-Ming Gu; Ting-Zhu Huang; Guojian Yin; Bruno Carpentieri; Chun Wen; Lei Du (J. Comput. Appl. Math., 2018)

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations. - Meng Li 025; Xian-Ming Gu; Chengming Huang; Mingfa Fei; Guoyu Zhang (J. Comput. Phys., 2018)

The Weighted Arithmetic Mean-Geometric Mean Inequality is Equivalent to the Hölder Inequality. - Yongtao Li; Xian-Ming Gu; Jianxing Zhao (Symmetry, 2018)

A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems. - Hong-Xiu Zhong; Xian-Ming Gu (Comput. Math. Appl., 2019)

A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients. - Xian-Ming Gu; Ting-Zhu Huang; Yong-Liang Zhao; Pin Lyu; Bruno Carpentieri (CoRR, 2019)

Off-diagonal low-rank preconditioner for difficult PageRank problems. - Zhao-Li Shen; Ting-Zhu Huang; Bruno Carpentieri; Chun Wen; Xian-Ming Gu; Xue-Yuan Tan (J. Comput. Appl. Math., 2019)

A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation. - Yong-Liang Zhao; Pei-Yong Zhu; Xian-Ming Gu; Xi-Le Zhao; Jianxiong Cao (J. Comput. Appl. Math., 2019)

A Breakdown-Free Block COCG Method for Complex Symmetric Linear Systems with Multiple Right-Hand Sides. - Hong-Xiu Zhong; Xian-Ming Gu; Shao-Liang Zhang (Symmetry, 2019)

Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian. - Xian-Ming Gu; Hai-Wei Sun; Yanzhi Zhang; Yong-Liang Zhao (CoRR, 2020)

A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations. - Xian-Ming Gu; Yong-Liang Zhao; Xi-Le Zhao; Bruno Carpentieri; Yu-Yun Huang (CoRR, 2020)

A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps. - Yong-Liang Zhao; Xian-Ming Gu; Alexander Ostermann (CoRR, 2020)

An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. - Yong-Liang Zhao; Meng Li 025; Alexander Ostermann; Xian-Ming Gu (CoRR, 2020)

Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously. - Xian-Ming Gu; Ting-Zhu Huang; Bruno Carpentieri; Akira Imakura; Ke Zhang 003; Lei Du (J. Comput. Appl. Math., 2020)

Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations. - Huan-Yan Jian; Ting-Zhu Huang; Xian-Ming Gu; Xi-Le Zhao; Yong-Liang Zhao (J. Comput. Appl. Math., 2020)

A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel. - Xian-Ming Gu; Shu-Lin Wu (J. Comput. Phys., 2020)

A Preconditioning Technique for All-at-Once System from the Nonlinear Tempered Fractional Diffusion Equation. - Yong-Liang Zhao; Pei-Yong Zhu; Xian-Ming Gu; Xi-Le Zhao; Huan-Yan Jian (J. Sci. Comput., 2020)

Three-dimensional fractional total variation regularized tensor optimized model for image deblurring. - Lin Guo; Xi-Le Zhao; Xian-Ming Gu; Yong-Liang Zhao; Yu-Bang Zheng; Ting-Zhu Huang (Appl. Math. Comput., 2021)

Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. - Huan-Yan Jian; Ting-Zhu Huang; Alexander Ostermann; Xian-Ming Gu; Yong-Liang Zhao (Appl. Math. Comput., 2021)

An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. - Xian-Ming Gu; Hai-Wei Sun; Yong-Liang Zhao; Xiangcheng Zheng (Appl. Math. Lett., 2021)

Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. - Huan-Yan Jian; Ting-Zhu Huang; Xian-Ming Gu; Xi-Le Zhao; Yong-Liang Zhao (Comput. Math. Appl., 2021)

On the bilateral preconditioning for a L2-type all-at-once system arising from time-space fractional Bloch-Torrey equations. - Yong-Liang Zhao; Jing Wu; Xian-Ming Gu (CoRR, 2021)

A variant of the Power-Arnoldi algorithm for computing PageRank. - Qian-Ying Hu; Chun Wen; Ting-Zhu Huang; Zhao-Li Shen; Xian-Ming Gu (J. Comput. Appl. Math., 2021)

An adaptive Power-GArnoldi algorithm for computing PageRank. - Chun Wen; Qian-Ying Hu; Guojian Yin; Xian-Ming Gu; Zhao-Li Shen (J. Comput. Appl. Math., 2021)

A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. - Yong-Liang Zhao; Alexander Ostermann; Xian-Ming Gu (J. Comput. Phys., 2021)

Fast IIF-WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection-Diffusion-Reaction Equations. - Huan-Yan Jian; Ting-Zhu Huang; Alexander Ostermann; Xian-Ming Gu; Yong-Liang Zhao (J. Sci. Comput., 2021)

A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps. - Yong-Liang Zhao; Xian-Ming Gu; Alexander Ostermann (J. Sci. Comput., 2021)

A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation. - Wei-Hua Luo; Xian-Ming Gu; Liu Yang; Jing Meng (Math. Comput. Simul., 2021)

A Preconditioned Variant of the Refined Arnoldi Method for Computing PageRank Eigenvectors. - Zhao-Li Shen; Hao Yang; Bruno Carpentieri; Xian-Ming Gu; Chun Wen (Symmetry, 2021)

Anderson Acceleration of the Arnoldi-Inout Method for Computing PageRank. - Xia Tang; Chun Wen; Xian-Ming Gu; Zhao-Li Shen (Symmetry, 2021)

Preconditioners for all-at-once system from the fractional mobile/immobile advection-diffusion model. - Yong-Liang Zhao; Xian-Ming Gu; Meng Li 025; Huan-Yan Jian (J. Appl. Math. Comput., 2021)

A simpler GMRES algorithm accelerated by Chebyshev polynomials for computing PageRank. - Yu Jin; Chun Wen; Zhao-Li Shen; Xian-Ming Gu (J. Comput. Appl. Math., 2022)

A hybrid triangulation method for banded linear systems. - Wei-Hua Luo; Xian-Ming Gu; Bruno Carpentieri (Math. Comput. Simul., 2022)

A Hessenberg-type algorithm for computing PageRank Problems. - Xian-Ming Gu; Siu-Long Lei; Ke Zhang 003; Zhao-Li Shen; Chun Wen; Bruno Carpentieri (Numer. Algorithms, 2022)

A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black-Scholes model. - Jinfeng Zhou; Xian-Ming Gu; Jinye Shen; Yong-Liang Zhao; Hu Li (CoRR, 2023)

An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. - Jia-Fen Chen; Xian-Ming Gu; Liang Li 001; Ping Zhou (Entropy, 2023)

A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel. - Yong-Liang Zhao; Xian-Ming Gu; Hu Li (Comput. Math. Appl., 2023)

Learning Discriminative Text Representation for Streaming Social Event Detection. - Chaodong Tong; Huailiang Peng; Xu Bai; Qiong Dai; Ruitong Zhang; Yangyang Li; Hanjie Xu; Xian-Ming Gu (IEEE Trans. Knowl. Data Eng., 2023)

A note on the paper "A note on inversion of Toeplitz matrices" by X.-G. Lv and T.-Z. Huang. - Ting-Ting Feng; Xian-Ming Gu (Appl. Math. Lett., 2024)

Unconditionally convergent τ splitting iterative methods for variable coefficient Riesz space fractional diffusion equations. - Zi-Hang She; Yong-Qi Wen; Yi-Feng Qiu; Xian-Ming Gu (Appl. Math. Lett., 2024)

A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization. - Yong-Liang Zhao; Xian-Ming Gu; Cornelis W. Oosterlee (CoRR, 2024)

On τ-preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients. - Zi-Hang She; Xue Zhang; Xian-Ming Gu; Stefano Serra-Capizzano (CoRR, 2024)

Parallel-in-Time Iterative Methods for Pricing American Options. - Xian-Ming Gu; Jun Liu; Cornelis W. Oosterlee (CoRR, 2024)

A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black-Scholes model. - Jinfeng Zhou; Xian-Ming Gu; Yong-Liang Zhao; Hu Li (Int. J. Comput. Math., 2024)

An adaptive low-rank splitting approach for the extended Fisher-Kolmogorov equation. - Yong-Liang Zhao; Xian-Ming Gu (J. Comput. Phys., 2024)

On applying deflation and flexible preconditioning to the adaptive Simpler GMRES method for Sylvester tensor equations. - Azita Tajaddini; Farid Saberi-Movahed; Xian-Ming Gu; Mohammed Heyouni (J. Frankl. Inst., 2024)

Two fast and unconditionally stable finite difference methods for Riesz fractional diffusion equations with variable coefficients. - Xue Zhang; Xian-Ming Gu; Yong-Liang Zhao; Hu Li; Chuan-Yun Gu (Appl. Math. Comput., 2024)

Application of an extrapolation method in the Hessenberg algorithm for computing PageRank. - Qian-Ying Hu; Xian-Ming Gu; Chun Wen (J. Supercomput., 2024)

Upper triangulation-based infinity norm bounds for the inverse of Nekrasov matrices with applications. - Lei Gao; Xian-Ming Gu; Xiudan Jia; Chaoqian Li (Numer. Algorithms, 2024)

A fast implicit difference scheme with nonuniform discretized grids for the time-fractional Black-Scholes model. - Qi Xin; Xian-Ming Gu; Li-Bin Liu (Appl. Math. Comput., 2025)

A modified CMRH method for solving large nonsymmetric linear systems. - Qianqian Xue; Wenli Zeng; Xiaoqi Xu; Xian-Ming Gu (Appl. Math. Lett., 2025)

Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay. - Xue Zhang; Xian-Ming Gu; Yong-Liang Zhao (Commun. Nonlinear Sci. Numer. Simul., 2025)

A Bernoulli-Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs. - Wei-Hua Luo; Xian-Ming Gu; Bruno Carpentieri; Jun Guo (Numer. Linear Algebra Appl., 2025)

A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling. - Pu Yuan 003; Paul Zegeling; Xian-Ming Gu (CoRR, 2025)