A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator. - Meng Li 025; Yong-Liang Zhao (Appl. Math. Comput., 2018)

A fast second-order implicit scheme for non-linear time-space fractional diffusion equation with time delay and drift term. - Yong-Liang Zhao; Pei-Yong Zhu; Wei-Hua Luo (Appl. Math. Comput., 2018)

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)

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)

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)

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 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)

Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. - Meng Li 025; Chengming Huang; Yong-Liang Zhao (Numer. Algorithms, 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 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)

Symplectic All-at-Once Method for Hamiltonian Systems. - Bei-Bei Zhu; Yong-Liang Zhao (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)

Fast L2-1σ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives. - Meng Li 025; Yifan Wei 002; Binqian Niu; Yong-Liang Zhao (Appl. Math. Comput., 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)

A low-rank algorithm for strongly damped wave equations with visco-elastic damping and mass terms. - Yong-Liang Zhao (CoRR, 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)

Full-rank and low-rank splitting methods for the Swift-Hohenberg equation. - Yong-Liang Zhao; Meng Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

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)

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)

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)

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)

Splitting-based randomised dynamical low-rank approximations for stiff matrix differential equations. - Zi Wu; Yong-Liang Zhao (CoRR, 2025)

A direct PinT algorithm for higher-order nonlinear equations. - Shun-Zhi Zhong; Yong-Liang Zhao (CoRR, 2025)

A second-order generalized BDF method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piskunov equation. - Lei Ge; Yong-Liang Zhao (CoRR, 2025)