A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations. - Qifeng Zhang 001; Chengjian Zhang (Appl. Math. Lett., 2013)

A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. - Qifeng Zhang 001; Chengjian Zhang (Commun. Nonlinear Sci. Numer. Simul., 2013)

Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. - Qifeng Zhang 001; Chengjian Zhang; Dingwen Deng (Int. J. Comput. Math., 2014)

The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. - Qifeng Zhang 001; Chengjian Zhang; Li Wang 036 (J. Comput. Appl. Math., 2016)

Compact θ-method for the generalized delay diffusion equation. - Qifeng Zhang 001; Mengzhe Chen; Yinghong Xu; Dinghua Xu (Appl. Math. Comput., 2018)

Multiple parameter determination in textile material design: A Bayesian inference approach based on simulation. - Dinghua Xu; Yangao He; Yue Yu; Qifeng Zhang 001 (Math. Comput. Simul., 2018)

The continuous Galerkin finite element methods for linear neutral delay differential equations. - Hongyu Qin; Qifeng Zhang 001; Shaohua Wan 001 (Appl. Math. Comput., 2019)

Asymptotic Stability of Compact and Linear θ -Methods for Space Fractional Delay Generalized Diffusion Equation. - Qifeng Zhang 001; Tingyue Li (J. Sci. Comput., 2019)

Exponential Runge-Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg-Landau Equations. - Lu Zhang; Qifeng Zhang 001; Hai-Wei Sun (J. Sci. Comput., 2020)

The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation. - Xuping Wang; Qifeng Zhang 001; Zhi-Zhong Sun (Adv. Comput. Math., 2021)

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. - Qifeng Zhang 001; Jan S. Hesthaven; Zhi-Zhong Sun; Yunzhu Ren (Adv. Comput. Math., 2021)

The study of exact and numerical solutions of the generalized viscous Burgers' equation. - Qifeng Zhang 001; Yifan Qin; Xuping Wang; Zhi-Zhong Sun (Appl. Math. Lett., 2021)

A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. - Qifeng Zhang 001; Lu Zhang; Hai-Wei Sun (J. Comput. Appl. Math., 2021)

Convergence and Stability in Maximum Norms of Linearized Fourth-Order Conservative Compact Scheme for Benjamin-Bona-Mahony-Burgers' Equation. - Qifeng Zhang 001; Lingling Liu (J. Sci. Comput., 2021)

Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation. - Qifeng Zhang 001; Cuicui Sun; Zhi-Wei Fang; Hai-Wei Sun (Appl. Math. Comput., 2022)

Optimal convergence rate of the explicit Euler method for convection-diffusion equations. - Qifeng Zhang 001; Jiyuan Zhang 010; Zhi-Zhong Sun (Appl. Math. Lett., 2022)

Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases. - Qifeng Zhang 001; Jiyuan Zhang 010; Zhi-Zhong Sun (CoRR, 2022)

Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity. - Qifeng Zhang 001; Yifan Qin; Zhi-Zhong Sun (Numer. Algorithms, 2022)

Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa-Holm System. - Qifeng Zhang 001; Lingling Liu; Zhimin Zhang (SIAM J. Sci. Comput., 2022)

Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data. - Tong Yan; Jiwei Zhang 002; Qifeng Zhang 001 (CoRR, 2023)

Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy. - Qifeng Zhang 001; Jiyuan Zhang 010; Zhimin Zhang (CoRR, 2023)

The energy method for high-order invariants in shallow water wave equations. - Qifeng Zhang 001; Tong Yan; Guang-hua Gao (Appl. Math. Lett., 2023)

Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. - Lu Zhang; Qifeng Zhang 001; Hai-Wei Sun (Comput. Math. Appl., 2023)

Error estimates of compact and hybrid Richardson schemes for the parabolic equation. - Qifeng Zhang 001 (Appl. Math. Lett., 2024)

Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa-Holm system with peakon solitons. - Qifeng Zhang 001; Tong Yan; Dinghua Xu; Yong Chen (Comput. Phys. Commun., 2024)

Error estimates and parallel evaluation of hybrid schemes for parabolic, wave, and Schrödinger equations. - Wenzhuo Xiong; Xiujun Cheng; Qifeng Zhang 001 (J. Comput. Appl. Math., 2025)

Unconditionally convergence of a linearly implicit and structure-preserving scheme for the Schrödinger-Helmholtz equation. - Hongyu Qin; Qifeng Zhang 001; Wei Gu (Commun. Nonlinear Sci. Numer. Simul., 2026)

High-order structure-preserving implicit-explicit Runge-Kutta methods with Lagrange multiplier approach for conservative nonlinear evolution equations. - Lianpeng Xue; Wansheng Wang; Qifeng Zhang 001 (Commun. Nonlinear Sci. Numer. Simul., 2026)