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Hui Liang, Martin Stynes, A general collocation analysis for weakly singular Volterra integral equations with variable exponent, IMA Journal of Numerical Analysis, 2023, online.
Dakang Cen, Hui Liang, Seakweng Vong, Pointwise error estimates of L1 method for multisingularity problems arising from delay fractional equations, East Asian Journal on Applied Mathematics, 2023, accepted.
Lu Wang, Hui Liang, Superconvergence and Postprocessing of Collocation Methods for Fractional Differential Equations, Journal of Scientific Computing, online, 2023, 97, 29pp. 通讯作者，第一作者为博士研究生
Hui Liang, Jingtang Ma, Zhengguang Shi, Rough Heston models with variable vol-of-vol and option pricing, Annals of Applied Mathematics, 2023, 39(2), 206–238.
Yuping Li, Hui Liang, Continuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equations, Journal of Integral Equations and Applications, 2023, 35(1), 41-59. 通讯作者，第一作者为博士研究生
Wenping Yuan, Hui Liang, Yanping Chen, On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations, Mathematics and Computers in Simulation, 2023, 209, 102–117.通讯作者，第一作者为博士后
Hui Liang, Martin Stynes, Regularity of the solution of a nonlinear Volterra integral equation of the second kind, Discrete and Continuous Dynamical Systems-Series B, 2023, 28(3), 2211-2223.
Guihua Zhao, Hui Liang, Finite-Time Stability and Instability of Nonlinear Impulsive Systems, Advances in Applied Mathematics and Mechanics, 2023, 15(1), 49-68. 通讯作者
Hecong Gao, Hui Liang, Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type, Computational and Applied Mathematics, 2022, 41(6), Paper No. 291, 25 pp. 通讯作者，第一作者为博士研究生
Hui Liang, Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel, Applied Numerical Mathematics, 2022, 179, 170–182. 独立作者
Yuping Li, Zhanwen Yang, Hui Liang, Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations, Mathematics and Computers in Simulation, 2022, 199, 341–358. 通讯作者，第一作者为博士研究生
Hui Liang, On discontinuous and continuous approximations to second-kind Volterra integral equations, Numerical Mathematics: Theory, Methods and Applications, 2022, 15(1), 91-124. 独立作者
Haiyan Zhang, Hui Liang, Collocation methods for a class of integro-differential algebraic equations, International Journal of Numerical Analysis and Modeling, 2021, 18(6): 758-787. 通讯作者，第一作者为硕士研究生
Tingting Zhang, Hui Liang, Shijie Zhang, On the convergence of multistep collocation methods for integral-algebraic equations of index 1, Computational and Applied Mathematics, 2020, 39(4): No. 294, 15 pp.
Hui Liang, Hermann Brunner, The fine error estimation of collocation methods on uniform meshes for weakly singular Volterra integral equations, Journal of Scientific Computing, 2020, 84(1), No. 12, 22 pp.
Hui Liang, Hermann Brunner, Collocation methods for integro-differential algebraic equations with index-1, IMA Journal of Numerical Analysis, 2020, 40(2): 850–885.
Wei Zhang, Hui Liang, Jianfang Gao, Theoretical and numerical analysis of the Euler–Maruyama method for generalized stochastic Volterra integro-differential equations, Journal of Computational and Applied Mathematics, 2020, 365: 112364. 通讯作者
Hui Liang, Hermann Brunner, The convergence of collocation solutions in continuous piecewise polynomial spaces for weakly singular Volterra integral equations, SIAM Journal on Numerical Analysis, 2019, 57(4): 1875-1896.
Jianfang Gao, Hui Liang, Shufang Ma, Strong convergence of the semi-implicit Euler method for nonlinear stochastic Volterra integral equations with constant delay, Applied Mathematics and Computation, 2019, 384: 385-398. 通讯作者
Jianfang Gao, Shufang Ma, Hui Liang, Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations, Numerical Mathematics Theory Methods and Applications, 2019, 12(2): 547-565.
Hui Liang, Martin Stynes, Collocation methods for general Riemann-Liouville two-point boundary value problems, Advances in Computational Mathematics, 2019, 45: 897-928.
Hui Liang, Martin Stynes, Collocation methods for general Caputo two-point boundary value problems, Journal of Scientific Computing, 2018, 76: 390-425.
Tingting Zhang, Hui Liang, Multistep collocation approximations to solutions of first-kind Voterra integral equations, Applied Numerical Mathematics, 2018, 130: 171-183. 通讯作者，第一作者为硕士研究生
Hui Liang, Zhanwen Yang, Jianfang Gao, Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations, Journal of Computational and Applied Mathematics, 2017, 317: 447-457.
Hui Liang, hp-Legendre-Gauss collocation method for impulsive differential equations, International Journal of Computer Mathematics, 2017, 94: 151-172. 独立作者
Hui Liang, Hermann Brunner, Integral-algebraic equations: theory of collocation methods II, SIAM Journal on Numerical Analysis, 2016, 54: 2640-2663.
Ran Zhang, Hui Liang, Hermann Brunner, Analysis of collocation methods for generalized auto-convolution Volterra integral equations, SIAM Journal on Numerical Analysis, 2016, 54: 899-920. 通讯作者
Hui Liang, Hermann Brunner, On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations, BIT Numerical Mathematics, 2016, 56: 1339-1367.
Hui Liang, Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays，Applied Mathematics and Computation, 2015, 264: 160-178. 独立作者
Hui Liang, Mingzhu Liu, Zhanwen Yang, Stability analysis of Runge-Kutta methods for systems u'(t)=Lu(t)+Mu([t]), Applied Mathematics and Computation, 2014, 228: 336-348.
Zuhua Zhang, Hui Liang, Collocation methods for impulsive differential equations, Applied Mathematics and Computation, 2014, 228: 463-476. 通讯作者，第一作者为硕士研究生
Hui Liang, Hermann Brunner, Integral-algebraic equations: theory of collocation methods I, SIAM Journal on Numerical Analysis, 2013, 51: 2238-2259.
Hui Liang, Hermann Brunner, Discrete superconvergence of collocation solutions for first-kind Volterra integral equations, Journal of Integral Equations and Applications, 2012, 3(24): 359-391.
Hui Liang, Hermann Brunner, Collocation methods for differential equations with piecewise linear delays, Communications on Pure and Applied Analysis, 2012, 5(11): 1839-1857.
Hui Liang, Minghui Song, Mingzhu Liu, Stability of the analytic and numerical solutions for impulsive differential equations, Applied Numerical Mathematics, 2011, 61(11): 1103-1113.
Hui Liang, Mingzhu Liu, Minghui Song, Extinction and permanence of Euler methods in the numerical solution of a two-prey one-predator system with impulsive effect, International Journal of Computer Mathematics, 2011, 88: 1305-1325.
Hermann Brunner, Hui Liang, Stability of collocation methods for delay differential equations with vanishing delays, BIT Numerical Mathematics, 2010, 50: 693-711.
Hui Liang, Mingzhu Liu, Wanjin Lv, Stability of θ-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments, Applied Mathematics Letters, 2010, 23: 198-206.
Hui Liang, Dongyang Shi, Wanjin Lv, Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument, Applied Mathematics and Computation, 2010, 217(2): 854-860.
Dongyang Shi, Hui Liang, Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes, Applied Mathematics and Computation, 2009, 212: 257-269.
Mingzhu Liu, Hui Liang, Zhanwen Yang, Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations, Applied Mathematics and Computation, 2007, 192(2): 346-357.
Dongyang Shi, Hui Liang, Superconvergence analysis of Wilson’s element on anisotropic meshes, Applied Mathematics and Mechanics, 2007, 28(1): 119-125.
Dongyang Shi, Hui Liang, Caixia Wang, Superconvergence analysis of a nonconforming triangular element on anisotropic meshes, Journal of Systems Science and Complexity, 2007, 20: 536-544.
专著
梁慧,《几类微分方程数值方法的研究》, 哈尔滨工业大学出版社, 2015年.
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