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个人简介

学术访问经历 2008年-2009年 英国剑桥大学访问学者 2015年 中国科学院数学与系统科学研究院访问教授 2019年 加拿大阿尔伯塔大学高级访问学者 科研项目 分数阶常微分方程高精度数值方法的理论研究及应用,国家自然科学基金(已结题),负责人 半线性微分方程的数值理论及其应用,国家自然科学基金(已结题),负责人 延迟积分微分系统及比例系统的数值稳定性研究,黑龙江省自然科学基金(已结题),负责人 延迟微分系统的数值稳定性研究,哈尔滨工业大学理学基金(已结题),负责人 延迟微分方程稳定性分析,国家自然科学基金(已结题),排序第二 延迟微分方程数值分析及其在控制系统中的应用,国家自然科学基金(已结题),排序第三 时滞微分方程的数值算法分析,黑龙江省自然科学基金(已结题),排序第二 微分方程的高振荡积分求解,哈尔滨工业大学科研创新基金(已结题),排序第二 科研奖励 延迟微分方程的数值稳定性,黑龙江省科学技术奖(自然科学类)二等奖,排序第一 Runge-Kutta方法及延迟微分方程数值分析,中国高校自然科学奖二等奖,排序第二

研究领域

微分方程的数值计算 积分方程的数值计算

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

A kind of generalized backward differentiation formulae for solving fractional differential equations, Appl. Math. Comput., 2022, 419, 126872. (SCI) Fully discretized methods based on boundary value methods for solving diffusion equations, Appl. Math. Comput., 2022, 418, 126848. (SCI) Conforming Virtual Element Methods for Sobolev Equations, J. Sci. Comput., 2022, 93(1), 32. (SCI) A weak Galerkin method with rectangle partitions for the Signorini problem, Comput. Appl. Math., 2022, 41(5), 207. (SCI) Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2, Appl. Math. Comput., 2021, 399, 126034. (SCI) Lagrange nodal discontinuous Galerkin method for fractional Navier-Stokes equations, Appl. Math. Comput., 2021, 391, 125697. (SCI) Generalized Adams method for solving fractional delay differential equations, Math. Comput. Simulation, 2021, 180, 401-419. (SCI) Strong convergence and stability of the split-step theta method for highly nonlinear neutral stochastic delay integro differential equation, Appl. Numer. Math., 2020, 157, 385-404. (SCI) General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation, Appl. Math. Comput., 2020, 364, 124664. (SCI) Backward difference formulae and spectral Galerkin methods for the Riesz space fractional diffusion equation, Math. Comput. Simulation, 2019, 166, 494-507. (SCI) Mean square convergence of explicit two step methods for highly nonlinear stochastic differential equations, Appl. Math. Comput., 2019, 361, 466-483. (SCI) Super implicit multistep collocation methods for weakly singular Volterra integral equations, Numer. Math. Theor. Meth. Appl., 2019, 12(4), 1039-1065. (SCI) The analysis of operator splitting for the Gardner equation, Appl. Numer. Math., 2019, 144, 151-175. (SCI) Generalized backward differentiation formulae for thefractional differential equation, EAJAM, 2019, 9(3), 506-521. (SCI) Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation, Appl. Numer. Math., 2019, 142, 122-138. (SCI) An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations, Appl. Math. Comput., 2019, 351, 124-138. (SCI) Multistep collocation methods for second-kind Volterraintegral equations with weakly singular kernels, EAJAM, 2019, 9(1), 67-86. (SCI) A kind of product integration scheme for solving fractional ordinary differential equations, Appl. Numer. Math., 2019, 136, 279-292. (SCI) D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations, Appl. Math. Comput., 2018, 339, 45-58. (SCI) The analysis of operator splitting methods for the Camassa-Holm equation, Appl. Numer. Math., 2018, 130, 1-22. (SCI) Convergence and stability analysis of exponential generallinear methods for delay differential equations, Numer. Math. Thero. Meth.Appl., 2018, 11(2), 354-382. (SCI) Multiderivative extended Runge–Kutta–Nystrom methods formulti-frequency oscillatory systems, Int. J. Comput. Math., 2018, 95(1), 231-254. (SCI) Delay-dependent stability of symmetric Runge-Kutta methods for second orderdelay differential equations with three parameters, Appl. Numer. Math., 2017, 117, 103-114. (SCI) Exponential additive Runge-Kutta methods for semi-linear differentialequations, EAJAM, 2017, 7(2), 286-305. (SCI) High order fractional backward differentiation formulae, Appl. Anal., 2017, 96(10), 1669-1680. (SCI) Sinc numerical solution for pantograph Volterra delay-integro-differentialequation, Int. J. Comput. Math., 2017, 94(5), 853-865. (SCI) Stability of Symmetric Runge-Kutta Methods for Neutral DelayIntegro-Differential Equations, SIAM J. Numer. Anal., 2017, 55(1), 328-348. (SCI) Stability analysis of explicit exponential integrators for delay differentialequations, Appl. Numer. Math., 2016, 109, 96-108. (SCI) Determining surface heat flux for noncharacteristic Cauchy problem for Laplaceequation, Math. Comput. Simulation, 2016, 129, 69-80. (SCI) Sinc collocation solutions for the integral algebraic equation of index-1, Adv.Appl. Math. Mech., 2016, 8(5), 757-771. (SCI) Legendre Spectral Collocation Methods for Volterra Delay-Integro-DifferentialEquations, J. Sci. Comput., 2016, 67(3), 1110-1133. (SCI) An optimal filtering method for a time fractional inverse advection-dispersionproblem, J. Inverse Ill-Posed Probl, 2016, 24(1), 51-58. (SCI) An adaptive multigrid conjugate gradient method for permeability identificationof nonlinear diffusion equation, J. Inverse Ill-Posed Probl, 2016, 24(1),89-97. (SCI) Two regularization methods for inverse source problem on thePoisson equation, Complex Var. Elliptic, 2015, 60(10), 1374-1391. (SCI) Delay-dependent stability of symmetric boundary value methods for second orderdelay differential equations with three parameters, Numer. Algor., 2015, 69, 321-336. (SCI) A wavelet multiscale-adaptive homotopy method for the inverse problem ofnonlinear diffusion equation, Inverse Probl. Sci. En., 2015, 23(4), 617-634.(SCI) An analysis of delay-dependent stability of symmetric boundary value methodsfor the linear neutral delay integro-differential equations with fourparameters, Appl. Math. Modell., 2015, 39(9), 2453-2469. (SCI) Central difference regularization method for inverse source problemon the Poisson equation, Complex Var. Elliptic, 2015, 60(3), 405-415. (SCI) A modified Kernel method for solving Cauchy problem of two-dimensional heatconduction equation, Math. Meth. Appl. Sci., 2015, 7(1), 31-42. (SCI) Legendre-Gauss collocation methods for nonlinear neutral delay differentialequations, Adv. Differ. Equ., 2015, 21, 1-24. (SCI) A nonlinear multigrid method for inversion of two-dimensional acoustic waveequation, J. Inverse Ill-Posed Probl., 2014, 22(3), 429-448. (SCI) An inverse problem for space-fractional backward diffusion problem, Math. Meth.Appl. Sci., 2014, 37, 1147-1158. (SCI) Identification of space-dependent permeability in nonlinear diffusion equationfrom interior measurements using wavelet multiscale method, Inverse Probl. Sci.En., 2014, 22(4), 507-529. (SCI) A comparison of regularization methods for identifying unknown source problemfor the modified Helmholtz equation, J. Inverse Ill-Posed Probl., 2014, 22(2),277-296. (SCI) Collocation methods for fractional integro-differential equations with weaklysingular kernels, Numer. Algor. 2014, 65(4), 723-743. (SCI) A new regularization method for Cauchy problem of elliptic equation, ComplexVar. Elliptic, 2014, 59(9), 1302-1314. (SCI) Stability analysis of block boundary value methods for the neutral differentialequation with many delays, Appl. Math. Model., 2014, 38(1), 325-335. (SCI) Delay-dependent stability analysis of symmetric boundary value methodsfor linear delay integro-differential equations, Numer. Algor. 2014, 65(1),125-151. (SCI) Stability analysis of block boundary value methods for neutral pantographequation, J. Difference Equ. Appl., 2013, 19(8), 1227-1242. (SCI) Two Tikhonov-type regularization methods for inverse source problem onthe Poisson equation, Math. Meth. Appl. Sci., 2013, 36(11), 1399-1408. (SCI) An adaptive homotopy method for permeability estimation of a nonlineardiffusion equation, Inverse Probl. Sci. En., 2013, 21(4), 585-604. (SCI) Numerical approximation of Hopf bifurcation for tumor-immune system competitionmodel with two delays, Adv. Appl. Math. Mech., 2013, 5(2), 146-162. (SCI) Stability analysis of extended block boundary value methods for linear neutraldelay integro-differential equations, Int. J. Comput. Math., 2013,90(3), 705-726. (SCI) A Finite element method for the multiterm time-space Riesz fractionaladvection-diffusion equations in finite domain, Abstr. Appl. Anal., 2013, DOI:10.1155/2013/868035. (SCI) Stability and convergence of an effective finite element method for multitermfractional partial differential equations, Abstr. Appl. Anal., 2013, DOI:10.1155/2013/857205. (SCI) Nonlinear stability and D-convergence of additive Runge-Kutta methods formultidelay-integro-differential equations, Abstr. Appl. Anal., 2012, DOI:10.1155/2012/854517. (SCI) Some stability and convergence of additive Runge-Kutta methods for delay differentialequations with many delays, J. Appl. Math., 2012, DOI: 10.1155/2012/456814.(SCI) Stability analysis of exponential Runge-Kutta methods for delay differentialequations, Appl. Math. Lett., 2011, 24(7), 1089-1092. (SCI) Exponential Runge-Kutta methods for delay differential equations, Math. Comput.Simulation, 2010, 80(12), 2350-2361. (SCI) Estimation of Longest Stability Interval for a Kind of Explicit LinearMultistep Methods, Discrete Dyn. Nat. Soc., 2010, DOI: 10.1155/2010/912691.(SCI) Stability of theta-methods for linear delay-integro-differential systems, Int.J. Comput. Math., 2010, 87(12), 2697-2705. (SCI) Analysis of delay-dependent stability of linear theta-methods for lineardelay-integro-differential equations, IMA J. Appl. Math., 2009, 74(6), 851-869.(SCI) Stability of Runge-Kutta methods for neutraldelay-integro-differential-algebraic system, Math. Comput. Simulation, 2008,79(3), 571-583. (SCI) Asymptotic stability of linear non-autonomous difference equations with fixeddelay, Appl. Math. Comput., 2008, 198(2), 787-798. (SCI) Stability analysis theta-methods for neutral multidelay integrodifferentialsystem, Discrete Dyn. Nat. Soc., 2007, DOI: 10.1155/2007/42540. (SCI) Stability of a class of Runge-Kutta methods for a family of pantographequations of neutral type, Appl. Math. Comput., 2006, 181(2), 1170-1181. (SCI) Stability of the Rosenbrock methods for the neutral delaydifferential-algebraic equations, Appl. Math. Comput., 2005, 168(2), 1128-1144.(SCI) Stability analysis of numerical methods for linear neutral Volterradelay-integro-differential system, Appl. Math. Comput., 2005, 167(2),1062-1079. (SCI) H-stability of Runge-Kutta methods with variable stepsize for system of pantographequations, J. Comput. Math., 2004, 22(5), 727-734. (SCI) Asymptotic stability of Runge-Kutta methods for the pantograph equations, J.Comput. Math., 2004, 22(4), 523-534. (SCI) The stability of the theta-methods for delay differential equations, J. Comput.Math., 1999, 17(4), 441-448. (SCI)

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