华中科技大学主页平台管理系统李东方--中文主页--科学研究

研究领域

科学计算（分数阶微分方程数值解，泛函微分方程数值解，抛物型偏微分方程数值解）；信号处理;机器学习

论文成果

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[1] Gao Ruimin,Yin Yajun,Li Yaoda.Li Dongfang.An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations.Physica D,2024,(467):134264
[2] Zhang Qifeng,Li Dongfang,Mao Wanying.A family of linearly weighted-θ compact ADI schemes for sine-Gordon equations in high dimensions.NUMERICAL ALGORITHMS,2024,
[3] Gao Ruimin,Li Dongfang,Mei Ming.Zhao Dan.A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations.MATHEMATICS AND COMPUTERS IN SIMULATION,2024,
[4] Li Dongfang,Sun Haiwei.Li Xiaoxi.Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation.JOURNAL OF SCIENTIFIC COMPUTING,2023,(3):
[5] Yuan Wanqiu,Zhang Chengjian.Li Dongfang.Linearized fast time-stepping schemes for time-space fractional Schrodinger equations.PHYSICA D-NONLINEAR PHENOMENA,2023,

专利

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著作成果

[1]
数值代数

科研项目

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李东方

科学研究

研究领域

论文成果

[1] Gao Ruimin,Yin Yajun,Li Yaoda.Li Dongfang.An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations.Physica D,2024,(467):134264

[2] Zhang Qifeng,Li Dongfang,Mao Wanying.A family of linearly weighted-θ compact ADI schemes for sine-Gordon equations in high dimensions.NUMERICAL ALGORITHMS,2024,

[3] Gao Ruimin,Li Dongfang,Mei Ming.Zhao Dan.A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations.MATHEMATICS AND COMPUTERS IN SIMULATION,2024,

[4] Li Dongfang,Sun Haiwei.Li Xiaoxi.Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation.JOURNAL OF SCIENTIFIC COMPUTING,2023,(3):

[5] Yuan Wanqiu,Zhang Chengjian.Li Dongfang.Linearized fast time-stepping schemes for time-space fractional Schrodinger equations.PHYSICA D-NONLINEAR PHENOMENA,2023,

专利

著作成果

[1]
数值代数

科研项目

[1] 反常扩散模型的长时间行为及其保结构算法理论,1B3F40C122C849E38BF01E61B5528442,G2022154036L，主持,

[2] 偏微分模型的高保真算法与理论,1B3F40C122C849E38BF01E61B5528442,G2021154003L，主持,

[3] 国家自然科学基金资助课题 "几类多维非线性微分方程的高性能数值算法研究", NSFC 11771162, 主持,

[4] 国家自然科学基金资助课题 “几类延迟微分方程新的保稳定算法及其应用”，NSFC 11201161, 主持,

[5] 博士后基金 “几类延迟微分方程的长时间数值性态研究”， 2016M602273，主持；,

李东方

科学研究

[1] Gao Ruimin,Yin Yajun,Li Yaoda.Li Dongfang.An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations.Physica D,2024,(467):134264

[2] Zhang Qifeng,Li Dongfang,Mao Wanying.A family of linearly weighted-θ compact ADI schemes for sine-Gordon equations in high dimensions.NUMERICAL ALGORITHMS,2024,

[3] Gao Ruimin,Li Dongfang,Mei Ming.Zhao Dan.A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations.MATHEMATICS AND COMPUTERS IN SIMULATION,2024,

[4] Li Dongfang,Sun Haiwei.Li Xiaoxi.Optimal Error Estimates of SAV Crank-Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation.JOURNAL OF SCIENTIFIC COMPUTING,2023,(3):

[5] Yuan Wanqiu,Zhang Chengjian.Li Dongfang.Linearized fast time-stepping schemes for time-space fractional Schrodinger equations.PHYSICA D-NONLINEAR PHENOMENA,2023,

[1] 数值代数

[1] 反常扩散模型的长时间行为及其保结构算法理论,1B3F40C122C849E38BF01E61B5528442,G2022154036L， 主持,

[2] 偏微分模型的高保真算法与理论,1B3F40C122C849E38BF01E61B5528442,G2021154003L， 主持,

[3] 国家自然科学基金资助课题 "几类多维非线性微分方程的高性能数值算法研究", NSFC 11771162, 主持,

[4] 国家自然科学基金资助课题 “几类延迟微分方程新的保稳定算法及其应用”，NSFC 11201161, 主持,

[5] 博士后基金 “几类延迟微分方程的长时间数值性态研究”， 2016M602273， 主持；,

[1]
数值代数

[1] 反常扩散模型的长时间行为及其保结构算法理论,1B3F40C122C849E38BF01E61B5528442,G2022154036L，主持,

[2] 偏微分模型的高保真算法与理论,1B3F40C122C849E38BF01E61B5528442,G2021154003L，主持,

[5] 博士后基金 “几类延迟微分方程的长时间数值性态研究”， 2016M602273，主持；,