3.主持或参与完成的科技项目(或负责的重点、重大工程项目) (1)省属本科高校科研经费项目:微分方程数值分析,经费12万元,2018.12-2021.12; (2)黑龙江省博士后基金:非线性中立型随机微分方程数值解及其在神经网络中的应用,经 费10万元,2017.12-2020.12 (3)黑龙江省自然科学基金:几类非线性延迟微分方程数值方法相关问题的研究及应用,经 费6万元,2014.07-2017.04; (4)黑龙江省普通本科创新人才基金:非线性多刚性与半线性延迟微分方程数值理论及应用, 经费10万元,2015.07-2018. 07。 ? |
5.发表的代表性论文及著作 (1)Haiyan Yuan,?Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations,?Journal of Computational Mathematics,?40 (2022), pp. 177-204; (2)Haiyan Yuan, Some?Propertiesof?Numerical?Solutions?for?Semilinear?Stochastic?Delay Differential Equations Driven by G-Brownian Motion,Mathematical Problems in Engineering?, (2021) DOI:10.1155/2021/1835490; (3)Haiyan Yuan,?Convergence and stability of exponential integrators for semi-linearstochastic pantograph integro-differential equations with jump,?Chaos, Solitons and Fractals,147(2020),pp.1-14; (4)Haiyan Yuan,?Convergence and stability of exponential?integrators for semi-linear stochastic variable?delay integro-differential equations,?International Journal of Computer Mathematics, (2020)?DOI: 10.1080/00207160. 2020.1792452; (5)Haiyan Yuan,?Mean square stability and dissipativity of split-step theta method for nonlinear neutral stochastic delay differential equations with Poisson jumps,?Journal of Computational Mathematics,?J. Comp. Math., 35 (2017), pp. 766-779. |