程秀俊
女，1990年7月生，博士研究生，副教授
研究方向：微分方程数值解法，非高斯随机动力系统的定量刻画
发表论文
[1] Yahui Wang, Wenzhuo Xiong, Qifeng Zhang, Xiujun Cheng*, Pointwise error estimates of time-space compact Euler schemes for linear/semi-linear parabolic equations, International Journal of Computer Mathematics, 2025, 102(5):708-727.
[2] Wenzhuo Xiong, Xiujun Cheng*, Qifeng Zhang*, Error estimates and parallel evaluation of hybrid schemes for parabolic, wave, and Schrödinger equations, Journal of Computational and Applied Mathematics, 2025, 465:116579.
[3] Wenzhuo Xiong, Xiao Wang, Xiujun Cheng*, Fast algorithms of compact scheme for solving parabolic equations and their application, Applied Numerical Mathematics, 2025, 215: 90-111.
[4] Xiujun Cheng, Wenzhuo Xiong, Huiru Wang, An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions, Stochastics and Dynamics, 2023,08: 2340004.
[5] Xiujun Cheng, Hongyu Qin, Jiwei Zhang, Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator, Journal of Computational and Applied Mathematics, 2022, 400:113762.
[6] Xiujun Cheng, Xiaoqiang Yan, Hongyu Qin, Huiru Wang, Optimal l∞ error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator, Computers and Mathematics with Applications, 2021, 100:74–82.
[7] Xiujun Cheng, A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay, Journal of Difference Equations and Applications, 2021, 27: 1218-1231.
[8] Xiujun Cheng, Hongyu Qin, Jiwei Zhang, A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition,Applied Numerical Mathematics, 2020, 156: 50-62.
[9] Xiujun Cheng, Hui Wang, Xiao Wang, Jinqiao Duan, Xiaofan Li, Most probable transition pathways and maximal likely trajectories in a genetic regulatory system, Physica A, 2019, 531:121779.
[10] Xiujun Cheng, Jinqiao Duan,Dongfang Li, A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations, Applied Mathematics and Computation, 2019, 346:452-464.
[11] Xiujun Cheng, Fengyan Wu, Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator, Boundary Value Problems,2018, 1:1-17.
[12] Hui Wang, Xiujun Cheng*, Jinqiao Duan, Jürgen Kurths, Xiaofan Li, Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018, 28:013121.
科研项目
1、非高斯噪声驱动系统的若干相关问题及其应用,国家自然科学基金委，2020.01-2022.12，主持.
2、随机动力系统的定量刻画及其应用，中国博士后科学基金，2020.01-2023.10，主持.
3、基因调控系统的最大可能轨道与最大可能转移路径，浙江理工大学，2019.01-2022.12，主持.
4、浅水波中两组分非线性双曲抛物系统的保结构算法研究，浙江省自然科学基金委， 2023.01-2025.12， 参与.
5、纵向数据下联合均值-协方差模型的稳健估计方法研究，浙江理工大学，2021.01-2024.12，参与.
6、几类时滞空间反常扩散系统的高精度守恒算法研究， 浙江省自然科学基金委， 2019.01-2021.12， 参与.
7、时滞积分微分方程若干数值和理论研究， 浙江理工大学， 2019.01-2020.12，参与.
8、随机Camassa-Holm型方程孤立波的动力学研究， 浙江理工大学， 2019.01-2020.12， 参与.
9、带奇性的Kinetic Cucker-Smale 模型在随机环境中的平均场极限及时间渐近行为研究，国家自然科学基金委，2019.01-2021.12，参与.
10、几类多维非线性微分方程的高效能数值算法研究，国家自然科学基金委，2018.01-2021.12，参与.
