科研论文
[1] Yunzhang Li*; Xiaolu Tan; Shanjian Tang; Discrete-time Approximation of Stochastic Optimal Control with Partial Observation, SIAM Journal on Control and Optimization, 2024, 62(1): 326-350. (T1)
[2] Yunzhang Li*; A high-order numerical method for BSPDEs with applications to mathematical finance, SIAM Journal on Financial Mathematics, 2022, 13(1): 147-178. (T2)
[3] Yunzhang Li; Chi-Wang Shu*; Shanjian Tang; A discontinuous Galerkin method for stochastic conservation laws, SIAM Journal on Scientific Computing, 2020, 42(1): A54-A86. (T1)
[4] Yunzhang Li; Chi-Wang Shu*; Shanjian Tang; An ultra-weak discontinuous Galerkin method with implicit–explicit time-marching for generalized stochastic KdV equations, Journal of Scientific Computing, 2020, 82(3): 61. (T2)
[5] Yunzhang Li*; A high-order numerical scheme for stochastic optimal control problem, Journal of Computational and Applied Mathematics, 2023, 427: 115158. (T3)
[6] Yunzhang Li*; Shanjian Tang; Approximation of BSDEs with super-linearly growing generators by Euler's polygonal line method: A simple proof of the existence, Systems & Control Letters, 2021, 153: 104952.
[7] Yunzhang Li; Chi-Wang Shu*; Shanjian Tang; A local discontinuous Galerkin method for nonlinear parabolic SPDEs, ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55: S187-S223. (T2)
[8] Li Zhou; Yunzhang Li*; An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative, Communications in Computational Physics, 2022, 31(2): 516-547. (T1)
[9] Yunzhang Li*; Shanjian Tang; Approximation of backward stochastic partial differential equations by a splitting-up method, Journal of Mathematical Analysis and Applications, 2021, 493: 1-37. (T3)
[10] Yunzhang Li*; Shanjian Tang; BMO martingale method for backward stochastic differential equations driven by general càdlàg local martingales, Communications in Information and Systems, 2021, 21(4): 561-589.
[11] Kai Du; Yunzhang Li*; Yuyang Ye; Particle approximation for a conditional McKean-Vlasov stochastic differential equation, preprint (http://arxiv.org/abs/2403.17555)
[12] Yuyang Ye; Yunzhang Li*; Shanjian Tang; Fractional backward stochastic partial differential equations with applications to stochastic optimal control of partially observed systems driven by Lévy processes, preprint. (http://arxiv.org/abs/2409.07052)
[13] Yixiang Dai; Yunzhang Li*; Jing Zhang, Local discontinuous Galerkin method for nonlinear BSPDEs of Neumann boundary conditions with deep backward dynamic programming time-marching, preprint. (http://arxiv.org/abs/2409.11004)
[14] Bin Pei; Lifang Feng; Yunzhang Li; Yong Xu*; The governing equation of stochastic dynamical system excited by combined fractional Gaussian noise and Gaussian white noise, preprint.
[15] Miaomiao Li; Yunzhang Li; Bin Pei; Yong Xu*; Averaging principle for slow-fast semilinear RPDEs, preprint.
科研项目
国家自然科学基金项目:
1. 国家自然科学基金委员会,青年科学基金项目,12301566,平均场框架下的部分观测随机最优控制问题的紧性方法与数值研究,2024.01 – 2026.12,30万元,在研,主持
省部级项目:
1. 上海市科学技术委员会,上海市2023年度“科技创新行动计划”基础研究领域项目,23JC1400300,平均场系统滤波问题的混沌传播理论与粒子博弈极限理论,2023.12 – 2026.11,40万元,在研,主持
2. 上海市教育委员会与上海市教育发展基金会,上海市“晨光计划”,22CGA02,倒向随机N-S方程的概率学表征和数值方法,2023.01 – 2024.12,6万元,在研,主持
3. 中国博士后科学基金会,中国博士后科学基金面上资助,2021M690703,完全非线性二阶PDEs的间断有限元方法及其应用,2021.06 – 2022.06,8万元,结题,主持
4. 中国博士后科学基金会,国家博士后创新人才支持计划,BX20200096,高维SPDEs和BSPDEs的LDG方法及其在随机最优控制中的应用,2020.06 – 2022.06,63万元,结题,主持
横向项目:
1. 合作单位:华东师范大学附属东昌中学,课题名称:数学核心素养培养项目技术服务(拔尖创新人才培养),2024.03 – 2024.12,34.08万元,在研,主持
学术会议
1. 2024.12.16 – 2024.12.20,The 14th AIMS Conference 2024,阿联酋阿布扎比,专题报告
2. 2024.08.11 – 2024.08.12,随机最优控制数值算法研讨会,中国长沙,邀请报告
3. 2024.07.27 – 2024.07.31,International Workshop on Probability Theory and Stochastic Analysis,中国威海,邀请报告
4. 2023.08.28 – 2023.09.01,The Second HKSIAM Biennial Meeting,中国香港,专题报告
5. 2023.08.20 – 2023.08.25,第十届国际工业与应用数学大会,日本东京,专题报告
6. 2023.08.09 – 2023.08.12,The Fifth International Workshop on Development and Application of High-Order Numerical Methods,中国青岛,邀请报告
7. 2023.08.07 – 2023.08.11,第14届数学控制理论及应用学术会议,中国成都,邀请报告
8. 2023.08.02 – 2023.08.05,中国工业与应用数学学会系统与控制数学2023年学术研讨会, 中国银川,邀请报告