Yanzhao Cao Professor

Subject Areas:

• Applied Mathematics
• Numerical Analysis

Areas of Interest:

• Numerical solutions for partial differential equations and integral equations;
• optimal control under uncertainty;
• numerical solutions for stochastic partial differential equations

Research Areas:

• Numerical solutions for partial differential equations and integral equations
• Optimal control under uncertainty
• Numerical solutions for stochastic partial differential equations
• Numerical methods for nonlinear filtering problems

Current Research Projects:

• Numerical solutions for nonlinear filtering problems
• Modeling and numerical simulation for ground water flows in karst aquifers
• Analysis and numerical solutions for stochastic partial differential equations
• Numerical methods for flows in poroelastic media

 Current projects:

• Modeling and numerical simulations for flows in karest aquifers
• Numerical solutions for stochastic partial differential equations and nonlinear filter problems
• Numerical methods for flow in poroelastic media
• Backward doubly stochastic differential equation methods for nonlinear filtering problems and uncertainty quantification for deep learning