杨益宁

教育经历 

伟德BETVlCTOR bevictor伟德官方网站 数理科学基地班专业   本科

北京大学   bevictor伟德官方网站  信息安全与密码学专业  硕士

伟德BETVlCTOR bevictor伟德官方网站  微分方程数值解方向   博士

主讲课程

本科课程： 高等代数1，高等代数2，抽象代数，线性代数，概率论与数理统计

研究生课程：数值计算方法，高等数值分析

科研论著

1.      Structure-preserving BDF2 FE method for the coupledSchrodinger-Boussinesq equations

2.      Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model

3.      Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model

4.      Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation

5.      Numerical analysis and computation of the finite volume element method for the nonlinear coupled  time-fractional Schrödinger equations

6.      Multi-output physics-informed neural network for one- and two-dimensional nonlinear time distributed-order models

7.      Mixed spectral element method combined with second-order time-stepping schemes for a two-dimensional nonlinear fourth-order fractional diffusion equation

8.  学术专著《时间分数阶偏微分方程的混合元算法设计及误差分析》。