A Short Course on Some PDE Issues: Theory, Analysis And Numerics
Presented by Dr. Xiangcheng Zheng（郑祥成）
University of South Carolina
Location: 南堂501 研讨型教室
Contents:
Linear Operators and Spectral Theory
Hilbert-Schmidt operators
Spectral theory of compact symmetric operators
Operators with fractional powers
2019.12.24 14:30-17:00 pm 8:30-11:00 am Discussion
Semigroups of Linear Operators
$C_0$ semigroup
Regularity estimates
2019.12.25 8:30-11:00 am 14:30-17:00 pm Discussion
Fractional operators , models and discretization
Properties of fractional operators
Weak-singular integral equations
Some fractional differential equations
Corresponding numerical methods
2019.12.26 8:30-11:00 am 14:30-17:00 pm Discussion
Approximation theory
Summability kernel
Weierstrass theory
Jackson estimates
2019.12.27 8:30-11:00 am 14:30-17:00 pm Discussion
Numerical methods for some fractional PDEs
Finite element methods
Spectral methods
Finite volume methods
Please contact Miss Chen Zhu (Tel: 15621186992) for detailed information of this short course.