(Topics include but are not limited to)
High precision numerical methods for partial differential equations
Finite element, boundary element and meshless method
Numerical solutions of fractional differential equations
Iterative Solution of Nonlinear Equation Systems
Eigenvalue Problem and Fast Algorithm
Multi scale modeling and homogenization methods
Matrix Calculation and Eigenvalue Algorithm
Numerical methods for stochastic differential equations
Numerical methods for optimal control problems
Convex optimization and nonsmooth optimization algorithms
Distributed Optimization and Parallel Computing
Mathematical Foundations and Algorithms in Machine Learning
Deep Learning Optimization Algorithm (Adam and Its Variants)
Compressed sensing and sparse representation
Tensor computation and high-dimensional data analysis
Data assimilation and inverse problem algorithm
The Application of Fractional Calculus in Complex Systems
Numerical methods in financial mathematics (such as option pricing)
Advanced Algorithms in Computational Fluid Dynamics
Computational Electromagnetics and Multiphysics Coupling
Biomathematical Modeling and Numerical Simulation
Variational and Partial Differential Equation Methods in Image Processing
Mathematical Foundations in Cryptography and Encoding Theory
Mathematical Algorithms in Quantum Computing
Algorithm complexity analysis and performance evaluation