(Topics include but are not limited to)
Numerical solutions of partial differential equations and finite element methods
High-precision numerical schemes and error analysis
Stochastic differential equations and uncertainty quantification
Matrix computations and numerical linear algebra
Iterative solution of nonlinear equations
Multiscale modeling and homogenization methods
Inverse problems and data assimilation algorithms
Large-scale optimization algorithms and convergence analysis
Convex optimization and non-smooth optimization methods
Distributed and parallel numerical computing
Mathematical theories and algorithms in machine learning
Deep learning optimization and generalization theory
Dimensionality reduction of high-dimensional data and sparse representation
Compressed sensing and matrix recovery
Tensor computations and high-dimensional data analysis
Graph algorithms and network optimization
Time series modeling and prediction algorithms
Big data sampling and approximation algorithms
Applications of numerical computing in science and engineering
Computational fluid dynamics and multi-physics field simulation
Numerical methods in financial mathematics
Numerical algorithms in quantum computing
Algorithm complexity and performance evaluation
High-performance computing and software implementation
Data-driven modeling and scientific machine learning