Scholar
Wei Cai
Google Scholar ID: Ep2anTkAAAAJ
Clements Chair Professor in Applied Math, Southern Methodist University
Citations & Impact
Citations
2,191
H-index
19
i10-index
49
Publications
20
Co-authors
16
list available
Contact
No contact links provided.
Publications
Resume (English only)
Background
- Developing advanced fast machine learning, stochastic, and deterministic numerical methods for data science and scientific computing applications
- Focus on understanding complex physical phenomena, especially quantum phenomena, electromagnetic processes, wave scattering in random media, and stochastic controls
- Research includes deep neural network algorithms for scientific computing, wideband and multiscale spectral-bias-free learning for high-dimensional quantum systems, high-frequency wave scattering in random media, fluid dynamics, and stochastic controls
- Other interests: fast multipole methods for wave interactions in layered media, hierarchical random compression for kernel matrices, stochastic computing, computational probability, Feynman-Kac representations of PDEs, E&M polarizability tensors for complex-shaped particles
- Also works on computational biology, solvation, fast electrostatics algorithms, computational electromagnetics for metamaterials, quantum transport (Wigner transport and NEGF methods), adaptive wavelet/multiscale methods
- Employs Monte Carlo/stochastic methods, spectral methods, integral equation methods, and discontinuous Galerkin methods
