My research features the development of: 1. Fast algorithmic frameworks for large-scale physics simulation 2. Fast direct solvers and hierarchical decomposition methods 3. Scientific data compression methods 4. Integral equation formulations for numerical PDE in fluids, active soft matter, biophysics, wave scattering, elasticity. 5. Singular and near-singular integration methods for integral kernels 6. Modeling and fast simulation frameworks for heterogeneous power grid systems.
keywords
Integral Equations, Fast Algorithms, Fast Multipole Methods, Randomized Algorithms, Tensor Decomposition, Numerical PDE, Computational soft matter, Biophysics and materials simulation, Fast algorithms for power systems
