Research Interests
My research interest is in computational and applied mathematics that includes modeling, analysis and developing numerical methods for problems arising from science and engineering. More specifically, I have worked on:
My Google Scholar
- numerical analysis and scientific computing;
- multi-scale, multi-physics and multi-phase problems in wave propagation, fluids, and materials;
- inverse problems related to medical and seismic imaging;
- computer vision and image processing.
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Selected Grants
Learning Partial Differential Equation (PDE) and Beyond
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2026RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026Computational Forward and Inverse Radiative Transfer
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2024Fellowships, Gifts, and Supported Research
Computational Forward and Inverse Radiative Transfer ·
2020
- 2023
NSF
Intrinsic complexity of random fields and its connections to random matrices and stochastic differential equations ·
2018
- 2021
NSF