• Uncertainty quantification (UQ) problems involving nonlinear hyperbolic PDEs.
• Reduced order models (ROMs) of parametrized hyperbolic PDEs.
• Discrete Radon transform (DRT) and its applications
• Probabilistic tsunami hazard assessment (PTHA)
• Inverse conductivity problem with power densities in dimension three.
Donsub Rim is a Chu Assistant Professor of Applied Mathematics. Before coming to Columbia, he received his Ph.D. in Applied Mathematics in 2017 from the University of Washington where he studied uncertainty quantification (UQ) problems arising in tsunami modeling and reduced order models (ROMs) for hyperbolic partial differential equations. His current research continues to focus on the development of ROMs and related numerical techniques that help tackle UQ problems such as the probabilistic tsunami hazard assessment (PTHA).
Ph.D. Applied Mathematics, University of Washington, 2017
M.Sc. Appiled Mathematics, University of Washington, 2013
M.Sc. Applied Mathematics, Yonsei University, 2012
B.Sc. Mathematics, B.B.A. Business Administration, Yonsei University, 2011
Imaging of isotropic and anisotropic conductivities from power densities in three dimensions,
An elementary proof that symplectic matrices have determinant one
Adv. Dyn. Syst. Appl. (2017) 12 (1), 15-20
Generating random earthquake events for probabilistic tsunami hazard assessment (PTHA)
R. J. LeVeque, K. Waagan, F. I. Gonzalez, D. Rim, and G. Lin
Pure Appl. Geophys. (2016) 173: 3671
Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods
C. Carstensen, J. Gedicke, and D. Rim
J. Comput. Math. 30 (2012) no. 4, 337-353