I am a Chu Assistant Professor of Applied Mathematics at Columbia University.

Previously, I was a PhD student at the University of Washington, advised by Randall J. LeVeque and Gunther Uhlmann.

Research Interests

My interests are in the numerical analysis of partial differential equations (PDEs) and inverse problems

Publications and Preprints

Model reduction of a parametrized scalar hyperbolic conservation law using displacement interpolation
D. Rim and K.T Mandli
Preprint (2018) [arXiv]

Displacement interpolation using monotone rearrangement
D. Rim and K.T Mandli
Preprint (2017) [arXiv]

Dimensional splitting of hyperbolic partial differential equations using the Radon transform
D. Rim
Preprint (2017) [arXiv]

Imaging of isotropic and anisotropic conductivities from power densities in three dimensions
F. Monard and D. Rim
Inverse Probl. (2018) 34 (7), 075005 [arXiv] [github]

Transport reversal for model reduction of hyperbolic partial differential equations
D. Rim, S. Moe, and R. J. LeVeque
SIAM/ASA J. Uncertainty Quantification (2018) 6 (1), 118-150 [doi][arXiv]

An elementary proof that symplectic matrices have determinant one
D. Rim
Adv. Dyn. Syst. Appl. (2017) 12 (1), 15-20 [arXiv]

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 [doi][arXiv]

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 [doi] [Preprint]

Numerical Software

For a full list of relevant numerical softwares, please visit my github page.
See also: Top ten reasons to not share your code (and why you should anyway).


500 W. 120th St 200 S.W. Mudd
Mail Code: 4701
Applied Physics and Applied Mathematics
Columbia University
New York, NY, USA, 10027-6623
Email: dr2965@columbia.edu