About

I am a Postdoctoral Associate at the Courant Institute, working with Benjamin Peherstorfer.

Previously, I was a Chu Assistant Professor at Columbia University. I received a PhD in applied math from the University of Washington, advised by Randall J. LeVeque and Gunther Uhlmann.

[CV, updated 2019/07/01].

Research Interests

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

• Model reduction of parametrized nonlinear systems of hyperbolic conservation laws for uncertainty quantification (UQ) problems
• Approximate discrete Radon transform (ADRT) and its applications: Dimensional splitting, nonlinear dimensionality reduction
• Applications in geophysics and medical imaging: probabilistic tsunami hazard assessment, storm surge prediction, coupled-physics imaging

Publications / Preprints / Software

Exact and Fast Inversion of the Approximate Discrete Radon Transform
D. Rim
Preprint (2019) | [arXiv]

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

Dimensional splitting of hyperbolic partial differential equations using the Radon transform
D. Rim
SIAM J. Sci. Comput. 40 (6), A4184–A4207 (2018) | [doi][arXiv]

Displacement interpolation using monotone rearrangement
D. Rim and K.T Mandli
SIAM/ASA J. Uncertainty Quantification 6 (4), 1503-1531 (2018) | [doi][arXiv][github]

Imaging of isotropic and anisotropic conductivities from power densities in three dimensions
F. Monard and D. Rim
Inverse Probl. 34 (7), 075005 (2018) | [doi][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 6 (1), 118-150 (2018) | [doi][arXiv]

An elementary proof that symplectic matrices have determinant one
D. Rim
Adv. Dyn. Syst. Appl. 12 (1), 15-20 (2017) | [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. 173: 3671 (2016) | [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 no. 4, 337-353 (2012) | [doi][Preprint]

More 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).

Contact

_{Email: dr1653@nyu.edu}