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 2020/03/16].

Research Interests

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

Publications / Preprints / Software

Manifold Approximations via Transported Subspaces: Model reduction for transport-dominated problems
D. Rim, B. Peherstorfer, K.T. Mandli
Preprint (2019) | [arXiv]

Exact and fast inversion of the approximate discrete Radon transform from partial data
D. Rim
Appl. Math. Lett. 102 106159 (2020) | [doi][arXiv]

The Effects of Earthquake Kinematics on Tsunami Propagation
A. Williamson, D. Melgar, D. Rim
J. Geophys. Res. Solid Earth 124 11639-11650 (2019) | [doi]

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).


Email: dr1653@nyu.edu