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 2020/03/16].
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
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).
Contact
Email: dr1653@nyu.edu