About
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
- Uncertainty quantification (UQ) concerning nonlinear hyperbolic systems of conservation laws, via reduced order models (ROMs).
- Target applications are geophysical problems: probabilistic tsunami hazard assessment (PTHA) and statistical tsunami source inversion.
- Inverse anisotropic conductivity from power densities in dimension three.
Publications and Preprints
Imaging of three-dimensional anisotropic conductivities from power density measurements,
F. Monard and D. Rim
In preparation.
(2017)
Dimensional splitting of hyperbolic partial differential equations using the Radon transform
D. Rim
Preprint.
(2017)
[arXiv]
Transport reversal for model reduction of hyperbolic partial differential equations
D. Rim, S. Moe, and R. J. LeVeque
Accepted, SIAM/ASA J. Uncertainty Quantification
(2017)
[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 [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).
Contact
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