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

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
Preprint. (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