About
I am a PhD Candidate of Applied Mathematics at the University of Washington,
Seattle.
My advisors are Randall J. LeVeque and Gunther Uhlmann.
- github: github.com/dsrim
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
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]
Contact
Lewis Hall 214
Applied Mathematics
University of Washington
Seattle, WA, USA
98195-3725
Email: drim@uw.edu