### 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