Christina G. Taylor

Peter O'Donnell Jr Postdoctoral Fellow - Computational Hydraulics Group

Oden Institute at the University of Texas in Austin

Applied Mathematics ● Scientific Computing ● Engineering

christina.taylor@austin.utexas.edu

Key Interests: Cut Mesh Methods for Immersed/Embedded Boundary Problems and High Performance Computing

My research interests are in the intersection of mathematics, computer science/scientific computing, and engineering.

My primary research focus is in the development of efficient cut mesh methods and code libraries for enabling and improving the efficiency and robustness of simulating complex phenomena and real-world geometries. My current focus is on applying cut meshes for moving interface problems for flood simulation in Dr. Clint Dawson's Computational Hydraulics Group at UT Austin's Oden Institute for Computational Science and Engineering.

Current Projects/Work Focus

Cut meshes for evolving boundary problems
Data approximation using radial basis functions and graphs

Awards

Peter O'Donnell Jr. Postdoctoral Fellow (Fall 2024)
University of Texas' Oden Institute for Computational Science and Engineering with Dr. Clint Dawson.
NSF Graduate Research Fellow in Computational Mathematics (2021)
Department of Computational Applied Mathematics and Operations Research, Rice University.

Experience Highlights: Internships, Worskhops, and Other Experience

2024: Numerical PDEs and Their Applications
Institut Mittag-Leffler, Djorsholm, Sweden.
2024: Rising Stars in Computational and Data Science
University of Texas' Oden Institute, Sandia, Los Alamos, and Lawrence Livermore National Laboratories.
2023: Instructor of Record, High Performance Computing (CMOR 421/521).
Department of Computational Applied Mathematics and Operations Research, Rice University, Spring 2023.
2022: Simula Summer School in Computational Physiology
Simula Research Laboratores (Oslo, Norway), University of Califronia - San Diego.
2021: Argonne National Lab's Training Program in Extreme Scale Computing.
2021 and 2020: Numerical Algorithms Group Graduate Intern
BP's Center for High Performance Computing, Houston, TX.
2018: University of Florida's Center for Compressible Multiphase Turbulence Summer Intern. Gainesville, FL.
2017 and 2016: Google Engineering Practicuum Intern. Mountain View, CA.

Publications

Papers:

"An entropy stable high-order discontinuous Galerkin methods on cut meshes." C.G. Taylor, J. Chan. Submitted to Journal of Computational Physics.
- - ArXiv Preprint: https://arxiv.org/abs/2412.13002
"An energy stable high-order cut cell discontinous Galerkin method with state redistribution for wave propagation." C.G. Taylor, J. Chan, L.C. Wilcox. Journal of Comp. Physics.
- - ArXiv Preprint: https://arxiv.org/pdf/2404.06630
  - Paper: https://doi.org/10.1016/j.jcp.2024.113528
"Inducing flow instabilities in aneurysm geometris via the Reynolds-Orr method." A. Contri, C.G. Taylor, J. Tso, I. Gjerde. Simula SpringerBriefs on Computational Physiology: Simula Summer School 2022 - Student Reports (Chapter 6).
- - Full Report: https://link.springer.com/book/10.1007/978-3-031-25374-4
"Efficient computation of Jacobian matrices for summation-by-parts schemes." J. Chan, C.G. Taylor. Journal of Comp. Physics, 2021.
- - ArXiv Preprint: https://arxiv.org/abs/2006.07504
  - Paper: https://doi.org/10.1016/j.jcp.2021.110701

Theses:

- PhD Thesis: "Title: Energy and Entropy Stable High-Order Discontinuous Galerkin Methods on Cut Meshes." Rice University.
  - - Advisor: Dr. Jesse Chan
    - Link: https://repository.rice.edu/items/7b321053-aa57-4283-9d6d-58180b25396e
- Masters Thesis: "Efficient computation of Jacobian matrices for entropy stable summation by parts schemes." Rice University.
  - - Advisor: Dr. Jesse Chan
    - Link: https://repository.rice.edu/items/303657a9-d791-4159-92f4-9e3ce015e763