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Research interests

  • Numerical analysis and scientific computing.
  • Domain decomposition methods, local time-stepping.
  • Heterogeneous, coupled problems; flow and transport in porous media.
  • Exponential time integration methods.
  • Ocean modeling.
  • Numerical methods for problems in solid mechanics.





Research grants

  • CAREER, NSF DMS-2041884 (PI), 2021 - 2026.
  • NSF DMS-1912626 (PI), 2019 - 2023.
  • NSF DMS-1949953 (Co-PI, conference grant), 2020 - 2022.
  • Auburn University Intramural Grant Program (PI), 2019 - 2021.
AU
NSF



Publications (Google Scholar profile)

  • (with C.-K. Doan, L. Ju and R. Lan), Dynamically regularized Lagrange multiplier methods for the Cahn-Hilliard-Navier-Stokes system, submitted, 2024.
  • (with C.-K. Doan and P.-T. Huynh), Noniterative localized exponential time differencing methods for hyperbolic conservation laws, submitted, 2024.
  • (with C. Japhet, M. Kern and J.E. Roberts), Ventcell Conditions with Mixed Formulations for Flow in Porous Media. In T. Dickopf, M.J. Gander, L. Halpern, R. Krause, L.F. Pavarino (eds.), Domain Decomposition Methods in Science and Engineering XXII, Lecture Notes in Computational Science and Engineering, vol. 104, pp. 531 - 540, Springer, 2016.


Doctoral dissertation







Thi-Thao-Phuong Hoang, Auburn University