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Our group focuses on computational mechanics and the efficient numerical solution of time-dependent partial differential equations. Recent work in this group has focused on provably stable and high order accurate methods for time-dependent wave propagation and fluid dynamics, as well as their efficient implementation on modern many-core architectures.

We gratefully acknowledge the support of the NSF (DMS-CAREER-1943186 and DMS-2231482) in making this work possible.

Recent news:

  • December 2023: graduate student Christina Taylor successfully defended their PhD proposal.
  • November 2023: graduate student Yimin Lin successfully defended their PhD defense.
  • October 2023: graduate student Raven S. Johnson successfully defended their MA thesis.
  • October 2023: graduate students Yimin Lin, Christina G. Taylor, and Raven S. Johnson presented talks at the first RTG-NASC workshop. Ray Qu presented a poster.
  • October 2023: Jesse Chan gave a talk in the Dept. of Applied Math at Brown University.
  • September 2023: Our paper “Efficient implementation of modern entropy-based discontinuous Galerkin methods for conservation laws” with the developers of Trixi.jl and FLEXI was accepted at ACM: Transactions on Mathematical Software.
  • September 2023: Jesse Chan gave a talk in the Numerical Analysis Seminar at University of Maryland College Park.
  • August 2023: our preprint “High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations” with undergraduate students Ruofeng Liu and Prani Nalluri (as well as alumni Xinhui Wu) is now available on arXiv.
  • July 2023: Jesse Chan’s interview with the Houston Asian American Archive is on Youtube
  • June 2023: our preprint “High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting” with PhD student Yimin Lin is now available on arXiv.
  • May 2023: Jesse Chan presented a virtual talk at Princeton Plasma Physics Laboratory.
  • May 2023: Beatrice Riviere, Matthias Heinkenschloss, and Jesse Chan were awarded an NSF RTG grant.
  • March 2023: Jesse Chan was elected Secretary for the SIAM TX-LA section.
  • March 2023: Yimin Lin successfully passed his PhD proposal, and will continue to work towards his PhD defense.
  • March 2023: Jesse Chan presented at the Finite Element Rodeo at Texas A&M.
  • March 2023: Christina G. Taylor and Jesse Chan presented at SIAM CSE 2023 in Amsterdam.
  • February 2023: Our paper “Discrete Adjoint Computations for Relaxation Runge–Kutta Methods” with Mario Bencomo was accepted to Journal of Scientific Computing.
  • January 2023: Our paper “Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics” with Andres Rueda-Ramirez, Florian Hindenlang, and Gregor Gassner was accepted to Journal of Computational Physics.
  • December 2023: Our paper “A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations” with PhD student Yimin Lin was accepted to Journal of Computational Physics.