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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) in making this work possible.

Recent news:

• 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.