Jesse Chan
Associate Professor
Dept. of Computational Applied Mathematics and Operations Research
Rice University
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
March 2025: Jesse Chan gave a talk in the Applied Mathematics Seminar in the Dept. of Mathematics at the University of Utah.
March 2025: Jesse Chan, Raven Johnson, Ray Qu, Raymond Park, and Brian Christner are all presenting at SIAM CSE 2025 in Fort Worth, TX.
Feb 2025: Jesse Chan gave a plenary talk on "Efficient Implementation of High Order Entropy Stable Methods for Computational Fluid Dynamics" at the Energy HPC Conference at Rice University.
Feb 2025: the arXiv preprint of "Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods" with PhD student Ray Qu and Prof. Akil Narayan is now available. In this work, we generalize entropy stable reduced order models to high order DG methods, introducing a new condition to guarantee accuracy on non-uniform meshes. We also examine the performance of entropy stable ROMs and their robustness for predictive simulations.
Jan 2025: the arXiv preprint of "An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods" is now available. In this work, we show that it is possible to construct a semi-discretely entropy stable high order DG method on general elements using a simple local artificial viscosity coefficient computed from the local entropy violation and local entropy dissipation.