• August 2026: our preprint "Nodal discontinuous Galerkin methods for non-ideal equations of state: pressure equilibrium preservation and entropy correction" is now online at https://arxiv.org/abs/2608.14506. This work introduces a new exactly PEC flux for non-ideal EOS and analyzes pressure equilibrium conserving (PEC) schemes and entropy stable high order methods for non-ideal equations of state.
  
  

• June 2026: Svetlana Tokareva and Jesse Chan jointly organized the fourth biennial 2026 North American High Order Methods Conference (NAHOMCon) in Santa Fe, New Mexico.
  
  

• April 2026: Jesse Chan gave a seminar talk in the Department of Mathematics at the University of Arkansas.
  
  

• March 2026: our preprint "Volume Term Adaptivity for Discontinuous Galerkin Schemes" with Daniel Doehring, Jesse Chan, Hendrik Ranocha, Michael Schlottke-Lakemper, Manuel Torrilhon, Gregor Gassner is now online at https://arxiv.org/abs/2603.24189. This work introduces "volume term adaptivity", where the discretization of the DG volume term is modified dynamically based on several criteria, such as entropy change, heuristic shock capturing sensors, and hybrid strategies between the two.
  
  

• March 2026: Jesse Chan gave keynote talks at SCALA 2026 and TRUDI 2026
  
  

• February 2026: our preprint "On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods" with Samuel Van Fleet is now online at https://arxiv.org/abs/2602.23210. This work shows that the choice of viscous discretization for artificial viscosity-based entropy correction methods matters. In particular, we show that when a local DG method is used, the artificial viscosity does not result in a stricter explicit CFL condition while also exhibiting a superconvergence property for sufficiently regular solutions. Finally, we demonstrate that this entropy correction approach is contact-preserving and minimally dissipative compared with sensor-based shock capturing.
  
  

• February 2026: Todd Arbogast, Leszek Demkowicz, and Jesse Chan organized the 2026 Finite Element Rodeo at UT Austin.
  
  

• February 2026: Jesse Chan gave a talk in the Scientific Computing Seminar at Brown University.
  
  

• November 2025: our paper "A robust first order meshfree method for time-dependent nonlinear conservation laws" with Samuel Kwan is now online. This work describes a simple method for constructing robust mesh-free discretizations using a summation-by-parts framework (which are computed and optimized using a simple and efficient two-step process) and a flux differencing formulation. Samuel is now a PhD student in IE/OR at U. Chicago; this work was done while Samuel was an undergraduate in our group.
  
  

• October 2025: the preprint "Efficient and Robust Caratheodory-Steinitz Pruning of Positive Discrete Measures" is available on arXiv now, and describes an new efficient implementation of a deterministic algorithm for calculating a moment-preserving reduced quadrature rule from a high-dimensional reference quadrature. The algorithm has been applied to both cut-cell quadratures and hyper-reduction in projection-based reduced order models.
  
  

• With Tan Bui-Thanh, Jesse Chan organized the 2025 Annual SIAM TXLA Sectional Meeting from Sept. 26-28 at UT Austin and the Oden Institute. This year, the conference had over 350 participants, 43 minisymposia, 4 plenary talks, a career panel, and mini-tutorial sessions.
  
  

• September 2025: the arXiv preprint of "Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting" by alumnus of the group Brian Christner is now online. This work extends two recently developed techniques for enforcing an entropy inequality (entropy correction artificial viscosity and knapsack limiting) to finite difference methods using a discrete graph-based artificial viscosity. The resulting scheme is high order accurate, and the knapsack limiting variant is able to preserve positivity for problems such as the LeBlanc shock tube and Woodward-Collela blast wave.
  
  

• September 2025: Jesse Chan gave a virtual talk in the Department of Mathematics "Modeling and Computation" seminar at the University of Arizona.

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