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math.NA2025
Longer time accuracy for the Ladyzhenskya model with the EMAC formulation
Rihui Lan, Jorge Reyes
In this paper, we incorporate the EMAC formulation into the Ladyzhenskaya model (LM), a large eddy simulation (LES) of incompressible flows. The EMAC formulation, which conserves e…
math.NA2025
Numerical Analysis of a Bio-Polymerization Model
Ali Balooch, Faranak Courtney-Pahlevani, Lisa Davis +3
This work studies a stabilization technique for first-order hyperbolic differential equations used in DNA transcription modeling. Specifically we use the Lighthill-Whitham-Richards…
math.NA2024
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
Jorge Reyes, Ping-Hsuan Tsai, Julia Novo +1
The a priori error analysis of reduced order models (ROMs) for fluids is relatively scarce. In this paper, we take a step in this direction and conduct numerical analysis of the re…