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04/07/2023
Unified hp-HDG Frameworks for Friedrichs' PDE systems
This work proposes a unified hp-adaptivity framework for hybridized disc...
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12/20/2022
Learning Subgrid-scale Models with Neural Ordinary Differential Equations
We propose a new approach to learning the subgrid-scale model when simul...
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02/24/2022
Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations
Earth system models are complex integrated models of atmosphere, ocean, ...
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08/19/2021
Entropy-Preserving and Entropy-Stable Relaxation IMEX and Multirate Time-Stepping Methods
We propose entropy-preserving and entropy-stable partitioned Runge-Kutta...
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01/22/2021
Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations
Earth system models are composed of coupled components that separately m...
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11/02/2020
A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations
We propose an Exponential DG approach for numerically solving partial di...
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08/21/2018
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures
We develop a high-order hybridized discontinuous Galerkin (HDG) method f...
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11/07/2017