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07/16/2022
Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations
We discuss structure-preserving numerical discretizations for repulsive ...
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05/25/2022
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties
We study diagonally implicit Runge-Kutta (DIRK) schemes when applied to ...
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01/27/2022
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
High-order entropy-stable discontinuous Galerkin methods for the compres...
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06/03/2021
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
This paper describes in detail the implementation of a finite element te...
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12/09/2020
Thermodynamically consistent physics-informed neural networks for hyperbolic systems
Physics-informed neural network architectures have emerged as a powerful...
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09/13/2020