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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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11/30/2022
GPU-Accelerated DNS of Compressible Turbulent Flows
This paper explores strategies to transform an existing CPU-based high-p...
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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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12/20/2021
Implicit Extensions of an Explicit Multirate Runge-Kutta Scheme
We propose a new method that extends conservative explicit multirate met...
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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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12/16/2019
PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis
We present a new software system PETSc TSAdjoint for first-order and sec...
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10/15/2018
Statistical Treatment of Inverse Problems Constrained by Differential Equations-Based Models with Stochastic Terms
This paper introduces a statistical treatment of inverse problems constr...
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10/02/2018