5 papers
Learning to Advect: A Neural Semi-Lagrangian Architecture for Weather Forecasting
Carlos A. Pereira, Stéphane Gaudreault, Valentin Dallerit +9
Recent machine-learning approaches to weather forecasting often employ a monolithic architecture in which distinct physical mechanisms-advection (long-range transport), diffusion-l…
Thermodynamically Constrained Information Geometric Regularization for Compressible Flows
Seth Taylor, Raymond J. Spiteri, Stéphane Gaudreault
We construct and analyze a thermodynamic extension of the recently proposed information geometric regularization of Cao and Schäfer. The construction extends their shock-mitigatin…
Analytical solutions for the Extracellular-Membrane-Intracellular model
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri
The Extracellular-Membrane-Intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The EMI model provides a more detailed description…
Non-Linear behavior of the Electron Cyclotron Drift Instability and the Suppression of Anomalous Current
Aryan Sharma, Andrei Smolyakov, Raymond J. Spiteri
We present results of one-dimensional collisionless simulations of plasma turbulence and related anomalous electron current of the Electron Cyclotron Drift Instability (ECDI). Our…
Improving the stability and efficiency of high-order operator-splitting methods
Siqi Wei, Victoria Guenter, Raymond J. Spiteri
Operator-splitting methods are widely used to solve differential equations, especially those that arise from multi-scale or multi-physics models, because a monolithic (single-metho…