3 papers
math.NA2026
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…
physics.ao-ph2025
Learning vertical coordinates via automatic differentiation of a dynamical core
Tim Whittaker, Seth Taylor, Elsa Cardoso-Bihlo +2
Terrain-following coordinates in atmospheric models often imprint their grid structure onto the solution, particularly over steep topography, where distorted coordinate layers can…
math.NA2025
Diffeomorphic Neural Operator Learning
Seth Taylor, Alex Bihlo, Jean-Christophe Nave
We present an operator learning approach for a class of evolution operators using a composition of a learned lift into the space of diffeomorphisms of the domain and the group acti…