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math.NA2026
Optimal Transport, Timesteppers, Newton-Krylov Methods and Steady States of Collective Particle Dynamics
Hannes Vandecasteele, Nicholas Karris, Alexander Cloninger +1
Timesteppers constitute a powerful tool in modern computational science and engineering. Although they are typically used to advance the system forward in time, they can also be vi…
math.NA2025
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems
Nicholas Karris, Evangelos A. Nikitopoulos, Ioannis G. Kevrekidis +2
We develop an Euler-type method to predict the evolution of a time-dependent probability measure without explicitly learning an operator that governs its evolution. We use lineariz…