4 papers · 1 filter
Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds
Liam Llamazares-Elias, Samir Llamazares-Elias, Jonas Latz +1
Global information about dynamical systems can be extracted by analysing associated infinite-dimensional transfer operators, such as Perron--Frobenius and Koopman operators as well…
Data-driven discovery of chemical reaction networks
Abraham Reyes-Velazquez, Stefan Güttel, Igor Larrosa +1
We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data. The framework utilizes an integral…
Adaptive stepsize algorithms for Langevin dynamics
Alix Leroy, Benedict Leimkuhler, Jonas Latz +1
We discuss the design of an invariant measure-preserving transformed dynamics for the numerical treatment of Langevin dynamics based on rescaling of time, with the goal of sampling…
The random timestep Euler method and its continuous dynamics
Jonas Latz
ODE solvers with randomly sampled timestep sizes appear in the context of chaotic dynamical systems, differential equations with low regularity, and, implicitly, in stochastic opti…