5 citations · 5 across the 9 of their papers we have counts for
4 papers · 1 filter
Tensor-Train Weak SINDy: Identifying High-Dimensional Nonlinear Dynamics
Will Houser, Vanja Dukic, David M. Bortz
In recent years, weak-form methods have made significant advances in data-driven discovery of dynamical systems. However, in high-dimensional settings, current techniques can prove…
Weak Form Learning for Mean-Field Partial Differential Equations: an Application to Insect Movement
Seth Minor, Bret D. Elderd, Benjamin Van Allen +2
Insect species subject to infection, predation, and anisotropic environmental conditions may exhibit preferential movement patterns. Given the innate stochasticity of exogenous fac…
WENDy for Nonlinear-in-Parameters ODEs
Nic Rummel, Daniel A. Messenger, Stephen Becker +2
The Weak-form Estimation of Non-linear Dynamics (WENDy) framework is a recently developed approach for parameter estimation and inference of systems of ordinary differential equati…
The Weak Form Is Stronger Than You Think
Daniel A. Messenger, April Tran, Vanja Dukic +1
The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern computational and applied mathematics. In this work we provide a survey of both the his…