Daniel A. Messenger

Weak SINDy for partial differential equations

Daniel A. Messenger, David M. Bortz · Journal of Computational Physics · 2021 · 198 citations · Full text

Weak Sindy, Geometric Partial Differential Equation, Nonlinear Hyperbolic Problem +1

Learning mean-field equations from particle data using WSINDy

Daniel A. Messenger, David M. Bortz · Physica D Nonlinear Phenomena · 2022 · 37 citations · Full text

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics

David M. Bortz, Daniel A. Messenger, Vanja Dukić · Bulletin of Mathematical Biology · 2023 · 26 citations · Full text

Learning anisotropic interaction rules from individual trajectories in a heterogeneous cellular population

Daniel A. Messenger, Graycen E. Wheeler, Xuedong Liu et al. · Journal of The Royal Society Interface · 2022 · 18 citations · Full text

Spatial Movement, Engineering, Machine Learning +18

Weak-form latent space dynamics identification

April Tran, Xiaolong He, Daniel A. Messenger et al. · Computer Methods in Applied Mechanics and Engineering · 2024 · 14 citations · Full text