Before revision: We extend the WSINDy (Weak SINDy) method of sparse recovery introduced previously by the authors ( arXiv:2005.04339) to the setting of partial differential equations (PDEs).
After revision: Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system discovery that has been shown to successfully recover governing dynamical systems from data (Brunton et al., PNAS, '16; Rudy et al., Sci. Adv. '17). Recently, several groups have independently discovered that the weak formulation provides orders of magnitude better robustness to noise. Here we extend our Weak SINDy (WSINDy) framework introduced in ( arXiv:2005.04339) to the setting of partial differential equations (PDEs).