2 papers
math.NA2020
Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation
Bryce Chudomelka, Youngjoon Hong, Hyunwoo Kim +1
Nonlinear differential equations are challenging to solve numerically and are important to understanding the dynamics of many physical systems. Deep neural networks have been appli…
cs.CV2020
Robust Neural Networks inspired by Strong Stability Preserving Runge-Kutta methods
Byungjoo Kim, Bryce Chudomelka, Jinyoung Park +3
Deep neural networks have achieved state-of-the-art performance in a variety of fields. Recent works observe that a class of widely used neural networks can be viewed as the Euler…