3 citations · 9 across the 11 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
cs.LG2024★ 3 cited
PinnDE: Physics-Informed Neural Networks for Solving Differential Equations
Jason Matthews, Alex Bihlo
In recent years the study of deep learning for solving differential equations has grown substantially. The use of physics-informed neural networks (PINNs) and deep operator network…
physics.comp-ph2024★ 1 cited
Physics-informed neural networks for tsunami inundation modeling
Rüdiger Brecht, Elsa Cardoso-Bihlo, Alex Bihlo
We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solvin…
math.AP2024★ 1 cited
Generalized symmetries of Burgers equation
Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych
Despite the number of relevant considerations in the literature, the algebra of generalized symmetries of the Burgers equation has not been exhaustively described. We fill this gap…