Physics-informed neural networks (PINNs) represent a burgeoning paradigm in computational science, whereby deep learning frameworks are augmented with explicit physical laws to solve both forward and ...

THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. Even the revolution effected by ...

This is a preview. Log in through your library . Abstract Coupled differential equations which describe the simultaneous relaxation of different components at greatly different rates present a ...

This is a preview. Log in through your library . Abstract Strongly stable and consistent multistep methods with maximum order are subject to marginal (or weak) stability. In this paper we introduce ...