Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...

Abstract: In this paper, we give a simple theorem on the waveform relaxation (WR) solution for a system of nonlinear second-order differential equations. It is shown that if the norm of certain ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Loker Hydrocarbon Institute and Department of Chemistry, University of Southern California, Los Angeles, California 90089-1661, and Department of Chemistry, University of Washington, Seattle, ...

In the moments following the Sept. 10, 2025, shooting of Turning Point USA CEO and co-founder Charlie Kirk in Utah, online users shared an alleged quote from the conservative political pundit about ...