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 ...

This article champions "second-order thinking" for entrepreneurs, urging them to look beyond immediate outcomes to understand long-term consequences, hidden costs, and competitive responses. It ...

A second court ruled that President Trump’s executive order on birthright citizenship still cannot go into effect anywhere in the country, following the Supreme Court’s recent decision that claws back ...

Abstract: Recently, variational and partial differential equation (PDE)-based algorithms have become very important for image restoration. In this study, we propose a new second order hyperbolic PDE ...

A stop loss order is a trading tool that automatically sells a security if its price falls to a set level, helping investors limit losses without constantly monitoring the market. While it can protect ...

Prosecutors say Trump violated the limited gag order in his hush money case. Lawyers for the Manhattan district attorney, in a hearing Tuesday morning, will attempt to convince the judge overseeing ...

This paper addresses the limitations of current neural ordinary differential equations (NODEs) in modeling and predicting complex dynamics by introducing a novel framework called ...

remove-circle Internet Archive's in-browser bookreader "theater" requires JavaScript to be enabled. It appears your browser does not have it turned on. Please see ...

Phenomena such as mechanical vibrations, resonance and oscillations can be mathematically described by second-order differential equation systems, commonly referred to as second-order systems. Working ...