Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Abstract: The adverse impacts of commutation failure (CF) of a line-commutated converter (LCC)-based high-voltage direct current (HVdc) system on the connected ac system are becoming more serious for ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

Can neural networks learn to solve partial differential equations (PDEs)? We investigate this question for two (systems of) PDEs, namely, the Poisson equation and the steady Navier–Stokes equations.

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

Physicist Albert Einstein famously posited that if he only had an hour to crack a daunting problem, he'd devote 55 minutes to ...

QUT researchers have developed a pioneering mathematical framework to help "pick winners" and maximize limited funding and ...

Researchers are working on manipulating the digestive systems of wax worms to create a scalable way of disposing of plastic. In 2017, European researchers discovered a potential solution. The larvae ...

A Chinese team has unveiled what it calls the world’s first “brain-like” large language model – an artificial intelligence system designed to use less energy, perform better and operate without Nvidia ...

Aug 29 (Reuters) - Meta Platforms (META.O), opens new tab is considering partnerships with rivals Google (GOOGL.O), opens new tab or OpenAI to enhance artificial intelligence features in its ...

Tens of millions of voters have had their citizenship status and other information checked using a revamped tool offered by the Trump administration, even as many states — led by both Democrats and ...