Abstract: Nonlinear equations systems (NESs) are widely used in real-world problems and they are difficult to solve due to their nonlinearity and multiple roots. Evolutionary algorithms (EAs) are one ...

Abstract: This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, which is a mathematical tool able to ...

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 ...

The Ullmann reaction is one of the oldest reactions in organometallic chemistry. It is one of the most widely used ...

Converting carbon dioxide from greenhouse gas emissions into valuable organic products is one step toward mitigating the ...

A woman and her teenage son lay dead inside a home in Gary's Miller section, but video from her Ring doorbell security system revealed the faces of two possible suspects. Within hours, police knew the ...

Imagine having a personal assistant that not only understands your words but also anticipates your needs, whether it’s drafting a flawless report, debugging complex code, or even generating stunning ...

The rapid evolution of generative AI tools is beginning to reshape how software is built, maintained, and scaled. AI is now streamlining many of the repetitive and time-consuming aspects of coding - ...