Integrable systems and differential equations are fundamental areas of study in mathematics and physics, focusing on systems that can be solved exactly. These systems often exhibit rich structures and ...

This is a preview. Log in through your library . Abstract The purpose of this paper is to present efficient algorithms for computing solutions to systems of nonlinear equations with a block diagonal ...

In 1965 Broyden introduced a family of algorithms called (rank-one) quasi-Newton methods for iteratively solving systems of nonlinear equations. We show that when any member of this family is applied ...

Neuromorphic computers, inspired by the architecture of the human brain, are proving surprisingly adept at solving complex mathematical problems that underpin scientific and engineering challenges.

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

People power As a physicist who is now a dean at the University of Chicago, Nadya Mason has a lot on her plate, but she has found that prioritizing relationships with her team enables her to manage ...

Excel can solve equations through several of its mathematical functions, but the single Excel tool that works on the largest variety of equations is the program's Solver Add-in. This tool reads an ...

Balancing fundamentals, AI, and systems thinking is key to training future-ready engineers In today’s market, engineers need to be able to move fluidly between classical approaches and the ...