Using a generalization of Newton's method, a non-linear parabolic equation of the form ut - uxx = g(u), and a non-linear elliptic equation uxx + uyy = eu, are solved numerically. Comparison of these ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

Either way, let’s not be in denial about it. Credit...Illustration by Christoph Niemann Supported by By Kevin Roose and Casey Newton Kevin Roose and Casey Newton are the hosts of The Times’s “Hard ...

In this video, we return to the Las Vegas casino floor to test a slot machine strategy we discovered on YouTube, incorporating one small change that could make a significant difference. We explore a ...

This article was featured in One Great Story, New York’s reading recommendation newsletter. Sign up here to get it nightly. Chungin “Roy” Lee stepped onto Columbia University’s campus this past fall ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. Grocery shopping can feel expensive and tiring, but some people have developed methods they believe ...

A recent article in Advanced Materials reports a new fabrication method for nonlinear optical components using nanostructured polycrystalline lithium niobate (LN). The study addresses key limitations ...

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...

% This Matlab code solves three-variable non-linear equation f(x) = 0 using Newton-Raphson iterative method [1]. % Ref. [1] S. Chapra, "Applied numerical methods with MATLAB", Mc Craw Hill, Singapore ...