If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

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 ...

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 ...

The internet became a thing just over four decades ago, and has now transformed into an essential service that connects billions of people worldwide. Every major industry, including healthcare, ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

I tried "6-to-1" method for buying groceries to see if it'd save me money and make my life easier. The method focuses on picking up a few ingredients to make a mix of meals throughout the week. I ...

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 ...

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 ...

Packing for a trip can be equally exciting and overwhelming. It's a real challenge to efficiently distill a closet full of clothes into a practical travel wardrobe without overpacking (a task loaded ...