Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help explore what ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

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 ...

Abstract: Large linear systems are used in many applications, and millions of equations can be utilized (e.g., in aircraft manufacturing). These equations need to be simplified, which allows faster ...

This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly ...

They had to throw away most of what it produced but there was gold among the garbage. Google DeepMind has used a large language model to crack a famous unsolved problem in pure mathematics. In a paper ...

Balls of human brain cells grown in a dish, known as organoids, have been linked to computers and used to solve mathematical equations. The work is an early step towards using living brain tissue as a ...

This paper uses the Adomian Decomposition Method (ADM) to solve Boussinesq equations using Maple. The Boussinesq approximation for water waves is a weakly nonlinear and long-wave approximation in ...

A Python-based linear equation solver CLI application that allows a user to input a number of linear equations and choose any one of 4 numerical methods (Gaussian-elimination, LU decomposition, ...