Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Abstract: Recently, analog matrix inversion circuits (INV) have demonstrated significant advantages in solving matrix equations. However, solving large-scale sparse tridiagonal linear systems (TLS) ...

Abstract: In this paper, fractional order implicit dynamics (FOID) is first proposed and investigated for solving time-varying linear matrix equation $A(t) X(t) B(t ...

The Backward Euler and Crank–Nicolson methods are solved using a tridiagonal solver implementing the Thomas algorithm. The first and last rows correspond to the boundary conditions, and the interior ...

A specific structure of Standard Model (SM) particles is proposed and investigated. According to this proposal, the precursor of an elementary particle is a de Sitter space tangent to ordinary ...