We previously developed a tri-diagonalized finite-difference time-domain (FDTD) algorithm based on the weighted Laguerre polynomials (WLPs) for modeling wave propagation in magnetized plasma. The ...

fortran root-finding polynomials nonlinear-equations eigenvalues polynomial-roots jenkins-traub companion-matrix polynomial-equations fortran-package-manager laguerre-method Updated 2 weeks ago ...

A mathematician has solved a 200-year-old maths problem after figuring out a way to crack higher-degree polynomial equations without using radicals or irrational numbers. The method developed by ...

In this communication, a new temporal basis is proposed to solve this problem, which is composed of three weighted Laguerre polynomials in adjacent orders. Based on this new temporal basis, the matrix ...