So this could just as easily go into the PS, but I figured I might get more answers in here. Is there a root finding method that is not as dependant on the initial guess as Newton-Raphson, yet ...

Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

HELPFUL HINTS: When hiring a private tutor, check the individual's credentials. Questions that should be asked include: 1) What are your credentials? 2) Where are you currently enrolled or teaching? 3 ...

Troy, N.Y. - A team of researchers, led by Rensselaer Polytechnic Institute professor Yuri Lvov, has found an elegant explanation for the long-standing Fermi-Pasta-Ulam (FPU) problem, first proposed ...

We propose a new concept which allows us to apply any numerical method of weak approximation to a very broad class of stochastic differential equations (SDEs) with nonglobally Lipschitz coefficients.

Journal of Coastal Research, Special Issue No. 93: Advances in Water Resources and Exploration (FALL 2019), pp. 119-124 (6 pages) In order to improve the numerical analysis ability of long period wave ...

Abstract: Crouzeix's conjecture is among the most intriguing developments in matrix theory in recent years. Made in 2004 by Michel Crouzeix, it postulates that, for any polynomial p and any matrix A, ...