In this paper we develop an alternative method to derive finite difference approximations of derivatives. The purpose is to find schemes which work for a broader range of frequencies than the usual approximations based on polynomial fitting and Taylor’s Theorem to the expense of less accuracy for low frequencies. The numerical schemes are obtained as solutions to constrained optimizations probl...

Abstract In this paper, we consider exponentially fitted peer methods for the numerical solution of first order differential equations and investigate how frequencies can be tuned in to obtain maximal benefit. We will show that key is analyzing error’s behavior. Formulae optimal are computed. Numerical experiments properties proposed algorithm.

There are a large number of frequency-domain analysis methods that are in widespread use. The most popular of these are frequency scans, harmonic penetration, and harmonic power flow. Each of these techniques can be employed on a “per-phase” (positive or zero sequence) or “multi-phase” basis and each technique utilizes an admittance matrix system model developed from individual component-level ...