The standard hybrid Monte Carlo algorithm uses the second order integrator at the molecular dynamics step. This choice of the integrator is not always the best. We study the performance of the hybrid Monte Carlo algorithm for lattice QCD with higher order integrators in both zero and finite temperature phases and find that in the finite temperature phase the performance of the algorithm can be ...

Dual quadrature signal generator (QSG) along with a positive sequence calculator (PSC) eliminates the negative components from unbalanced grid voltages. The QSGs also offer attenuation to harmonics and dc-offset present in sensed input Fourth-order superior harmonic complete rejection compared lower-order QSGs. Therefore, dual fourth-order QSG + PSC is an apt solution for pre-filtering phase-lo...

Abstract In this paper, we establish the optimal convergence for a second-order exponential-type integrator from Hofmanová & Schratz (2017, An KdV equation. Numer. Math., 136, 1117–1137) solving Korteweg–de Vries equation with rough initial data. The scheme is explicit and efficient to implement. By rigorous error analysis, show that provides accuracy in $H^\gamma $ data $H^{\gamma +4}$ any...

We implement a second-order exponential integrator for semidiscretized advectiondiffusion-reaction equations, obtained by coupling exponential-like Euler and Midpoint integrators, and computing the relevant matrix exponentials by polynomial interpolation at Leja points. Numerical tests on 2D models discretized in space by Finite Differences or Finite Elements, show that the Leja-Euler-Midpoint ...

In this paper, a review of Phase Locked Loop (PLL) algorithms and symmetrical component extraction methods intended for grid-connected power electronic converters are presented. Proposed classification is based on voltage representation in three coordinates: natural (abc), stationary (αβ) and rotating coordinates (dq). The three selected algorithms are described in details: Dual Second Order Ge...