Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 8 February 2021Accepted: 01 October 2021Published online: 24 January 2022Keywordsinverse problems, multiscale methods, derivative-free methodsAMS Subject Headings62F15, 65C35, 65C30, 65N21Publication DataISSN (online): 1536-0040Publisher: Society for Industrial and Applie...

background: enzymes are well known as sensitive catalysts in the laboratory and industrial scale. to improve their properties and for using their significant potential in various reactions as a useful catalyst the stability of enzymes can often require improvement. enzymes immobilization on solid supports such as epoxy- functionalized ferric silica nanocomposite can be effective way to improve ...

For two electronic states coupled by conical intersections, the line integral of the derivative coupling can be used to construct a complex-valued multiplicative phase factor that makes the real-valued adiabatic electronic wave function single-valued, provided that the curl of the derivative coupling is zero. Unfortunately for ab initio determined wave functions, the curl is never rigorously ze...

— In this paper, the performances of the quasi-Newton BFGS algorithm, the NEWUOA derivative free optimizer, the Covariance Matrix Adaptation Evolution Strategy (CMA-ES), the Differential Evolution (DE) algorithm and Particle Swarm Optimizers (PSO) are compared experimentally on benchmark functions reflecting important challenges encountered in real-world optimization problems. Dependence of the...

Aderivative-free, delayedweight update law is developed formodel reference adaptive control of continuous-time uncertain systems, without assuming the existence of constant ideal weights. Using a Lyapunov–Krasovskii functional it is proven that the error dynamics are uniformly ultimately bounded, without the need for modification terms in the adaptive law. Estimates for the ultimate bound and t...