... equations subject to convex constraints. The method employs an acceleration parameter to approximate the Jacobian matrix. The scheme is derived by combining the double step length method with a Picard–Krasnoselskii hybrid iterative process. Under mild conditions, the approach converges globally. Numerical...

... regularity only on the initial condition, we prove convergence of the scheme, space-time Hölder regularity of the solution, depending on the fractional orders of the operators, as well as specific blow up rates of the first time derivative. The schemes’ performance is further numerically verified using both...

... derivative ( Azo ). Substituting the amphiphile's stearyl group (C18AA) with an oleyl group (OleylAA) significantly accelerates Azo incorporation, achieving complete integration within minutes for OleylAA nanofibers, compared to 24 h for C18AA nanofibers. Graphical Abstract Graphical Abstract azobenzene...

... Publication Model ( https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights ) Abstract To achieve the precise and specific detection of hypochlorite (ClO⁻) in living cells, we designed and synthesized the coumarin derivative 7-(diethylamino)-3-(thiophen-2-yl)-2H-chromen-2-one ( CMNT...

.../ ), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract The area of fractional calculus, which incorporates fractional or noninteger order derivatives and integrals, has become one of the more effective fields. As compared...

... the terms of the Creative Commons Attribution License ( https://creativecommons.org/licenses/by/4.0/ ), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract One particular class of derivative-free optimization algorithms...

... shown that regime switching is an important characteristic of temperature processes. Thus, this work develops an efficient finite difference scheme with one-sided difference to price weather derivatives with the partial differential equations (PDEs) of regime-switching temperature models. For management...

...Jizu Huang (1.7) (1.1) where , with or is the computational domain, is a given total free energy functional and is the variational derivative. The free energy functional usually can be written explicitly as (1.2) where , is an interface energy coefficient...

...) as an alternative risk transfer (ART) mechanism for raising additional capital. To meet this demand, CAT bonds, an emerging type of ILS, serve as contingent claims on a set of specified trigger mechanisms, with a payoff linked to insurance risk. In other words, they are derivatives with the underlying claims...

...-discretization of the Toda equation is the -discrete Toda equation, which is derived by replacing standard derivatives with the so-called -derivatives that involves a parameter such that . In a prior work, we related the -discrete Toda equation to implicit-shift transformations (which...

... method to characterize susceptibility to these caffeic derivatives in wild populations of Nasonovia ribisnigri (Mosley) (Hemiptera: Aphididae), Brevicoryne brassicae(Linnaeus) (Hemiptera: Aphididae) and, Aphis craccivora(Koch) (Hemiptera: Aphididae...

... contact [email protected]. Abstract In this research, we prepared novel hydrogels from enzymatically synthesized α-1,3-glucan and its carboxymethyl derivative by crosslinking with ethylene glycol diglycidyl ether. The resulting hydrogels were highly swellable and pH-sensitive with an enhanced...

... about controllability, we refer to previous works ( Ahmed, 2021 ; Dineshkumar & Udhayakumar, 2022 ; Jothilakshmi et al., 2022 ; Raja et al., 2022 ; Kumar et al., 2022b , 2023 ; Dineshkumar et al., 2023a , b , c ). where is the conformable derivative...

... the incidence of stillbirth and congenital limb malformations. MS spectrometry analysis identified cycasin derivatives in both sub-fractions, suggesting their possible role in the observed limb malformations. However, further experiments are necessary to validate this hypothesis and to elucidate the underlying...

... hand, in the last years, interest in fractional calculus has increased substantially. The fractional derivative operators have the property of non-locality, which allows the dynamics of many complex processes in engineering and applied sciences to be modelled (see Ostrovsky (1976) ; Chen & Lee...

... ; Seeberger 2022 ). The building blocks are termed monosaccharides but there are also monosaccharide derivatives that occur within glycomolecules as discrete, basic units with specific linkages. The term monosaccharide is derived from the Greek monos (single) and sacchar (sugar). Unlike...

... to the unsteady MHD nanofluid flow with entropy generation rate and fractional-order derivative has been further investigated in Afridi et al. ( 2018 ), Makinde and Eegunjobi ( 2021a ), and Tahir and Shahzad ( 2023 ). Raza et al. ( 2023 ) described a new fractional approach for carboxymethyl...

... to drive Penman‒Monteith and PenPan models for simulating E_pan. The partial derivative attribution method was used to analyze the dominant factors affecting E_pan. The results showed that E_pan exhibits obvious periodic changes, the 19a is the first...

... computational power than interpolation-based methods and is easy to implement in matrix-based programming languages such as MATLAB. As only function evaluations are required, the method is suitable for use in derivative-free algorithms. For reasonably structured sample sets, the method is proven to create...

...Yiwen Chen; Warren Hare Corresponding author: [email protected] 8 8 2022 20 2 2023 12 6 2023 Abstract The centred simplex gradient (CSG) is a popular gradient approximation technique in derivative-free optimization. Its computation requires a perfectly symmetric set of sample points...