A generic and efficient Taylor series–based continuation method using a quadratic recast of smooth nonlinear systems
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6049
Abstract: This paper is concerned with a Taylor series based continuation algorithm, ie, the so-called Asymptotic Numerical Method (ANM). It describes a generic continuation procedure that apply the ANM principle at best, that is to say,… read more here.
Keywords: taylor series; series based; based continuation; method ... See more keywords
Universal Taylor Series Without Baire and the Influence of J.-P. Kahane
Sign Up to like & getrecommendations! Published in 2018 at "Analysis Mathematica"
DOI: 10.1007/s10476-018-0208-y
Abstract: In this paper I present my first proof regarding the existence of universal Taylor series on the disc where the universal approximation was required on the boundary as well. It is a modification of a… read more here.
Keywords: universal taylor; taylor series; baire theorem; kahane ... See more keywords
Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Machine Learning and Cybernetics"
DOI: 10.1007/s13042-018-0835-4
Abstract: This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the… read more here.
Keywords: type fuzzy; goal programming; taylor series; fuzzy numbers ... See more keywords
Spurious limit functions of Taylor series
Sign Up to like & getrecommendations! Published in 2019 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-019-00322-w
Abstract: It is known that, generically in the space $$H({\mathbb {D}})$$H(D) of functions holomorphic in the unit disc $${\mathbb {D}}$$D, the sequences $$(S_n f)$$(Snf) of partial sums of Taylor series behave extremely erratically on the unit… read more here.
Keywords: spurious limit; functions taylor; limit; taylor series ... See more keywords
Hybrid method of moments with interpolation closure–Taylor-series expansion method of moments scheme for solving the Smoluchowski coagulation equation
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.07.052
Abstract: Abstract This paper presents a hybrid method of moments with interpolation closure–Taylor-series expansion method of moments (MoMIC–TEMoM) scheme for solving the Smoluchowski coagulation equation. In the proposed scheme, the exponential function, which arises in the… read more here.
Keywords: taylor series; coagulation; series expansion; method ... See more keywords
Taylor-series approximations for queues with arrival correlation
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.12.008
Abstract: Abstract This paper studies a discrete-time single-server queueing system with correlated arrivals. Arrivals at the queue stem from a number of active sessions, each generating a packet in a slot with a fixed probability q.… read more here.
Keywords: series approximations; arrival correlation; approximations queues; taylor series ... See more keywords
Exponential Taylor Series Method to eliminate the gamma distortion in phase shifting profilometry
Sign Up to like & getrecommendations! Published in 2019 at "Optics Communications"
DOI: 10.1016/j.optcom.2019.07.044
Abstract: Abstract Phase shifting profilometry (PSP) is widely applied in three-dimensional (3D) shape measurement because of its high precision and simple hardware configuration. However, the gamma effect of commercial digital projector usually causes nonlinear periodical phase… read more here.
Keywords: method; taylor series; exponential taylor; phase ... See more keywords
FPGA implementation of adaptive digital pre-distorter with improving accuracy of lookup table by Taylor series method
Sign Up to like & getrecommendations! Published in 2018 at "Electronics Letters"
DOI: 10.1049/el.2018.1082
Abstract: Due to the non-linear behaviour of the power amplifier (PA), the amplification of signals with fluctuating envelopes leads to distortion inevitably. These non-linear effects can be counteracted by the digital pre-distortion (DPD) with the adaption… read more here.
Keywords: taylor series; digital pre; lookup table; method ... See more keywords
A Precision Benchmark Suite for Nuclear Reactor Point Kinetics Equations via Converged Accelerated Taylor Series (CATS)
Sign Up to like & getrecommendations! Published in 2024 at "Nuclear Science and Engineering"
DOI: 10.1080/00295639.2023.2255727
Abstract: Abstract Extreme benchmarks of 10 or more places for the point kinetics equations for time-dependent nuclear reactor power transients are rare. Therefore, to establish an extreme benchmark, we employ a Taylor series (TS) with continuous… read more here.
Keywords: taylor series; kinetics equations; series; nuclear reactor ... See more keywords
Digital image correlation method based on Taylor series interpolation
Sign Up to like & getrecommendations! Published in 2025 at "Measurement Science and Technology"
DOI: 10.1088/1361-6501/add03f
Abstract: Digital image correlation methods are used to obtain the deformation parameters by matching the target image with the reference image. The analysis accuracy of the deformation parameters is affected by several factors, among which the… read more here.
Keywords: image; taylor series; series interpolation; interpolation ... See more keywords
Radial basis Taylor series method and its applications
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Computations"
DOI: 10.1108/ec-05-2020-0256
Abstract: Purpose The study aims to present a new meshless method based on the Taylor series expansion. The compact supported radial basis functions (CSRBFs) are very attractive, can be considered as a numerical tool for the… read more here.
Keywords: taylor series; basis; radial basis; method ... See more keywords