Extended Kung–Traub Methods for Solving Equations with Applications
Mathematics, 2021 Kung and Traub (1974) proposed an iterative method for solving equations defined on the real line. The convergence order four was shown using Taylor expansions, requiring the existence of the fifth derivative not in this method. However, these hypotheses
Samundra Regmi +4 more
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SAFA : a semi-asynchronous protocol for fast federated learning with low overhead [PDF]
, 2020 Federated learning (FL) has attracted increasing attention as a promising approach to driving a vast number of end devices with artificial intelligence.
He, Ligang +5 more
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Numerical Processes for Approximating Solutions of Nonlinear Equations
Axioms, 2022 In this article, we present generalized conditions of three-step iterative schemes for solving nonlinear equations. The convergence order is shown using Taylor series, but the existence of high-order derivatives is assumed.
Samundra Regmi +3 more
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Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries [PDF]
, 2015 Well posedness is established for a family of equations modelling particle populations undergoing delocalised coagulation, advection, inflow and outflow in a externally specified velocity field.
Patterson, Robert I. A.
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Gaussian semi-parametric estimation of fractional cointegration [PDF]
, 2003 We analyse consistent estimation of the memory parameters of a nonstationary fractionally cointegrated vector time series. Assuming that the cointegrating relationship has substantially less memory than the observed series, we show that a multi-variate ...
Velasco, Carlos
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A semi-local convergence theorem for a robust revised Newton’s method
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhengyu, Wu, Xinyuan
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On a nonlinear partial differential algebraic system arising in technical textile industry: Analysis and numerics [PDF]
, 2015 In this paper we explore a numerical scheme for a nonlinear fourth order system of partial differential algebraic equations that describes the dynamics of slender inextensible elastica as they arise in the technical textile industry.
Baur +4 more
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Constrained-DFT method for accurate energy level alignment of metal/molecule interfaces [PDF]
, 2013 We present a computational scheme for extracting the energy level alignment of a metal/molecule interface, based on constrained density functional theory and local exchange and correlation functionals.
Pemmaraju, C. D. +4 more
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On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps [PDF]
, 2016 This paper is concerned with the stability and numerical analysis of solution to highly nonlinear stochastic differential equations with jumps. By the Itô formula, stochastic inequality and semi-martingale convergence theorem, we study the asymptotic ...
Mao, Wei, Mao, Xuerong, You, Surong
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On the Ostrowski Method for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper, we revisited the Ostrowski's method for solving Banach space valued equations. We developed a technique to determine a subset of the original convergence domain and using this new Lipschitz constants derived.
Ioannis K. Argyros +2 more
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