Results 41 to 50 of about 2,871 (179)
Mathematics, 2022 There are a plethora of semi-local convergence results for Newton’s method (NM). These results rely on the Newton–Kantorovich criterion. However, this condition may not be satisfied even in the case of scalar equations.
Samundra Regmi +3 more
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Notions of optimal transport theory and how to implement them on a computer [PDF]
, 2017 This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general objects), to interpolate between objects or to enforce mass/volume ...
Levy, Bruno, Schwindt, Erica
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Numerical treatment of singularly perturbed unsteady Burger-Huxley equation
Frontiers in Applied Mathematics and Statistics, 2023 This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
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A numerical algorithm for $L_2$ semi-discrete optimal transport in 3D [PDF]
, 2014 This paper introduces a numerical algorithm to compute the $L_2$ optimal transport map between two measures $\mu$ and $\nu$, where $\mu$ derives from a density $\rho$ defined as a piecewise linear function (supported by a tetrahedral mesh), and where ...
Levy, Bruno
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The convergence theorem for fourth-order super-Halley method in weaker conditions
Journal of Inequalities and Applications, 2016 In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
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The Role of a Priori Estimates in the Method of Non-local Continuation of Solution by Parameter
Известия Иркутского государственного университета: Серия "Математика", 2020 An iterative method for continuation of solutions with respect to a parameter is proposed. The nonlocal case is studied when the parameter belongs to the segment of the real axis.
N.А. Sidorov
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Abstract and Applied Analysis, 2013 Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin +4 more
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Mathematics, 2020 The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend
Denis Sidorov +4 more
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Reduction of the model noise in non-linear reconstruction via an efficient calculation of the incident field: application to a 434 MHz Scanner [PDF]
, 1999 Microwave tomography has been drastically boosted by the development of efficient reconstruction algorithms based on an iterative solution of the corresponding non-linear inverse problem.
Bolomey, Jean Charles +7 more
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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