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  1. 21

    On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation by Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long

    Published 2015-01-01
    “…We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. …”
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  2. 22

    Midpoint Derivative-Based Closed Newton-Cotes Quadrature by Weijing Zhao, Hongxing Li

    Published 2013-01-01
    “…A novel family of numerical integration of closed Newton-Cotes quadrature rules is presented which uses the derivative value at the midpoint. …”
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  3. 23

    Generalized Newton Method for a Kind of Complementarity Problem by Shou-qiang Du

    Published 2014-01-01
    “…A generalized Newton method for the solution of a kind of complementarity problem is given. …”
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  4. 24

    Truncation error estimation for Newton–Cotes quadrature formulas by Kostas Plukas, Danutė Plukienė

    Published 2004-12-01
    “… Theoretical and practical aspects of truncation error estimation for Newton–Cotes quadrature formulas are discussed in this paper. …”
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    A Newton Interpolation Approach to Generalized Stirling Numbers by Aimin Xu

    Published 2012-01-01
    “…We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} which unifies various Stirling-type numbers investigated by previous authors. We make use of the Newton interpolation and divided differences to obtain some basic properties of the generalized Stirling numbers including the recurrence relation, explicit expression, and generating function. …”
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    A Population-Based Optimization Method Using Newton Fractal by Soyeong Jeong, Pilwon Kim

    Published 2019-01-01
    “…We propose a deterministic population-based method for a global optimization, a Newton particle optimizer (NPO). The algorithm uses the Newton method with a guiding function and drives particles toward the current best positions. …”
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  11. 31

    An Approximate Quasi-Newton Bundle-Type Method for Nonsmooth Optimization by Jie Shen, Li-Ping Pang, Dan Li

    Published 2013-01-01
    “…An implementable algorithm for solving a nonsmooth convex optimization problem is proposed by combining Moreau-Yosida regularization and bundle and quasi-Newton ideas. In contrast with quasi-Newton bundle methods of Mifflin et al. (1998), we only assume that the values of the objective function and its subgradients are evaluated approximately, which makes the method easier to implement. …”
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    Advances in Neoteric Modular Tissue Engineering Strategies in Regenerative Dentistry by Nathalie Steffy Ponce Reyes, Myrian Margarita Grijalva Palacios, Carlos Mauricio Saeteros Cárdenas, Adriana Katherine Quezada Quiñonez

    Published 2023-07-01
    “…The objective of this research is to delve into the advances in neoteric modular tissue engineering strategies in regenerative dentistry. …”
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    Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls by Jinsu He, Jinhua Wang, Jen-Chih Yao

    Published 2013-01-01
    “…Furthermore, we obtain a unified estimation of radius of convergence ball of Newton’s method on Lie groups under a generalized L-average Lipschitz condition. …”
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    Improved Newton Iterative Algorithm for Fractal Art Graphic Design by Huijuan Chen, Xintao Zheng

    Published 2020-01-01
    “…Design experiments with the help of electronic Jacquard machines proved that it is feasible to transform special texture effects based on Newton's iterative graphic design into Jacquard fractal art graphics.…”
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