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MAT-DiSMech: A Discrete Differential Geometry-Based Computational Tool for Simulation of Rods, Shells, and Soft Robots. [PDF]

Soft Robot
Lahoti R, Khalid Jawed M.
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Confidence interval construction for multivariable truncated spline logistic model (MTSLM). [PDF]

MethodsX
Suriaslan AS, Budiantara IN, Ratnasari V, Aydin D.   +3 more
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Improvements of Modified Newton-Raphson Method

Improvements of Modified Newton-Raphson Method
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Improvements of the Newton–Raphson method

Journal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim-Hung Pho
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A modified Newton–Raphson method

Communications in Numerical Methods in Engineering, 2004
AbstractIn this paper, we propose the following modified Newton–Raphson iteration formulation: In case r=1, the obtained formulation reduces to the Newton–Raphson formulation. The present technique circumvent pitfalls of the Newton–Raphson iteration method. Some examples are illustrated. Copyright © 2004 John Wiley & Sons, Ltd.
Ji-Huan He
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THE NEWTON–RAPHSON METHOD AND ADAPTIVE ODE SOLVERS [PDF]

Fractals, 2011
The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure that aims at reducing the chaotic behavior of the original method without losing the quadratic ...
Schneebeli, Hans Rudolf, Wihler, Thomas
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A generalized Newton–Raphson method using curvature

Communications in Numerical Methods in Engineering, 1995
AbstractA numerical method for finding the roots of any function is developed. This method considers a circle using the concept of curvature instead of the tangential line in the Newton‐Raphson method. The compared results between the proposed method and the Newton‐Raphson method are listed.
Lee, IW Lee, In Won, JUNG, GH JUNG, GH
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Newton Raphson Method

2010
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