Solving the 3D MHD equilibrium equations in toroidal geometry by Newton’s method

2006 ◽  
Vol 211 (1) ◽  
pp. 99-128 ◽  
Author(s):  
H.J. Oliver ◽  
A.H. Reiman ◽  
D.A. Monticello
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Equilibrium Equations ◽  
Mhd Equilibrium ◽  
Toroidal Geometry

Computation of the Pressure Distribution in Hydrodynamic Bearings Using Newton’s Method

2004 ◽  
Vol 126 (2) ◽  
pp. 404-407 ◽  
Author(s):  
Lars Johansson and ◽  
Ha˚kan Wettergren
Keyword(s):  
Pressure Distribution ◽  
Newton Method ◽  
Newton’S Method ◽  
Newton's Method ◽  
Reynolds Equation ◽  
Usual Sense ◽  
System Of Equations ◽  
Equilibrium Equations ◽  
Hydrodynamic Bearings

In this paper an algorithm is developed where Reynolds’ equation, equilibrium equations and non-negativity of pressure are formulated as a system of equations, which are not differentiable in the usual sense. This system is then solved using Pang’s Newton method for B-differentiable equations.

Optimal Power Flow Using Newton’s Method

2012 ◽  
Vol 3 (2) ◽  
pp. 167-169
Author(s):  
F.M.PATEL F.M.PATEL ◽  
◽  
N. B. PANCHAL N. B. PANCHAL
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Optimal Power

An Efficient Sixth-Order Convergent Newton-Type Iterative Method for Nonlinear Equations

2012 ◽  
Vol 220-223 ◽  
pp. 2585-2588
Author(s):  
Zhong Yong Hu ◽  
Fang Liang ◽  
Lian Zhong Li ◽  
Rui Chen
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Efficiency Index ◽  
Sixth Order ◽  
Type Method ◽  
Second Derivatives ◽  
Better Than

In this paper, we present a modified sixth order convergent Newton-type method for solving nonlinear equations. It is free from second derivatives, and requires three evaluations of the functions and two evaluations of derivatives per iteration. Hence the efficiency index of the presented method is 1.43097 which is better than that of classical Newton’s method 1.41421. Several results are given to illustrate the advantage and efficiency the algorithm.

scholarly journals A Hybrid Approach for Solving Systems of Nonlinear Equations Using Harris Hawks Optimization and Newton’s Method

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Rami Sihwail ◽  
Obadah Said Solaiman ◽  
Khairuddin Omar ◽  
Khairul Akram Zainol Ariffin ◽  
Mohammed Alswaitti ◽  
...  
Keyword(s):  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Hybrid Approach ◽  
Systems Of Nonlinear Equations

scholarly journals On the speed of convergence of Newton’s method for complex polynomials

2015 ◽  
Vol 85 (298) ◽  
pp. 693-705 ◽  
Author(s):  
Todor Bilarev ◽  
Magnus Aspenberg ◽  
Dierk Schleicher
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Speed Of Convergence ◽  
Complex Polynomials

Fooling Newton's Method as Much as One Can

2009 ◽  
Vol 82 (2) ◽  
pp. 134-135 ◽  
Author(s):  
Jorma K. Merikoski ◽  
Timo Tossavainen
Keyword(s):  
Newton’S Method ◽  
Newton's Method
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