Results 11 to 20 of about 8,295 (213)

Can we know what Newton's scientific method is? [PDF]

روش شناسی علوم انسانی, 2020
I have tried to retrieve Newton’s scientific method. To do so, I raise two principal questions: 1. What is Newton’s evolving scientific method that he devised in The Principia and Opticks during a period of fifty years? 2.
saeid zibakalam
doaj   +1 more source

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2019
In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K., George Santhosh, Erappa Shobha M.   +2 more
doaj   +1 more source

An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior

Open Mathematics, 2019
In this paper, we derive and analyze a new one-parameter family of modified Cauchy method free from second derivative for obtaining simple roots of nonlinear equations by using Padé approximant.
Liu Tianbao, Qin Xiwen, Li Qiuyue
doaj   +1 more source

An iterative method based on the average quadrature formula [PDF]

Computational Algorithms and Numerical Dimensions
In our research, a new third-order iterative method has been introduced. This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules.
Tusar Singh, Dwiti Behera, Shno Othman Ahmed, Rostam Saeed   +3 more
doaj   +1 more source

Chord Newton’s Method for Solving Fuzzy Nonlinear Equations

International Journal of Advanced Mathematical Sciences, 2019
In this paper, we present a new approach for solving fuzzy nonlinear equations. Our approach requires to  compute the Jacobian matrix once throughout the iterations unlike some Newton’s-like methods which needs to compute the Jacobian matrix in every iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known
openaire   +2 more sources

Numerical study of the shielding properties of a ferrofluid taking into account magnitophoresis and particle interaction

Mathematical Modelling and Analysis, 2022
Shielding properties of a cylindrical thick-walled ferrofluid layer that protects against externally applied uniform magnetic fields are numerically investigated.
Olga Lavrova, Viktor Polevikov
doaj   +1 more source

Newton's method in Riemannian manifolds

Journal of Numerical Analysis and Approximation Theory, 2008
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
doaj   +2 more sources

ENHANCING NONLINEAR EQUATION SOLUTIONS THROUGH THE COMBINATION OF VARIANT NEWTON’S AND HALLEY’S METHODS

Science Journal of University of Zakho
This work presents a new iterative method for solving single-variable nonlinear equations. The method achieves ninth-order convergence with just three derivative evaluations per step, offering both accuracy and lower computational cost.
Kazhal Mohammed Ali, Bayda Fathi
doaj   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source