Results 71 to 80 of about 11,225 (259)

Newton’s Method and Chaotic Behavior

, 2019
This project will explore why, when using an iterative algorithm, specifically Newton’s Method, to solve nonlinear equations, certain functions can be observed to behave predictably while others behave chaotically.
Manculich, Aubrey
core  

A Disaggregation Strategy for Nanopesticide Fabrication: Investigating the Impact of Nanosizing on Pesticide Biointeractions

Advanced Science, EarlyView.
To explore the impact of nanosizing on pesticide biointeractions, a 7‐nm (average) emamectin benzoate nanopesticide without nanocarriers or surfactants is fabricated via HOAc‐mediated disaggregation. Nanosizing enhances bioactivity against Megalurothrips usitatus and Meloidogyne enterolobii and improves plant penetration.
Jiaqi Wei, Jianxin Feng, Huiting Zhu, Kunzhong Lin, Chenhan Liu, Lin Li, Zhuoyan Xiao, Daihao Huang, Rong Liu, Huipeng Pan, Lingda Zeng, Hanhong Xu   +11 more
wiley   +1 more source

Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods

International Journal of Mathematics and Mathematical Sciences, 2001
In 1977 Hubbard developed the ideas of Cayley (1879) and solved in particular the Newton-Fourier imaginary problem. We solve the Newton-Fourier and the Chebyshev-Fourier imaginary problems completely.
Anna Tomova
doaj   +1 more source

Modified Newton’s method for systems of nonlinear equations with singular Jacobian

, 2009
It is well known that Newton’s method for a nonlinear system has quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution.
Hueso, José L., Martínez, Eulalia, Torregrosa, Juan R.   +2 more
core   +1 more source

AI‐Physics‐Experiment Trinity for Integrated Protein Dynamics Modeling

Advanced Science, EarlyView.
This review unites experiments, physics‐based simulations, and AI as a synergistic triad for protein dynamics modeling. It highlights integrative strategies, resolves sampling and forcefield bottlenecks, and outlines challenges and future directions for accurate, interpretable conformational ensemble prediction.
Chen Shi, Minying Low, Peng Xiu, Kresten Lindorff‐Larsen, Yong Wang   +4 more
wiley   +1 more source

A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, we apply three numerical methods to study the L∞-convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand side.
M. Bahi, M. Beggas, N. Nesba, A. Imtiaz
doaj   +1 more source

Convergence Rates for Newton’s Method at Singular Points [PDF]

, 1983
If Newton’s method is employed to find a root of a map from a Banach space into itself and the derivative is singular at that root, the convergence of the Newton iterates to the root is linear rather than quadratic.
Keller, H. B., Kelley, C. T., Decker, D. W.   +2 more
core  

In‐Process Magnetization for 3D Printing of Magnetorheological Elastomer with Heterogeneous Magnetic Profile for Anisotropic Actuation

Advanced Science, EarlyView.
Fully programmable, in‐process 3D magnetization integrated with multi‐material printing enables soft magnetic systems with precise actuation and sensing. Discrete and continuous magnetization profiles drive bending, morphing, and locomotion, demonstrated through strain‐sensing elements, dragonfly‐inspired wings, octopus‐like tentacles, and a serpentine
Phillip Glass, David Hassouna, Udena Epitawala Arachchige, Hyeon Yun Jeong, Sung Hyun Park, Daeha Joung   +5 more
wiley   +1 more source

An outline of Celestino Cominale’s (1722–1785) critique of Isaac Newton’s natural philosophical method

Galilæana
This essay examines Celestino Cominale’s (1722–1785) self-proclaimed ‘anti-Newtonianism’. Between 1754 and 1770, Cominale published four volumes under the title of Anti-Newtonianismi, in which he launched a sustained attack on Newton’s natural ...
Steffen Ducheyne, Bianca Burani
doaj   +1 more source

A semi-local convergence theorem for a robust revised Newton’s method

, 2009
It is well known that Newton’s iteration will abort due to the overflow if the derivative of the function at an iterate is singular or almost singular. In this paper, we study a robust revised Newton’s method for solving nonlinear equations, which can be
Wang, Zhengyu, Wu, Xinyuan
core   +1 more source