Results 41 to 50 of about 167,440,803 (249)

Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

Mathematics, 2021
We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar, Sunil Kumar, Janak Raj Sharma, Lorentz Jantschi   +3 more
doaj   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

A dynamical systems hypothesis of schizophrenia. [PDF]

PLoS Computational Biology, 2007
We propose a top-down approach to the symptoms of schizophrenia based on a statistical dynamical framework. We show that a reduced depth in the basins of attraction of cortical attractor states destabilizes the activity at the network level due to the ...
Marco Loh, Edmund T Rolls, Gustavo Deco
doaj   +1 more source

The Cow or the Credit: Causal Relationship Between California Dairy Herd Consolidation and Anaerobic Digesters

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT The California dairy industry has experienced considerable consolidation over the past 30 years. During this period, there has also been substantial technological innovation, implementation of the state's Low Carbon Fuel Standard program, and rapid adoption of anaerobic digesters.
Michael McCullough, Jarrett Hart
wiley   +1 more source

The basins of attraction for optimal fourth-eighth order methods

Applied Mathematics on Science and Engineering
We developed a completely new, eighth- and fourth-order optimal approach for solving nonlinear equations in this study. With three function evaluations, the new methods’ convergence order is four; with four function evaluations, it is eight. Furthermore,
S. Parimala
doaj   +1 more source

Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit

Complexity, 2020
By coupling a diode bridge-based second-order memristor and an active voltage-controlled memristor with a capacitor, a three-element-based memristive circuit is synthesized and its system model is then built.
Quan Xu, Xiao Tan, Yunzhen Zhang, Han Bao, Yihua Hu, Bocheng Bao, Mo Chen   +6 more
doaj   +1 more source

Data‐Guided Photocatalysis: Supervised Machine Learning in Water Splitting and CO2 Conversion

Advanced Intelligent Discovery, EarlyView.
This review highlights recent advances in supervised machine learning (ML) for photocatalysis, emphasizing methods to optimize photocatalyst properties and design materials for solar‐driven water splitting and CO2 reduction. Key applications, challenges, and future directions are discussed, offering a practical framework for integrating ML into the ...
Paul Rossener Regonia, Christian Mark Pelicano   +1 more
wiley   +1 more source

Basins of attraction.

, 2013
This table shows the fractional sizes of the basins of attraction in the Boolean and Glass models. The data for the Glass dynamics were obtained by sampling 10,000 microscopic configurations for each of the Ω = 2N Boolean configurations, and by counting ...
Yuriria Cortes-Poza (376011), Gerardo J. Escalera Santos (376014), Maximino Aldana (136867), Diego A. Hartasánchez (376012), R. Beau Lotto (34982), Carlos Espinosa-Soto (251252), David Malkin (376013), Pablo Padilla-Longoria (376015), Elena R. Álvarez-Buylla (3265740), Álvaro Chaos (5653942), Mariana Benítez (376010)   +10 more
core   +1 more source

A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics

Discrete Dynamics in Nature and Society, 2016
We investigate the complex dynamics of a triparametric family of optimal fourth-order multiple-root solvers by analyzing their basins of attraction along with extensive study of Möbius conjugacy maps and extraneous fixed points applied to a prototype ...
Young Ik Kim, Young Hee Geum
doaj   +1 more source

Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction

Fractal and Fractional, 2022
Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of convergence.
José J. Padilla, Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa   +3 more
doaj   +1 more source