Results 41 to 50 of about 44,524 (180)

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

Advances in Difference Equations, 2021
In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in this scheme, we expand the unknown function and
H. Jafari, S. Nemati, R. M. Ganji
doaj   +1 more source

Universal Gripper for Industrial Manipulation With Enhanced Rigid Mechanics and Self‐Adaptable Fingers

Advanced Robotics Research, EarlyView.
An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid, Nirmal Kumar Ravikumar, Mattia Frascio, Sumanth Nagalakunta, Alessandro Seitone, Benoît Lévesque, Alessandro Zanella, Matteo Zoppi   +7 more
wiley   +1 more source

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

Operando X‐Ray Diffraction and Total Scattering Characterization of Battery Materials: Not Just a Pretty Picture

Advanced Energy Materials, EarlyView.
This review focuses on operando studies of battery materials by X‐ray diffraction (XRD) and total X‐ray scattering (TXS). This work highlights potential pitfalls and identify best‐practices for operando studies and reviews some unusual experiments to illustrate how these methods can be applied beyond the evaluation of the early‐stage cycling mechanisms
Amalie Skurtveit, Eira Tiberg North, Izar Capel Berdiell, Wouter Van Beek, David S. Wragg, Alexey Y. Koposov   +5 more
wiley   +1 more source

Data‐Driven High‐Throughput Volume Fraction Estimation From X‐Ray Diffraction Patterns

Advanced Intelligent Discovery, EarlyView.
Long exposure times and the need for manual evaluation limit the use of X‐ray diffraction in high‐throughput applications. This study presents a data‐driven approach addressing both issues. HiVE (a method for High‐throughput Volume fraction Estimation) performs composition estimation for high‐noise XRD patterns produced using polychromatic emission ...
Hawo H. Höfer, André Orth, Robert Wang, Ben Breitung, Simon Schweidler, Jasmin Aghassi‐Hagmann, Markus Reischl   +6 more
wiley   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source

An approximate approach for the generalized variable-order fractional pantograph equation

Alexandria Engineering Journal, 2020
This study advances variable-order (VO) fractional delay differential models in the pantograph type introduced in the Caputo sense. A method utilizing the Chebyshev cardinal functions (CCFs) is formulated to find an accurate result.
Z. Avazzadeh, M.H. Heydari, Mohammad Reza Mahmoudi   +2 more
doaj   +1 more source

Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems

Computation, 2022
The Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular and genuinely nonlinear boundary value problems.
Călin-Ioan Gheorghiu
doaj   +1 more source

Numerical Approximations Using Chebyshev Polynomial Expansions

, 2001
We present numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev ...
Aarts G, Bakshi P M, Bakshi P M, Baxley J V, Baxley J V, Berges J, Bogdan Mihaila, Bonini G F, Boyd J P, Canuto C, Clenshaw C W, Clenshaw C W, deBoor C, Delves L M, El-gendi S E, Elliott D, Elliott D, Fornberg B, Fox L, Fraser W, Funaro D, Gottlieb D, Gottlieb D, Imhof J P, Ioana Mihaila, Keldysh L V, Kerman A K, Mihaila B, Press W H, Schwinger J   +29 more
core   +1 more source

Application of the Chebyshev collocation method to solve boundary value problems of heat conduction

Discrete and Continuous Models and Applied Computational Science
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy, Stepan V. Sergeev, Dmitry S. Kulyabov, Leonid A. Sevastianov   +3 more
doaj   +1 more source