Results 31 to 40 of about 18,385 (285)

Parareal algorithm via Chebyshev-Gauss spectral collocation method

open access: yes, 2023
We present the Parareal-CG algorithm for time-dependent differential equations in this work. The algorithm is a parallel in time iteration algorithm utilizes Chebyshev-Gauss spectral collocation method for fine propagator F and backward Euler method for coarse propagator G.
Zhou, Quan, Liu, Yicheng, Wu, Shu-Lin
openaire   +2 more sources

A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]

open access: yes, 2008
This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
core   +2 more sources

On the Trail of Creativity: Dimensionality of Divergent Thinking and Its Relation With Cognitive Abilities, Personality, and Insight

open access: yesEuropean Journal of Personality, EarlyView., 2020
Abstract Divergent thinking (DT) is an important constituent of creativity that captures aspects of fluency and originality. The literature lacks multivariate studies that report relationships between DT and its aspects with relevant covariates, such as cognitive abilities, personality traits (e.g. openness), and insight. In two multivariate studies (N 
S. Weiss   +6 more
wiley   +1 more source

Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations

open access: yesMathematics
Emerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems ...
Dibyendu Adak   +4 more
doaj   +1 more source

Two Chebyshev Spectral Methods for Solving Normal Modes in Atmospheric Acoustics

open access: yesEntropy, 2021
The normal mode model is important in computational atmospheric acoustics. It is often used to compute the atmospheric acoustic field under a time-independent single-frequency sound source.
Yongxian Wang   +4 more
doaj   +1 more source

Ferroelectric Devices for In‐Memory and In‐Sensor Computing

open access: yesAdvanced Science, EarlyView.
Inspired by biological systems, in‐memory and in‐sensor computing overcome von Neumann bottlenecks. Ferroelectric devices can mimic synaptic functions and sense stimuli like light or force, therefore are ideal for these paradigms. This review introduces the ferroelectric devices applied for in‐memory and in‐sensor computing, covering their structures ...
Hong Fang   +5 more
wiley   +1 more source

Pseudospectral method for semilinear partial functional differential equations [PDF]

open access: yesOpuscula Mathematica, 2010
We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N ...
Wojciech Czernous
doaj   +1 more source

Multi-domain multivariate spectral collocation method for (2+1) dimensional nonlinear partial differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The novelty of this work rests upon the use of the domain partitioning technique in time variable when discretizing the domain of solution in spectral collocation algorithm.
M.P. Mkhatshwa, M. Khumalo, P.G. Dlamini
doaj   +1 more source

Black hole evolution with the BSSN system by pseudo-spectral methods [PDF]

open access: yes, 2006
We present a new pseudo-spectral code for the simulation of evolution systems that are second order in space. We test this code by evolving a non-linear scalar wave equation.
Tichy, Wolfgang
core   +2 more sources

CrossMatAgent: AI‐Assisted Design of Manufacturable Metamaterial Patterns via Multi‐Agent Generative Framework

open access: yesAdvanced Intelligent Discovery, EarlyView.
CrossMatAgent is a multi‐agent framework that combines large language models and diffusion‐based generative AI to automate metamaterial design. By coordinating task‐specific agents—such as describer, architect, and builder—it transforms user‐provided image prompts into high‐fidelity, printable lattice patterns.
Jie Tian   +12 more
wiley   +1 more source

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