Results 41 to 50 of about 18,385 (285)

A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2000
A Legendre spectral collocation method is presented for the solution of the biharmonic equation. Linear combinations of Legendre polynomials proposed by \textit{J. Shen} [SIAM J. Sci. Comput. 15, No. 6, 1489--1505 (1994; Zbl 0811.65097)] are used for approximation.
Bialecki, Bernard, Karageorghis, Andreas
openaire   +2 more sources

VAE+DDPG: An Attention‐Enhanced Variational Autoencoder for Deep Reinforcement Learning‐Based Autonomous Navigation in Low‐Light Environments

Advanced Intelligent Systems, EarlyView.
Variational Autoencoder+Deep Deterministic Policy Gradient addresses low‐light failures of infrared depth sensing for indoor robot navigation. Stage 1 pretrains an attention‐enhanced Variational Autoencoder (Convolutional Block Attention Module+Feature Pyramid Network) to map dark depth frames to a well‐lit reconstruction, yielding a 128‐D latent code ...
Uiseok Lee, Chanhong Hwang, Hyunseok Kang, Yechan Park, Hangwoo Jin, Tuan Anh Nguyen, Eunmi Choi, Dugki Min   +7 more
wiley   +1 more source

Non-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo–Hadamard Differential Equations

Fractal and Fractional
In this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo–Hadamard differential equations. Since the Caputo–Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual ...
Mahmoud A. Zaky, Ibrahem G. Ameen, Mohammed Babatin, Ali Akgül, Magda Hammad, António M. Lopes   +5 more
doaj   +1 more source

A multigrid perspective on the parallel full approximation scheme in space and time

, 2016
For the numerical solution of time-dependent partial differential equations, time-parallel methods have recently shown to provide a promising way to extend prevailing strong-scaling limits of numerical codes. One of the most complex methods in this field
Bolten, Matthias, Moser, Dieter, Speck, Robert   +2 more
core   +1 more source

An effective spectral collocation method for the direct solution of high-order ODEs [PDF]

, 2006
This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This
Mai-Duy, Nam
core   +2 more sources

‘It's all very well having a diverse curriculum, but if there is no curriculum, it can be as diverse as you like’: Precarity and decolonising in the neoliberal UK higher education system

British Educational Research Journal, EarlyView.
Abstract Drawing upon interview research across two academic departments as part of the early stages of a ‘decolonise the curriculum’ initiative at a Southern UK university, this study highlights a growing gulf between policy and practice in efforts to address systemic racial inequalities in UK universities. A reliance upon precarious labour, a culture
Triona Fitton, Barbara Adewumi, Laura R. Bailey, Jacob W. Moore, Lauren‐Marie Aba Amoah   +4 more
wiley   +1 more source

Conformal Maps to Multiply-Slit Domains and Applications [PDF]

, 2008
By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed rational spectral method [Tee and Trefethen, 2006] is able to solve PDEs with interior layer-like behaviour using significantly fewer collocation points ...
Hale, N., Tee, T. W.
core  

Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method

, 2011
We present the first numerical code based on the Galerkin and Collocation methods to integrate the field equations of the Bondi problem. The Galerkin method like all spectral methods provide high accuracy with moderate computational effort.
Boyd J, Canuto C, Canuto C, E L Rodrigues, Finlayson B A, Fronberg B, Gottlieb D, Grandclément P Novak J, Gómez R Barreto W Frittelli S, H P de Oliveira, Holmes P, Peyert R, Siebel F, Winicour J, York J W Smarr L L   +14 more
core   +1 more source

Phenazine‐Based Synthetic Biology to Signal Between Cells and Electrodes

Biotechnology and Bioengineering, EarlyView.
ABSTRACT Bioelectronic systems that enable seamless communication between electronic devices and living systems represent a transformative frontier in biotechnology. Among available methodologies, redox based signaling offers unique advantages due to its ubiquity in biology and compatibility with standard electrochemical equipment, expanding on ...
Eric VanArsdale, Monica Chu, Sally Wang, Divya Muthusamy, Eric Wold, Yi Liu, G. F. Payne, Tanya Tschirhart, W. E. Bentley   +8 more
wiley   +1 more source

Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains [PDF]

Communications in Computational Physics, 2018
This work is concerned with spectral collocation methods for fractional PDEs in unbounded domains. The method consists of expanding the solution with proper global basis functions and imposing collocation conditions on the Gauss-Hermite points. In this work, two Hermite-type functions are employed to serve as basis functions.
Tang, Tao, Yuan, Huifang, Zhou, Tao
openaire   +3 more sources