Results 51 to 60 of about 20,047 (287)

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

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

, 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

‘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

Chebyshev collocation method for solving second order ODEs using integration matrices

Discrete and Continuous Models and Applied Computational Science, 2023
The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an expansion in Chebyshev polynomials. The approach allows a stable calculation of
Konstantin P. Lovetskiy, Dmitry S. Kulyabov, Leonid A. Sevastianov, Stepan V. Sergeev   +3 more
doaj   +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

An ultraspherical product integration-spectral collocation method for multidimensional partial Volterra integro-differential equations and its convergence analysis

Results in Applied Mathematics
We present a reliable numerical method for solving multidimensional partial Volterra integro-differential equations (PVIDEs). This comprehensive approach integrates techniques from product integration, the Nyström method, and spectral collocation, all ...
Saman Bagherbana, Jafar Biazar, Hossein Aminikhah   +2 more
doaj   +1 more source

Operational matrix method to solve nonlinear reaction-advection-diffusion equation in fractional order system

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the present paper, a numerical scheme is discussed to solve one-dimensional nonlinear diffusion equation of fractional order in which collocation is performed using the Lucas operational matrix.
Craciun E-M., Singh M.
doaj   +1 more source

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

, 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

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