Results 11 to 20 of about 28,693 (307)

Mixed Jacobi-Fourier spectral method for Fisher equation

Mathematical Modelling and Analysis, 2018
In this paper, we propose a mixed Jacobi-Fourier spectral method for solving the Fisher equation in a disc. Some mixed Jacobi-Fourier approximation results are established, which play important roles in numerical simulation of various problems defined in ...
Yujian Jiao, Tianjun Wang, Xiandong Shi, Wenjie Liu   +3 more
doaj   +3 more sources

Fourier-space generalized magneto-optical ellipsometry

, 2022
The magneto-optical Kerr effect (MOKE) is a widely used lab-based technique for the study of thin films and nanostructures, providing magnetic characterization with good spatial and temporal resolutions.
Sanz-Hernández, Dédalo, Hierro-Rodríguez, Aurelio, Cascales Sandoval, Miguel A., Donnelly, Claire, Skoric, Luka, A. Hierro-Rodríguez (14365188), L. Skoric (4902943), Fernández-Pacheco, Amalio, A. Fernández-Pacheco (14365200), D. Sanz-Hernández (14365191), Miguel A. Cascales Sandoval (14365185), C. N. Christensen (14365194), Christensen, C. N., C. Donnelly (14365197)   +13 more
core   +2 more sources

Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]

, 2013
The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M., White, Craig, Scanlon, Thomas J., Zhang, Yonghao, Scanlon, Thomas, Wu, Lei, Reese, Jason   +6 more
core   +1 more source

Analysis of the Stress State for a Layer with Two Incut Cylindrical Supports

Journal of Mechanical Engineering, 2023
The stress state of a homogeneous isotropic layer under the action of a spatial static external load is studied. Two circular cylindrical supports are cut into the body of the layer parallel to its borders.
Vitalii Yu. Miroshnikov, Oleksandr B. Savin, Mykhailo M. Hrebennikov, Vladyslav F. Demenko   +3 more
doaj   +1 more source

Compressed Sampling in Shift-Invariant Spaces Associated With FrFT

IEEE Access, 2021
Shift-invariant and sampling spaces play a vital role in the fields of signal processing and image processing. In this paper, we extend the generalized shift-invariant and sampling subspaces from the traditional sampling spaces to the compressed sampling,
Haoran Zhao, Lei Zhang, Liyan Qiao
doaj   +1 more source

A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations Based on the Fractional FFT

Fractal and Fractional, 2022
BSDEs are applied in many areas, particularly in finance and economics. In this paper, we extended the convolution method to numerically solve FBSDEs. First, a generalized θ-scheme is applied to discretize the backwards component. Second, the convolution
Kexin Fu, Xiaoxiao Zeng, Xiaofei Li, Junjie Du   +3 more
doaj   +1 more source

Light scattering calculations in planar non-homogeneous dielectric media by means of the light diffraction calculation on gratings

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2011
The generalized source method previously developed for the light diffraction calculation on periodic structures is applied for the light scattering calculation in non-periodic media.
A. Shcherbakov, A. V. Tishchenko
doaj   +1 more source

A generalized solution procedure for in-plane free vibration of rectangular plates and annular sectorial plates [PDF]

Royal Society Open Science, 2017
A generalized solution procedure is developed for in-plane free vibration of rectangular and annular sectorial plates with general boundary conditions.
Siyuan Bao, Shuodao Wang
doaj   +1 more source

Comparison of two approaches to compute magnetic field in problems with random domains [PDF]

, 2012
This paper is a postprint of a paper submitted to and accepted for publication in Science, Measurement & Technology, IET and is subject to Institution of Engineering and Technology Copyright.
MAC, Duy Hung, CLENET, Stephane, MIPO, Jean-Claude   +2 more
core   +1 more source

Generation of adaptive coordinates and their use in the Fourier Modal Method

Optics Express, 2010
We present an improvement of the standard Fourier Modal Method (FMM) for the analysis of lamellar gratings that is based on the use of automatically generated adaptive coordinates for arbitrarily shaped material profiles in the lateral plane of periodicity.
Essig, S., Busch, K.
openaire   +4 more sources