Spectral Methods in Nonlinear Optics Equations for Non-Uniform Grids Using an Accelerated NFFT Scheme

Autor:	Pedro Rodríguez, Manuel Romero, Antonio Ortiz-Mora, Antonio M. Díaz-Soriano
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	spectral methods nonlinear optics non-uniform fast Fourier transform Julia language conjugate gradient algorithm Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 1, p 47 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15010047
Popis:	In this work, we propose the use of non-homogeneous grids in 1D and 2D for the study of various nonlinear physical equations using spectral methods. As is well known, the use of spectral methods allow a faster resolution of the problem via the application of the ubiquitous Fast Fourier Transform (FFT) algorithm. We will center our investigation on the search of fast and accurate schemes to solve the spectral operators in the Fourier space. In particular, we will use the Conjugate Gradient (CG) iterative method, with a preconditioning matrix to accelerate the inversion process of the non-uniform Fast Fourier Transform (NFFT). As it will be shown, the results obtained are in good agreement with the expected values.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6a9f03d3dcb640d498b2a5634c8cb1c9 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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