Results 151 to 160 of about 571 (177)

A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential

Journal of Computational Physics
We propose a Lawson-time-splitting extended Fourier pseudospectral (LTSeFP) method for the numerical integration of the Gross-Pitaevskii equation with time-dependent potential that is of low regularity in space.
Chushan Wang
exaly   +2 more sources

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Fourier Pseudospectral Method for Trajectory Optimization with Stability Requirements

Journal of Guidance, Control, and Dynamics, 2020
Periodic trajectories that satisfy stability-based requirements are useful in many engineering applications.
Dhruv Laad, Purnanand Elango, Ranjith Mohan   +2 more
openaire   +1 more source

Optimal choice of grid points in multidimensional pseudospectral fourier methods

Journal of Computational Physics, 1988
The authors show that for multidimensional pseudospectral Fourier methods sampling efficiency is improved by using a skewed grid derived from a dense packing of spheres rather than a rectangular grid. A considerable gain is found for the five-dimensional Laplacian and for a pair of hydrogen atoms.
Bisseling, R. H., Kosloff, R.
openaire   +1 more source

A pseudospectral Fourier method for a 1D incompressible two‐fluid model

International Journal for Numerical Methods in Fluids, 2008
AbstractThis paper presents an accurate and efficient pseudospectral (PS) Fourier method for a standard 1D incompressible two‐fluid model. To the knowledge of the authors, it is the first PS method developed for the purpose of modelling waves in multiphase pipe flow.
Holmås, H., Clamond, D., Langtangen, H. P.   +2 more
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The parallel Fourier pseudospectral method

Journal of Computational Physics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation

Communications in Computational Physics, 2014
In this paper, we derive a multi-symplectic Fourier pseudospectral scheme for the Kawahara equation with special attention to the relationship between the spectral differentiation matrix and discrete Fourier transform. The relationship is crucial for implementing the scheme efficiently. By using the relationship, we can apply the Fast Fourier transform
Yuezheng Gong, Jiaxiang Cai, Yushun Wang
openaire   +1 more source

Fourier pseudospectral methods for 2D Boussinesq-type equations

Ocean Modelling, 2012
Abstract A global Fourier pseudospectral method is presented and used to solve a dispersive model of shallow water wave motions. The model equations under consideration are from the Boussinesq hierarchy of equations, and allow for appropriate modeling of dispersive short-wave phenomena by including weakly non-hydrostatic corrections to the ...
D.T. Steinmoeller, M. Stastna, K.G. Lamb
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A comparison of fourier pseudospectral methods for the solution of the Korteweg-de Vries equation

Journal of Computational Physics, 1989
The paper deals with some numerical approaches to obtain a solution of the Korteweg-de Vries equation \(u_ t+6uu_ x+u_{xxx}=0\) over a time interval from \(t=0\) to \(t=T\) with initial conditions which match the analytic 1-soliton and 2-soliton solutions.
Nouri, F. Z., Sloan, D. M.
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Fourier-matching pseudospectral modal method for diffraction gratings: comment

Journal of the Optical Society of America A, 2012
Recently two variants of a pseudospectral modal method were developed for analyzing lamellar diffraction gratings: [J. Lightwave Technol. 27, 5151 (2009)] and [J. Opt. Soc. Am. A 28, 613 (2011)]. Both of them divide the computational domain into nonoverlapping subdomains and replace the spatial derivative in the Helmoltz equation by a differentiation ...
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Thermal Boundary Condition of First Type in Fourier Pseudospectral Method

2015
The purpose of this paper is to extend a novel numerical methodology, combining thermal immersed boundary and Fourier pseudospectral methods called IMERSPEC. This methodology has been developed for incompressible fluid flow problems modeled using Navier-Stokes, mass and energy equations. The numerical algorithm consists of Fourier pseudospectral method
D. Kinoshita, A. da Silveira Neto, F. P. Mariano, R. A. P. Silva   +3 more
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