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High‐resolution numerical simulations of electrophoresis using the Fourier pseudo‐spectral method

ELECTROPHORESIS, 2020
AbstractWe present the formulation, implementation, and performance evaluation of the Fourier pseudo‐spectral method for performing fast and accurate simulations of electrophoresis. We demonstrate the applicability of this method for simulating a wide variety of electrophoretic processes such as capillary zone electrophoresis, transient ...
Prateek Gupta, Supreet Singh Bahga
openaire   +2 more sources

Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein–Gordon–Dirac system

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Liao, Fazhan Geng, Tingchun Wang
openaire   +2 more sources

An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator

International Journal of Computer Mathematics, 2020
In this study, we design and analyse an efficient and accurate Fourier pseudo-spectral method for solving the nonlinear Schrodinger equation with wave operator (NLSW).
Shan Li   +3 more
openaire   +1 more source

The Fourier pseudo-spectral method for the SRLW equation

Applied Mathematics and Mechanics, 1989
In this paper we present a Fourier pseudo-spectral method with a restraint operator for the SRLW equation. We prove the stability of the schemes and give optimum error estimates.
Zheng Jia-dong, Zhang Ru-fen, Guo Ben-yu
openaire   +1 more source

Modeling infrasound propagation using the Fourier pseudo-spectral method.

The Journal of the Acoustical Society of America, 2011
As part of an undergoing effort to model infrasound propagation in the atmosphere, a pseudospectral time-domain method is employed to solve the linearized equations of thermo-viscous compressible gas dynamics in a two dimensional stratified atmosphere over a flat rigid ground surface.
Roger Waxler, Doru Velea
openaire   +1 more source

A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation, 2023
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Fatemeh Abdolabadi   +2 more
openaire   +1 more source

Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method

Numerical Algorithms, 2014
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Yingnan Zhang, Xing-Biao Hu, Hon-Wah Tam
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Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation

Journal of Computational Physics, 2020
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Tingchun Wang, Jialing Wang, Boling Guo
openaire   +1 more source

A dissipative finite difference Fourier pseudo-spectral method for the Klein-Gordon-Schrödinger equations with damping mechanism

Applied Mathematics and Computation, 2020
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Bingquan Ji, Luming Zhang
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A structure-preserving and variable-step BDF2 Fourier pseudo-spectral method for the two-mode phase field crystal model

Mathematics and Computers in Simulation, 2023
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Dongfang Li   +3 more
openaire   +1 more source

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