Results 271 to 280 of about 20,962 (291)

On the L^∞ convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations, 2020
AbstractIn this paper, we take the space fractional nonlinear Schrödinger as an example to establish the L∞ convergence error analysis for the conservative Fourier pseudo‐spectral method, which has not been studied. We introduce a new fractional Sobolev norm to construct the discrete fractional Sobolev space, and also prove some important lemmas for ...
Zhuangzhi Xu, Wenjun Cai, Chaolong Jiang, Yushun Wang   +3 more
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Accelerated Pseudo-Spectral Method of Self-Consistent Field Theory via Crystallographic Fast Fourier Transform

Macromolecules, 2020
Self-consistent field theory (SCFT) has been proven as one of the most successful methods for studying the phase behavior of block copolymers.
Yicheng Qiang, Weihua Li
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A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

Advances in Applied Mathematics and Mechanics, 2023
Summary: This paper aims to build a new framework of convergence analysis of conservative Fourier pseudo-spectral method for the general nonlinear Schrödinger equation in two dimensions, which is not restricted that the nonlinear term is mere cubic. The new framework of convergence analysis consists of two steps.
Wang, Jialing, Wang, Tingchun, Wang, Yushun   +2 more
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Wave2D: a computer program for SH seismic wave propagation in heterogeneous media by the Fourier pseudo-spectral method

, 2006
– A numerical code is introduced for SH seismic wave propagation in heterogeneous linear-viscoelastic media, based on the pseudo-spectral Fourier method. The program is freely accessible on the Internet and runs under Matlab environment.
PAOLUCCI, ROBERTO, SPINELLI, DIANA ELISABETTA   +1 more
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A Hybrid SBP-SAT/Fourier Pseudo-spectral Method for the Transient Wigner Equation Involving Inflow Boundary Conditions

Journal of Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhangpeng Sun, Wenqi Yao, Qiuping Yu
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A flexible B-spline-Fourier pseudo-spectral method with applications to nonlinear waves

Nonlinear waves often exhibit critical interior physics, such as shock formation, self-focusing, and soliton evolution, demanding high-fidelity numerical schemes to simulate. Existing pseudo-spectral methods have structural limitations: Fourier methods are restricted to periodic domains, while Chebyshev methods suffer from resolution mismatch and ...
Dongan Li, Mou Lin, Shunxiang Cao, Shengli Chen   +3 more
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Pseudo-spectral fourier method as applied to finding localized spherical soliton solutions of (3 + 1)-dimensional Klein–Gordon equations

Computational Mathematics and Mathematical Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekomasov, E. G., Salimov, R. K.
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Computational Simulation of a Plane Channel with Spalart-Allmaras Turbulence Model and Fourier Pseudo-Spectral Method

Ibero-Latin American Congress on Computational Methods in Engineering (CILAMCE)
The majority of fluid flows encountered in nature and practical applications are turbulent, characterized primarily by a broad range of scales, from large structures influenced by flow geometry to small structures determined by fluid viscosity. Turbulence is a topic of significant relevance in engineering across various sectors.
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Energy Maximization Absorption of Wave Energy Converter Based on Fourier Pseudo-Spectral Method and Adaptive Dynamic Programming

The International Journal of Intelligent Control and Systems
In this paper, a novel noncausal control framework to address the energy maximization problem of wave energy converters (WECs) with physical constraints is proposed. The energy maximization problem of WECs is a constrained optimal control problem. The proposed control framework converts this problem into a reference trajectory-tracking problem through ...
Xinyu Bao, Zhen Chen, Ming Li
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On the L∞ convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations, 2021
Zhuangzhi Xu, Wenjun Cai, Chaolong Jiang   +2 more
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