Generalized pseudospectral method

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August undefined, 2024

WebThis research is dedicated to the analysis and construction of an efficient method based on the Pseudospectral method for the second type of Abel's integral equation using Hermite cubic spline scaling bases (HCSSb). WebFeb 23, 2024 · This method will contribute to the understanding of harmonic emission mechanisms in complex systems, which include many atoms. ... S.I. Ab initio study of high-lying doubly excited states of helium in static electric fields: Complex-scaling generalized pseudospectral method in hyperspherical coordinates. Phys. Rev. A 2012, 86, 032506.

Numerical simulation of shallow water waves based on generalized …

WebJan 1, 2011 · Time-dependent generalized pseudospectral method for accurate treatment of multiphoton processes of diatomic molecules in intense laser fields … WebNov 21, 2024 · 现以第一作者发表论文 3 篇，其中 SCI 收录两篇，以通讯作者但非第一作者发表 SCI 一篇，以第三作者发表 SCI 一篇 [1] Yunqing Huang, Xueyang Li (通讯作者) and Aiguo Xiao, Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrodinger equation, Computers & Mathematics with Applications, Volume … note card bleachers

SPSMAT: GNU Octave software package for spectral and pseudospectral methods

WebNov 1, 2010 · The pseudo-spectral method has been used widely in the wave simulation (Carcione, 2010). Therefore, the numerical advantage of the FSD is to overcome the In order to correct the errors caused by... WebJun 15, 2024 · In Section 3, we obtain the fully discrete algorithm of the Fourier pseudospectral method on the generalized sparse grids for solving the SFSE. In … WebFirstly, theory of application of pseudospectral method on Burger–Fisher equations is presented. This method yields Burger–Fisher equation to a system of ordinary … note cannot be resolved to a type

Improved finite-difference and pseudospectral schemes for the …

WebJan 1, 2006 · Generalized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, with suitable choice of basis... WebAug 17, 2024 · The current paper concerns developing an efficient and robust numerical technique to solve the shallow water equation based on the generalized equal width model. For this aim, first, the space... how to set default timestamp in oracleWebNov 15, 1994 · A Legendre Pseudospectral Method for Solving Nonlinear Klein-Gordon Equation 121 is still controlled by the errors of data. Indeed, it means that (2.7) is of generalized stability with the index s < 0 (see[15]). Next we consider the case with (4.8). We have from Lemma 10 that G(x,t) = G(ü(x,t)) + Ř(x,t), with note card border clip art free

"WebApr 23, 2024 · Abstract. A Deuflhard-type exponential integrator sine pseudospectral (DEI-SP) method is proposed and analyzed for solving the generalized improved Boussinesq … " - Generalized pseudospectral method

Generalized pseudospectral method

Solving nonlinear differential equations in astrophysics …

WebApr 11, 2024 · Our results are in agreement with each other based on an improved finite difference and pseudospectral methods. And numerical divergences are controlled effectively based on these two independent numerical schemes. ... [21] to simulate the BD model with long-range temporally correlated noise, and generalized to the temporally … WebJun 1, 2016 · An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the weakly nonlinear ion acoustic and space-charge waves. The numerical method here is based on a Gautschi-type …

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WebJun 20, 2024 · In this paper, the Jacobi‐Gauss‐Lobatto collocation (JGL‐C) and Generalized Lagrange (GLJGLC) methods are adopted and compared to simulate the (2 + 1)‐dimensional nonlinear SG equations and it is asserted that the GLJ GL‐C method outperforms the JGL‐ C method in terms of computation speed. WebGeneralized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, …

WebAug 2, 2024 · In this paper we show that these conditions can be conveniently introduced into the generalized pseudospectral (GPS) method. Four types of balanced condition, … WebA GENERALIZED F OURIER PSEUDOSPECTRAL METHOD F OR ELASTOD YNAMICS b y JEFFREY LEONARD ORREY B. S., Ph ysics, Univ ersit y of California, 1986 M. S., Ph …

WebJan 1, 2011 · We present a numerical method based on the generalized pseudospectral discretization in prolate spheroidal coordinates and split-operator time propagation. The … Webchebyshev finite spectral method for 2-d extended boussinesq equations*主要由li yo-sheung、zhan jie-min、su wei编写，在2011年被《水动力学研究与进展b辑》收录，原文总共11页。

WebOct 11, 2024 · Pseudospectral method, among most of the existing methods, is feasible to figure out the preferred solution satisfying the control precision, which possesses the values of practical application. However, pseudospectral method consumes much time for planning attitude trajectory making it impossible for on-orbit spacecraft real-time control ...

WebMar 19, 1993 · Generalized pseudospectral methods with mappings for bound and resonance state problems. Several extensions of the pseudospectral method are made … note candlesWebFeb 2, 2016 · A generalized coordinate transformation was used to extend the multi-domain method to complex geometries. ... A novel multi-domain pseudospectral method was developed to solve the two-dimensional ... note card artworkWebOct 29, 2016 · Spectral methods using generalized Laguerre functions are proposed for second-order equations under polar (resp. spherical) coordinates in ℝ 2 (resp. ℝ 3) and fourth-order equations on the half line. Some Fourier-like Sobolev orthogonal basis functions are constructed for our Laguerre spectral methods for elliptic problems. how to set default to print in colorWebApr 1, 2024 · In this study, by combining the generalized pseudospectral method, which is a new numerical method, with the quasi-linearization method (QLM), an efficient … how to set default value in dff in oafWebJul 1, 2012 · The pseudospectral variety of these methods uses a numerical integration rule to approximate the Fourier-type coefficients of a truncated expansion in orthogonal polynomials. ... namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial differential equations. Initially, we introduce a new … how to set default tray on printerWebMay 1, 2024 · Generalized pseudospectral method: Theory and applications 1. Introduction. Many phenomena in engineering, physics, biology, medicine, and applied sciences are modeled by linear... 2. Generalized Pseudospectral Method. In classical pseudospectral … Highlights Two radial basis functions methods to approximate the solution of … The method provides the solution in a rapidly convergent series with … In this paper, we propose a numerical scheme to solve the one-dimensional … Polynomial differential quadrature method. Differential quadrature method is a … The convergence of the collocation method for Eq. (50) Theorem 2 Convergence. … Table 1, Table 2 show that the Adomain decomposition method and the … The Adomian decomposition method needs less work in comparison with the … Hence the combination of modified cubic B-spline differential quadrature method in … A review of the decomposition method and some recent results for nonlinear … The sinc–Galerkin method is used to solve the nonlinear two point boundary value … how to set default value in dropdown in aemWebOct 1, 2024 · In this study, we provide a new method, namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial … note card borders clip art