Generalized pseudospectral method

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August undefined, 2024

WebOct 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. WebJul 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 …

Improved finite-difference and pseudospectral schemes for the …

WebJan 1, 2011 · Time-dependent generalized pseudospectral method for accurate treatment of multiphoton processes of diatomic molecules in intense laser fields … WebApr 1, 2024 · In this paper, a pseudospectral method is proposed for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases. A full-discrete generalized Hermite pseudospectral scheme is constructed. Its convergence, stability and uniqueness are proved strictly. gold beach properties for sale

Numerical simulation of shallow water waves based on generalized …

WebMar 24, 2024 · The generalized pseudospectral (GPS) method was first developed by Yao and Chu [37] to calculate the one-electron bound and resonance states in both the Schrödinger and Dirac equations,... WebMar 19, 1993 · Generalized pseudospectral methods with mappings for bound and resonance state problems. Several extensions of the pseudospectral method are made … gold beach pt

Time-dependent generalized pseudospectral method for …

教师简介：李雪阳-数学与计算科学学院

WebDec 24, 2013 · The generalized pseudospectral approach to the bound states of the Hulthén and the Yukawa potentials. Pramana-J. Phys. 65, 01 (2005) Article ADS Google Scholar Sen K.D., Roy A.K.: Studies on the 3D confined potentials using generalized pseudospectral approach. Phys. Lett. A 357, 112 (2006) Article ADS Google Scholar 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 … gold beach property for saleWebNov 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 gold beach radio

"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 … " - Generalized pseudospectral method

Generalized pseudospectral method

WebOct 1, 2024 · In this study, we provide a new method, namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial … 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 …

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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. 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, …

WebThe pseudospectral solution of a third-order initial-boundary value problem is considered and accuracy is assessed by examining how well the discrete eigenproblem … 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...

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. WebApr 11, 2024 · This paper revisits the generalized pseudospectral (GPS) method on the calculation of various radial expectation values of atomic systems, especially on …

WebJan 1, 2011 · We present a numerical method based on the generalized pseudospectral discretization in prolate spheroidal coordinates and split-operator time propagation. The …

WebMay 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 … hbo max free for hbo subscribersWebFeb 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 ... hbo max free for studentsWebThis 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). gold beach pump and electricWebA 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 … hbo max free live streamWebOct 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 ... hbo max free membershipWebApr 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 … hbo max free login redditWebJan 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... hbo max free from at\\u0026t