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Spectral-galerkin

http://fischerp.cs.illinois.edu/tam470/refs/galerkin2.pdf WebFeb 8, 2024 · In this work, two novel classes of structure-preserving spectral Galerkin methods are proposed which based on the Crank–Nicolson scheme and the exponential scalar auxiliary variable method ...

A modified nonlinear spectral Galerkin method for the equations …

WebFeb 1, 2024 · We first establish the Allen–Cahn type, mass-conserved phase-field model for the triblock copolymer in Section 2, and presents its law of energy dissipation. In Section … Web[3] Spectral-Galerkin algorithms using ultraspherical polynomials 363 differential equations. In Section 5 we present some numerical results. Finally, some concluding remarks are given in Section ... city of decatur texas jobs https://simul-fortes.com

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WebDec 1, 2024 · A numerical method with high accuracy both in time and in space is proposed for the two-dimensional nonlinear Riesz space fractional diffusion equation. The main idea is based on a spectral Galerkin method in spatial direction and an s-stage implicit Runge-Kutta method in temporal direction. WebPolynomial spectral methods, II See Shen, Tang, and Wang 2011, Chapter 4, Hesthaven, S. Gottlieb, and D. Gottlieb 2007, Chapters 7, 8 ... – A Legendre-Galerkin method is a Galerkin approach where !pxq“1,andwewilluse Legendre polynomials as a … Weboped an efficient spectral method for the one-dimensional fractional Laplacian on the whole line. Using the property that the Hermite functions are invari-ant under the Fourier transform, Mao and Shen [37] proposed the Hermite spectral-Galerkin method in the transformed domain based on the Fourier definition (1.1). don lind outfitter

Fully discrete Spectral-Galerkin scheme for a ternary …

Category:Fully discrete Spectral-Galerkin scheme for a ternary …

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Spectral-galerkin

Strong Convergence of Full Discretization for Stochastic …

WebJul 1, 2024 · Table 4. Errors and convergence orders of the spectral Petrov-Galerkin method compared to the L1 method for the optimal control problem governed by a time-fractional … Web, A Petrov-Galerkin finite element method for fractional convection–diffusion equations, SIAM J. Numer. Anal. 54 (1) (2016) 481 – 503. Google Scholar [25] Zheng X., Ervin V.J., …

Spectral-galerkin

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WebFeb 1, 2024 · In this paper, we present the mapped Laguerre spectral method for solving the Volterra integral equation with the noncompact kernel. And the approximate results indicate that the strategy is quietly appropriate for the problems which possess weakly singularities especially have the term of t α with α going to zero. WebThese notes provide a brief introduction to Galerkin projection methods for numerical solution of partial differential equations (PDEs). Included in this class of discretizations …

WebFeb 1, 2024 · This paper proposes a fast and efficient spectral-Galerkin method for the nonlinear complex Ginzburg–Landau equation involving the fractional Laplacian in R d.By employing the Fourier-like bi-orthogonal mapped Chebyshev function as basis functions, the fractional Laplacian can be fully diagonalized. WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the description of shallow water waves o...

WebNov 1, 1997 · We present in this paper several extremely efficient and accurate spectral-Galerkin methods for second- and fourth-order equations in polar and cylindrical geometries. These methods are based on appropriate variational formulations which incorporate naturally the pole condition (s).

WebPolynomial Galerkin methods are widely used for the numerical solution of hyperbolic conservation laws [1,2,9,10]. These methods seek a polynomial approximation of the solution for which the projected residual of the differential equation to the polynomial space vanishes. Two such classes of methods are the spectral Galerkin methods (sGM)

http://twister.caps.ou.edu/CFD2024/Chapter7.pdf don linrotheWebThe aim of this paper is to develop spectral-Galerkin algorithms whose computational complexities are quasi- optimal for second- and fourth-order equations in polar and … don lindsey tallahassee memorial hospitalWeb利用谱方法对轴对称的旋转圆柱间的Couette_Taulor流进行数值模拟· 首先给出Navier_Stokes方程流函数形式,利用Couette流把边界条件齐次化· 其次给出Stokes算子的特征函数的解析表达式,证明其正交性,并对特征值进行估计· 最后利用Stokes算子的特征函数作为逼近子空间的基函数,给出谱Galerkin逼近方程的 ... city of decatur tx city council