Spectral-galerkin

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August undefined, 2024

WebMay 24, 2016 · In this paper, a Jacobi spectral Galerkin method is developed for nonlinear Volterra integral equations (VIEs) of the second kind. The spectral rate of convergence for the proposed method is established in the L∞-norm and the weighted L2-norm. Global superconvergence properties are discussed by iterated Galerkin methods. Numerical … 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., Wang H., Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval, J. Sci. Comput. 86 ...

[PDF] Efficient Spectral-Galerkin Methods III: Polar and Cylindrical ...

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 ... WebJul 25, 2006 · Abstract. We present in this paper several extremely efficient and accurate spectral-Galerkin methods for second- and fourth-order equations in polar and cylindrical … flight and car rental deals

Numerical issues in the implementation of high order …

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) WebJan 1, 2024 · In this paper, we aim to develop a fully-discrete Spectral-Galerkin scheme for the anisotropic phase-field model, which is formulated by coupling the Cahn–Hilliard … WebA modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin–Voigt fluids flight and car rental package deals

On Spectral Petrov–Galerkin Method for Solving Optimal

Spectral-galerkin

WebJun 1, 2024 · A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems. In this paper we propose … 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 …

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Web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 ... 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 …

WebT1 - Spectral/hp discontinuous Galerkin methods for computational hydraulics. AU - Eskilsson, Claes. PY - 2005. Y1 - 2005. N2 - The propagation and evolution of surface gravity waves were studied by using the spectral version of the discontinuous Galerkin method. It was observed that the spectral/hp element approach can generate computationally ... 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).

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. Webtion of spectral methods. Recently, Shen [17] introduced an efﬁcient spectral dual-Petrov-Galerkin method for third and higher odd-order differential equations, and pointed out that the basis functions used in [17], which are compact combina-tions of Legendre polynomials, can be viewed as generalized Jacobi poly-

WebIntroduction to Finite and Spectral Element Methods Using MATLAB - Jan 08 2024 Incorporating new topics and original material, Introduction to Finite and Spectral Element …

WebMar 1, 2024 · In this study, the spectral Galerkin approach in combination with the properties of shifted Legendre polynomials is used to reduce such equations to systems of algebraic equations, which are solved using any suitable solver. As far as the authors know, this is the first attempt to deal with fractional pantograph equations via spectral Galerkin ... chemical goggles ansiWebFeb 1, 2024 · In this paper, we investigate a spectral Petrov-Galerkin method for an optimal control problem governed by a two-sided space-fractional diffusion-advection-reaction … flight and car package to vegasWebSep 1, 2024 · In this paper, we develop a fully discrete spectral-Galerkin linear scheme for the square phase-field crystal model. The scheme is constructed based on the combination of spectral-Galerkin method and IEQ method and has second-order accuracy in time and spectral accuracy in space. Furthermore, the scheme is very easy to implement and can … chemical grades listWebDec 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. chemical gloves nsn armyWeb• Spectral method uses orthogonal Fourier series (in term of sine-cosine or e-ikx ) as the basis function. • Other local basis functions can be chosen, e.g., piecewise linear basis … flight and car rental packages miamiWebSep 4, 2024 · Abstract: In this paper, we investigate a spectral Petrov-Galerkin method for fractional initial value problems. Singularities of the solution at the origin inherited from … flight and car rental comboWebWe discretize the equation by exploiting the spectral Galerkin method in space and a temporal accelerated implicit Euler method. Based on optimal regularity estimates of both … flight and car rentals for florida