WebJun 8, 2024 · Pseudo-spectral method, also called the collocation spectral method, is a very popular method to solve PDEs owing to its rapid convergence rate and high accuracy [18, … WebThe Fourier pseudo-spectral method is employed in spatial discretization and the symplectic Runge–Kutta method is utilized for the resulting semi-discrete system to arrive at a high-order fully discrete scheme. Simultaneously, the conservation of the original multiple invariants for the schemes are rigorously proven. Numerical experiments are ...
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WebJun 1, 2024 · The Fourier pseudo-spectral method is employed for the spatial discretization [4, 5]. The resulting nonlinear system at each time level is solved by using a simple fixedpoint iteration with the... WebJan 1, 2024 · The linear subproblem is numerically solved using the Fourier spectral method, which is based on the exact solution and thus has no stability restriction on the time-step size. The nonlinear one is solved via second-order strong stability preserving Runge–Kutta method. The stability and convergence are discussed in L 2-norm. Numerical ... moha game download
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WebMar 14, 2024 · Also from SAGE Publishing. CQ Library American political resources opens in new tab; Data Planet A universe of data opens in new tab; SAGE Business Cases Real-world cases at your fingertips opens in new tab; SAGE Campus Online skills and methods courses opens in new tab; SAGE Knowledge The ultimate social science library opens in new tab; … WebAbstract References Recommended Content Abstract In this paper we develop a stability theory for the Fourier (or pseudo-spectral) method for linear hyperbolic and parabolic partial differential equations with variable coefficients. Get full access to this article View all available purchase options and get full access to this article. Get Access Webspectral and pseudo-spectral methods have been shown to provide remarkably effective spatial ... using a spectral decomposition, the stability issue is related to an analysis of the stabilities of the corresponding system of ODEs for the spectral (Fourier) modes. Theorem 3.1. For the first order ETD scheme (12) for the equation (2) with ... mohagany greeting card gary indina