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
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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