WebJul 19, 2024 · For Fourier collocation methods, the band-limiting of delta functions can be accomplished analytically. The one-dimensional delta function (positioned at the origin) … WebMar 15, 2024 · Semantic Scholar extracted view of "A fast trigonometric collocation method for some elliptic pseudodifferential equations" by Guangqing Long et al. Skip to ... representation of a compact integral operator with a smooth kernel under the Fourier basis is proposed and a fast Fourier-Galerkin method is developed for solving a class of …
[2206.01255] Compressive Fourier collocation methods for high ...
WebFeb 1, 2024 · A localized Fourier collocation method is proposed for solving certain types of elliptic boundary value problems. The method first discretizes the entire domain into a set of overlapping small ... WebAn efficient implementation of RKN-type Fourier collocation methods was discussed for some second-order differential equations [45]. A splitting Fourier pseudospectral method was proposed for Vlasov-Poisson-Fokker-Planck system [44]. In this paper, we employ Fourier collocation method and apply PML technique to carry out numerical is ice powers real
Optimal error estimates of a time-splitting Fourier pseudo …
WebMq, and its construction incorporates the idea of collocation methods, the variation-of-constants formula and the local Fourier expansion of the system. The properties of the new methods are analysed. The analysis in the paper demonstrates an impor-tant feature, namely that the trigonometric Fourier collocation methods can be of an WebJun 2, 2024 · Combining ideas from compressive sensing and spectral collocation, our method replaces the use of structured collocation grids with Monte Carlo sampling and employs sparse recovery techniques, such as orthogonal matching pursuit and $\ell^1$ minimization, to approximate the Fourier coefficients of the PDE solution. WebJul 18, 2012 · The major advantage of the collocation method is that it easier to implement, and very efficient due to the fast Fourier transform. The ease of implementation comes from the fact that the collocation approach is point-wise, which avoids many difficulties when evaluating three dimensional nonlinear terms. ken padowitz attorney