WebApr 14, 2024 · Recently, Spectral Super-Resolution (SSR), which generates HS images from RGB images, has been studied in computer vision. These studies mainly employ deep … WebTest calculations confirm that these mappings significantly enhance the already highly competitive pseudospectral method with only a very small additional cost. Although the …
[2304.04454] Fourier-Gegenbauer Pseudospectral Method for …
WebMay 2, 2024 · The Chebyshev pseudospectral method is a special case of the general spectral methods, in which the functions can be expanded in terms of interpolating polynomials and the expansion coefficients are the values of the function at the Gauss quadrature node points, thereby having the best accuracy in interpolation of a function . WebApr 9, 2024 · They are widely used in many areas of numerical analysis: uniform approximation, least-squares approximation, numerical solution of ordinary and partial … role playing shooting games
A tutorial on the pseudo-spectral method - auth
Conceptually, it consists of three steps: f ( x ) , f ~ ( x ) = V ( x ) f ( x ) {\displaystyle f (x), {\tilde {f}} (x)=V (x)f (x)} are expanded in a finite set of... For a given set of basis functions, a quadrature is sought that converts scalar products of these basis functions into a... The ... See more Pseudo-spectral methods, also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. … See more The Fourier method If periodic boundary conditions with period $${\displaystyle [0,L]}$$ are imposed on the system, the basis functions can be generated by plane … See more Take the initial-value problem with periodic conditions In the spectral … See more In a more abstract way, the pseudo-spectral method deals with the multiplication of two functions $${\displaystyle V(x)}$$ and $${\displaystyle f(x)}$$ as part of a partial differential equation. To simplify the notation, the time … See more WebJun 30, 2000 · Direct trajectory optimization by a Chebyshev pseudospectral method Abstract: A Chebyshev pseudospectral method is presented in this paper for directly solving a generic optimal control problem with state and control constraints. WebA Practical Guide to Pseudospectral Methods, by Bengt Fornberg. Much more concise than Boyd's text, and in a similar vein. Much more concise than Boyd's text, and in a similar vein. The three books above are similar to PseudoSpectralPython in that they are aimed at practitioners and de-emphasize purely theoretical aspects. outback steakhouse pocatello idaho