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Spectral Methods

2018
Thenumerical solution of ordinary differential equations (ODEs)with boundary conditions is studied here. Functions are approximated by polynomials in a Chebychev basis. Sections then cover spectral discretization, sampling, interpolation, differentiation, integration, and the basic ODE.
openaire   +1 more source

Directed Spectral Methods [PDF]

open access: possible, 2014
Barrett, Adam B, Seth, Anil K
openaire   +1 more source

The ultraspherical spectral element method

Journal of Computational Physics, 2021
Daniel Fortunato   +2 more
exaly  

Spectral Methods

2004
Spectral methods represent a family of methods for the numerical approximation of partial differential equations. Their common denominator is to rely on high-order polynomial expansions, notably trigonometric polynomials for periodic problems, and orthogonal Jacobi polynomials for nonperiodic boundary-value problems.
C. Canuto, QUARTERONI, ALFIO MARIA
openaire   +3 more sources

Spectral grouping using the nystrom method

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2004
Serge Belongie   +2 more
exaly  

Bayesian spectral deconvolution with the exchange Monte Carlo method

Neural Networks, 2012
Kenji Nagata   +2 more
exaly  

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

Journal of Computational Physics, 2017
Yuezheng Gong   +2 more
exaly  

A new spectral-homotopy analysis method for the MHD Jeffery–Hamel problem

Computers and Fluids, 2010
Precious Sibanda, Stanford Shateyi
exaly  

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