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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

Spectral methods to solve nonlinear problems: A review

Partial Differential Equations in Applied Mathematics, 2021
Sabyasachi Mondal
exaly  

Vibration fatigue by spectral methods—A review with open-source support

Mechanical Systems and Signal Processing, 2023
Miha Boltežar, Janko Slavic
exaly  

A review of the application of spectral methods in computational ocean acoustics

Physics of Fluids, 2023
Houwang Tu, Yong-Xian Wang, Guojun Xu
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   +4 more sources

Advanced spectral methods for climatic time series

Reviews of Geophysics, 2002
Michael Ghil   +2 more
exaly  

Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems

Optimization Methods and Software, 2003
William La Cruz, Marcos Raydan
exaly  

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