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Spectral Methods and Quadratures

Computational Mathematics and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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Directed Spectral Methods [PDF]

open access: possible, 2014
Barrett, Adam B, Seth, Anil K
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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 Slavič
exaly  

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