Gauss-Chebyshev quadrature is a numerical integration technique that uses the roots of Chebyshev polynomials as sample points to evaluate integrals, specifically for functions weighted by the Chebyshev weight function. This method is particularly effective for approximating integrals over the interval [-1, 1], making it a powerful tool for dealing with oscillatory functions or those that exhibit singular behavior at the endpoints. By combining the properties of Gaussian quadrature with Chebyshev polynomials, this technique optimizes accuracy and efficiency in numerical integration.
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