Clenshaw
Clenshaw is a surname associated with the British mathematician Charles W. Clenshaw, whose work in numerical analysis has led to important algorithms for evaluating polynomials and performing numerical integration. The name is most often encountered in two widely used methods that bear his imprint: Clenshaw’s algorithm and Clenshaw–Curtis quadrature.
Clenshaw’s algorithm is a stable technique for evaluating a finite sum in which the basis functions satisfy
Clenshaw–Curtis quadrature is a numerical integration method that uses the Chebyshev points of the first kind
Together, Clenshaw’s algorithm and Clenshaw–Curtis quadrature have had a lasting impact in numerical analysis, offering practical