ChebCoInt swMATH ID: 32042 Software Authors: De Marchi, Stefano; Vianello, Marco Description: Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. The action of various one-dimensional integral operators, discretized by a suitable quadrature method, can be compressed and accelerated by means of Chebyshev series approximation. Our approach has a different conception with respect to other well-known fast methods: its effectiveness rests on the “smoothing effect” of integration, and it works in linear as well as nonlinear instances, with both smooth and nonsmooth kernels. We describe a Matlab toolbox which implements Chebyshev-like compression of discrete integral operators, and we present several numerical tests, where the basic (O(n^2)) complexity is shown to be reduced to (O(mn)), with (mll n). Homepage: https://www.math.unipd.it/~demarchi/software.html Dependencies: Matlab Keywords: Chebyshev series expansion; compression; fast evaluation; quadrature method; Matlab toolbox; discrete integral operators; numerical tests Related Software: Matlab; Chebfun; Cubpack++; KELLEY Cited in: 4 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145De Marchi, Stefano; Vianello, Marco 2001 Cited by 4 Authors 2 De Marchi, Stefano 2 Sommariva, Alvise 2 Vianello, Marco 1 Zanovello, Renato Cited in 2 Serials 3 Numerical Algorithms 1 Applied Mathematics and Computation Cited in 3 Fields 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) Citations by Year