Berrut, Jean-Paul Elefante, Giacomo 2020-04-15 Consider the set of equidistant nodes in [0, 2π),θk:=k·2πn,k=0,⋯,n−1.For an arbitrary 2π–periodic function f(θ), the barycentric formula for the corresponding trigonometric interpolant between the θk’s isT[f](θ)=∑k=0n−1(−1)kcst(θ−θk2)f(θk)∑k=0n−1(−1)kcst(θ−θk2),where cst(·):=ctg(·) if the number of nodes n is even, and cst(·):=csc(·) if n is odd. Baltensperger [3] has shown that the corresponding barycentric rational trigonometric interpolant given by the right-hand side of the above equation for arbitrary nodes introduced in [9] converges exponentially toward f when the nodes are the images of the θk’s under a periodic conformal map. In the present work, we introduce a simple periodic conformal map which accumulates nodes in the neighborhood of an arbitrarily located front, as well as its extension to several fronts. Despite its simplicity, this map allows for a very accurate approximation of smooth periodic functions with steep gradients. application/pdf https://folia.unifr.ch/global/documents/308513 https://folia.unifr.ch/documents/308513/files/ber_pml.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2019.124924 info:eu-repo/semantics/openAccess License undefined Applied Mathematics and Computation. - 2020, vol. 371, p. 124924 info:eu-repo/classification/udc/51 A periodic map for linear barycentric rational trigonometric interpolation http://purl.org/coar/resource_type/c_6501