TY - EJOU AU - Kurbaša, Nives Brajčić AU - Gotovac, Blaž AU - Kozulić, Vedrana TI - Atomic Exponential Basis Function Eup(x,ω) - Development and Application T2 - Computer Modeling in Engineering \& Sciences PY - 2016 VL - 111 IS - 6 SN - 1526-1506 AB - This paper presents exponential Atomic Basis Functions (ABF), which are called Eup(x,ω). These functions are infinitely differentiable finite functions that unlike algebraic up(x) basis functions, have an unspecified parameter - frequency w. Numerical experiments show that this class of atomic functions has good approximation properties, especially in the case of large gradients (Gibbs phenomenon). In this work, for the first time, the properties of exponential ABF are thoroughly investigated and the expression for calculating the value of the basis function at an arbitrary point of the domain is given in a form suitable for implementation in numerical analysis. Application of these basis functions is shown in the function approximation example. The procedure for determining the best frequencies, which gives the smallest approximation error in terms of the least squares method, is presented. KW - Exponential atomic basis function KW - Fourier transform KW - compact support KW - frequency DO - 10.3970/cmes.2016.111.493