A fast algorithm to compute the moments of the exponential function for application to semiconductor modelling

Presents a fast numerical method for computing the lowest degree moments of the exponential function for a segment, square or cubic domain. An exponential function with the argument a multivariate polynomial with a maximum degree of one in each single variable is considered. These kinds of integral are encountered in exponential‐fitting finite element methods. For the 1D and 2D cases, a fast method based on the direct evaluation of the moments is used, whereas for the 3D case, a quadrature of 2D moments is considered together with some schemes based on the knowledge of the integrand function in order to improve the computational efficiency.