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

Abstract

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.

Citation

Sartoris, G.E. (1997), "A fast algorithm to compute the moments of the exponential function for application to semiconductor modelling", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 16 No. 1, pp. 17-30. https://doi.org/10.1108/03321649710163734