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

• Guido E. Sartoris ^[1]
  1. [1] Technikum Winterthur Ingenieurschule, Suiza
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 16, Nº 1, 1997, págs. 17-30
• Idioma: inglés
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• Resumen

  • 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.