Artigo
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
Fecha
2009-03-01Registro en:
Journal of Mathematical Chemistry. New York: Springer, v. 45, n. 3, p. 769-775, 2009.
0259-9791
10.1007/s10910-008-9381-8
WOS:000264485200009
2105396012022450
8498310891810082
0000-0002-7984-5908
Autor
Universidade Estadual Paulista (Unesp)
Resumen
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which can be easily computed from three-term recurrence relations. It is noticed that such approaches are equivalent to the one established by the Gauss quadrature formula and it can be seen that the coefficients in the quadrature formula can be given as a function of the coefficients in the recurrence relations. An analysis of the relative error percentages in the approximations is also presented.