EXPRESS rack analytical integration

2001 ◽  
Author(s):  
Walter Schneider ◽  
Carole McLemore ◽  
Thomas Danford
Keyword(s):  
Analytical Integration

scholarly journals CALCULATION OF GRAVITY EFFECTS OF TRIDIMENSIONAL STRUCTURES BY ANALYTICAL INTEGRATION OF A POLYHEDRIC APPROXIMATIN AND APPLICATIN TO THE INVERSE PROBLEM

1987 ◽  
Vol 26 (3) ◽  
pp. 407-428
Author(s):  
F. GUSPI ◽  
A. INTROCASO ◽  
E. HUERTA
Keyword(s):  
Inverse Problem ◽  
Analytical Integration ◽  
Gravity Effects

Se deducen expresiones analíticas de rápido procesamiento en máquina, para el cálculo de la anomalía gravimétrica producida en un punto exterior por un modelo de cuero tridimensional homogéneo, definido al dar varias secciones verticales paralelas de contorno poligonal vinculadas lateralmente por caras triangulares. Se emplea luego este tipo de cuerpo en el modelado de soluciones del problema gravimétrico inverso, efectuándose algunas sugerencias respecto de la convergencia. Se presentan también ejemplos de cálculos directos e inversos.

Calcul des éléments dipolaires et quadrupolaires de la matrice de transition moléculaire dans Na2

1990 ◽  
Vol 68 (4-5) ◽  
pp. 365-368 ◽  
Author(s):  
K. Hussein ◽  
O. Babaky
Keyword(s):  
Numerical Integration ◽  
Electronic States ◽  
Transition Elements ◽  
Simple Method ◽  
Selection Rules ◽  
Variable Formula ◽  
Method Of Calculation ◽  
Analytical Integration ◽  
Fifth Order

In this paper, we study a calculation of the transition elements [Formula: see text] between electronic states of the diatomic molecules Na2. We show the necessary selection rules for the determination of these operators by a method of analytical integration on the variable [Formula: see text], combined with a numerical integration to fifth order. The values found by this simple method of calculation are very reasonable and show that the important transitions [Formula: see text], [Formula: see text]; and [Formula: see text] of the dimer Na2 are dipolar. [Traduit par la revue]

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