There is rapid convergence to a solution accurate to several decimal places as may be corroborated against the analytical solution using the Lambert " W " or " productlog " function on Wolfram Alpha.
12.
The fact that such Chebyshev approximation is just a cosine series under a change of variables is responsible for the rapid convergence of the approximation as more terms T _ k ( x ) are included.
13.
Low permeability and rapid convergence may result in pore pressures that exceed lithostatic pressure and a relatively weak accretionary prism with a shallowly tapered geometry, whereas high permeability and slow convergence result in lower pore pressure, stronger prisms, and steeper geometry.
14.
Ironically, a decline in what the ancient Greeks once called civic virtue is occurring at a time when the rapid convergence of satellite, computer, television, radio, telephone, and print services make it easier than ever for all comers to join in the new digital democracy.
15.
Newton's method provides rapid convergence; however, it requires the first partial derivative of the option's theoretical value with respect to volatility; i . e ., \ frac { \ partial C } { \ partial \ sigma } \,, which is also known as " vega " ( see binomial model, this is not the case and " vega " must be derived numerically.