... that was transformed into Gauss - Laguerre, it is shown that (6) ∫ x ∞ e − u u d u = e − α ∑ i = 0 n W i α + x i Where W i are weights of the Laguerre polynomial, x i are zeros of the polynomial and α = the argument of the Ei function...

... Abstract The most common methods of interpolation are direct, lagrange, newton divided difference, and spline. Each of these techniques has first, second, and third order approximating polynomials that can be used anytime the need for interpolation arises in mathematical analysis. Of all...

... in their JBN analysis including the cubic spline numerical modeling technique (CSNMT) discussed in this research. This paper presents relative permeability data obtained from comparative analysis of the JBN method with different approaches. The differentials of second order Lagrange interpolating polynomial...

...). A modification to existing theory is to use a pseudocumulative production function, a polynomial which accounts for variations of the viscosity-compressibility product with fractional recovery. This function transforms the flowing material balance to a nonlinear equation. Pseudosteady-state data are used...

... Abstract The popular yardsticks for ranking ventures in order of their profitability, among others, are rate of return on investment and present value. This paper describes applications of polynomial algorithms for fast and efficient determination of present-day value of total profit...

... ). Nomenclatures: Nomenclatures: Abbreviation Expansion i index j index m matrix row index for m × n matrix n matrix column index for m × n matrix P Polynomial Sg specific gravity of weighting material u coefficient of polynomial V Vandermonde matrix...

... ) = y i  Fori  = 1 , … , m The Vandermonde matrix can easily be inverted in terms of Lagrange basis polynomials: each column is the coefficients of the Lagrange basis polynomial, with terms in increasing order going down. The resulting solution to the interpolation problem is called...

... polynomial. It is required to identify regions whose faults have significant contribution to produced water volume. This is necessary because some faults do have zero transmissibility. Region with zero transmissibility sealing fault cannot be produced by flooding across the region. Inactive faults were...