the polynomial interpolation in one dimensional space r is an important method to approximate the functions. the lagrange and newton methods are two well known types of interpolations. in this work, we describe the semi inherited interpolation for approximating the values of a function. in this case, the interpolation matrix has the semi inherited lu factorization.

Given a 3–manifold the second author defined functions δn : H (M ;Z) → N, generalizing McMullen’s Alexander norm, which give lower bounds on the Thurston norm. We reformulate these invariants in terms of Reidemeister torsion over a non– commutative multivariable Laurent polynomial ring. This allows us to show that these functions are semi-norms.

Abstract Borehole breakout initiation, progression, and stabilization are modeled using a semi-analytical method based on Melentiev’s graphical conformal mapping procedure, Kolosov–Muskhelishvili complex stress potentials. The only input data required the elastic moduli of rock, Coulomb strength parameters (cohesion angle internal friction), far-field stresses. stresses around borehole wall com...

OBJECTIVE The purposes of this study were to compare the efficacy of amoxicillin and cephradine for the treatment of sporadic acute puerperal mastitis (SAPM) and to evaluate the microbiology and clinical parameters of this infection. METHODS We conducted a prospective, randomized, single-blinded study comparing amoxicillin, 500 mg orally q 8 h for 7 days, and cephradine, 500 mg orally q 6 h f...

This work considers high order discretizations for the intrusive stochastic Galerkin and polynomial moment method. Applications to hyperbolic systems result in solutions that typically involve a large number of wave interactions must be resolved numerically. In reduce numerical oscillations, analytical entropy indicators are used perform CWENO-type reconstructions characteristic variables, when...

History matching is used to constrain flow simulations and reduce uncertainty in forecasts. In this work, we revisited some fundamental engineering tools for predicting waterflooding behavior to better understand the flaws in our simulation and thus find some models which are more accurate with better matching. The Craig-Geffen-Morse (CGM) analytical method was used to predict recovery performa...

The dispersion relation of the semi-discrete continuous and discontin-uous Galerkin formulations are analysed for the linear advection equation. In the context of an spectral/hp element discretisation on an equispaced mesh the problem can be reduced to a P P eigenvalue problem where P is the polynomial order. The analytical dispersion relationships for polynomial order up to P = 3 and the numer...

Most systems for the automation of termination proofs using polynomial orderings are only semi-automatic,i.e. the \right" polynomial ordering has to be given by the user. We show that a variation of Lank-ford's partial derivative technique leads to an easier and slightly more powerful method than most other semi-automatic approaches. Based on this technique we develop a method for the automated...