Topic
Monotone cubic interpolation
About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: This higher order predictor is described based upon the clamped cubic spline interpolation function using previously computed points on the curve to compute the coefficients via divided differences.
13 citations
01 Jan 2015
TL;DR: In this article, a cubic spline numerical model was used to model the incremental oil recovery curve in order to obtain improved values of incremental oil recovered using rate-time curves from laboratory data for surfactant and polymer flooding.
Abstract: Estimation of incremental oil recovered in a successful enhanced oil recovery (EOR) project has always been done over the years using already established formulae, undermining substantially some inherent challenges. To address some of these posed shortcomings, however, necessitates the need to model the EOR curve. This research paper presents the formulation and application of a highly sophisticated numerical model to model the incremental oil recovery curve in order to obtain improved values of the incremental oil recovered . Rate-time curves from laboratory data for surfactant and polymer flooding were used. The methodology used was cubic spline numerical modeling. "OUR" algorithm was used as the solution method to tridiagonal system of equations formed. Different and continuous equations were derived for each interval between successive data points (knots) and then joined together piecewise to form the composite equation to represent the EOR process. The incremental oil recovered was then obtained by applying the cubic spline to quadrature (numerical integration). The results showed that the incremental oil obtained by the cubic spline model was 2.7% and 5.6% more than that obtained by the trapezoidal rule in the surfactant and polymer flooding respectively. The trapezoidal rule would always give less amount of the incremental oil because the exactitude of its results is dependent on the linearity of the function being approximated. This suggests that the cubic spline model gives better results.
13 citations
TL;DR: In this paper, a new biorthogonal multi-wavelet basis on the interval with complementary homogeneous Dirichlet boundary conditions of second order is presented, based on the multiresolution analysis on \({\mathbb{R}}\) introduced in [5] which consists of cubic Hermite splines.
Abstract: In this article, a new biorthogonal multiwavelet basis on the interval with complementary homogeneous Dirichlet boundary conditions of second order is presented. This construction is based on the multiresolution analysis on \({\mathbb{R}}\) introduced in [5] which consists of cubic Hermite splines. Numerical results for the Riesz constants and a discretization of the biharmonic equation, both non-adaptive and adaptive, are given, showing the superiority over other known boundary-adapted interval wavelet bases.
13 citations
TL;DR: The use of cubic spline functions for the smoothing of seismological travel-times data is suggested in this article, where the final stages of the production of the Herrin P-Tables are critically examined.
Abstract: : The use of cubic spline functions for the smoothing of seismological travel-times data is suggested. This smoothing method is compared with other methods used for that purpose. The final stages of the production of the Herrin P-Tables are critically examined, and the use of cubic spline functions for their smoothing is shown to improve the resulting table. (Author)
13 citations
TL;DR: A family of iterative interpolation algorithm that uses splines iteratively and preserves certain polynomials is introduced and compared with cubic convolution, cubic spline, Daubechies' wavelet and FFT-based interpolations is made.
13 citations