Chapter II . Splines with uniform knots draft jul 74 , TEXed 1997

II . Splines with uniform knots draft jul 74 , TEXed 1997

draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal

TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM

By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving tes...

Cubic subdivision schemes with double knots

We investigate univariate and bivariate binary subdivision schemes based on cubic B-splines with double knots. It turns out that double knots change the behaviour of a uniform cubic scheme from primal to dual. We focus on the analysis of new bivariate cubic schemes with double knots at extraordinary points. These cubic schemes produce C surfaces with the original Doo-Sabin weights.

Properties of random regression models using linear splines.

Properties of random regression models using linear splines (RRMS) were evaluated with respect to scale of parameters, numerical properties, changes in variances and strategies to select the number and positions of knots. Parameters in RRMS are similar to those in multiple trait models with traits corresponding to points at knots. RRMS have good numerical properties because of generally superio...

Placing spline knots in neural networks using splines as activation functions