We use the linear combination of {[B.sub.k](x) | k = -p, ..., K - 1} and the unknown parameters [b.sub.k](k = -p, ..., K - 1) to approximate the regression function and consider the
B-spline regression problem,
Using the local coordinate transformation (5) for the finite element [[x.sub.m],[x.sub.m+1]] quadratic
B-spline shape functions can be defined as
By increasing or decreasing the order of
B-splines, one can easily increase or decrease the order of the method.
We use
B-spline basis functions for the solution of Burgers' equation (1)-(4).
2(a)) as the most natural and computationally cheapest method; and
b-splines which demands more computing resources (Fig.
Our theoretical result is confirmed by several numerical experiments on parametric and deformed domains defined by Non-Uniform Rational
B-Splines (NURBS) parametrizations, showing additionally a good performance of the biharmonic OAS preconditioner with respect to the spline polynomial degree, regularity, and domain deformation.
Shi, Computer Aided Geometric Design and Non-Uniform Rational
B-Spline, Higher Education Press, 2001.
The rigid surface boundary element is derived within the framework of the
B-spline BEM for fluids and follows an approach similar to the one developed by the author for treatment of rigid bodies interacting with soils and solids [24].
In this paper we demonstrated that robot trajectories can be similar to different splines (
B-splines).
[16] proposed a new function named i-Spline while imposing some modifications to the
B-Spline function.