Sentence examples for basis functions of order from inspiring English sources

The geometry for this example is represented by NURBS basis functions of order 1 in the radial direction and of order 2 in the angular direction, see [20].

In general, basis functions of order p have p - m i continuous derivatives across knot ξ i, where m i is the multiplicity of the value ξ i in the knot vector.

Note that for non-repeated internal knots the support of a B-spline basis function of order p is always p + 1 knot spans, and every knot span is shared by p + 1 B-spline basis functions, see Fig. 1 where we plot B-spline basis functions for open, uniform knot vector { 0, 0, ⋯, 1 16, 1 8, ⋯, 7 8, 15 16, ⋯, 1, 1 } with order 2 and 8.

The remaining synthesis choices include basis functions of Paley order (k>0) and are in principle unbounded.

Our numerical solution procedure is based on isogeometric analysis, an approximation technique for which basis functions of high-order continuity are employed.

We analyze the error fluctuations using these test problems on the split form of the Cahn Hilliard equation solved using the finite element method with basis functions of different orders.

and all Bernstein basis function of the same order have the same definite integral over the interval, namely, (2.9).

We used non-parametric representations of curves, in the form of cubic B-spline basis functions, in order to represent these contributory features, such as thermodynamic and sequence features.

Fridrich [28, 29] introduced the concept of DCT-type key-dependent basis functions in order to protect a watermark from hostile attacks.

In addition, the accuracy of the approximate solutions can easily be improved by merely increasing the numbers of wavelet basis functions and the orders of wavelets.

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials.