We construct interpolating divergence-free multiwavelets based on cubic Hermite splines. We give characterizations of the relevant function spaces and indicate their use for analyzing experimental data of incompressible flow fields. We also show that the standard interpolatory wavelets, based on the Deslauriers-Dubuc interpolatory scheme or on interpolatory splines, cannot be used to construct ...

Let A be a sectorial operator on a non-atomic Lp-space, 1 ≤ p < ∞, whose resolvent consists of integral operators, or more generally, has a diffuse representation. Then the fractional domain spaces D(Aα) for α ∈ (0, 1) do not coincide with the real interpolation spaces of (Lq , D(A)). As a consequence, we obtain that no such operator A has a bounded H∞-calculus if p = 1.

Abstract Bezier is one of the influent polynomial and important tool for interpolation because it is easy to compute and is also very stable. In this paper, we develop very simpler constraints for Quadratic and Cubic Bezier curve which they ensure to constrained by a line. The end control points of the Quadratic and Cubic Bezier curve will be left on user desire and only middle control points o...

This paper is concerned with the Cubic Interpolation scheme CIP proposed by T. Yabe for the Galerkin Characteristic Method and the possibility of improving the precision of PDE solvers when the differentiated form of the equation is used. For convection diffusion equations a Lagrangian treatment of the convective term is analyzed for various approximations of the projection operator. It is foun...

The Pythagorean-hodograph curves offer unique computational advantages in computer aided design and manufacturing. In this paper, geometric parameters based cubic PH curve interpolation and approximation algorithms are presented. The essential geometric parameters include the ratio ρ of the adjacent control polygon legs, the control polygon angle θ, the first control polygon leg L, the included...

Curvelet transformation proposed in 1999, on the basis of wavelet transformation, is a new multi-scale geometric analysis method. Besides scale parameter and location parameter, it adds an azimuth parameter in structure elements compared with wavelet transformation, which makes the Curvelet transformation express anisotropic singular boundary of lines or curves. So, Curvelet transformation is b...

This work compares the performance of three compensation methods for speech recognition in the presence of packet loss. Two methods, cubic interpolation and a novel maximum a posteriori (MAP) estimation, aim to restore the feature vector stream in the event of packet loss, while the third technique applies compensation in the decoding stage of recognition through missing feature theory. To impr...

Computational modeling of tissue-scale cardiac electrophysiology requires numerically converged solutions to avoid spurious artifacts. The steep gradients inherent to cardiac action potential propagation necessitate fine spatial scales and therefore a substantial computational burden. The use of high-order interpolation methods has previously been proposed for these simulations due to their the...

Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the construction of smooth fractal functions, with the help of Hermite osculatory polynomials. As a consequence of the process, we generalize any s...