Results 31 to 40 of about 65 (65)

Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations

, 1999
: In this paper we establish linear independence and stability of certain piecewise linear prewavelets over arbitrary bounded triangulations. These prewavelets are natural generalizations of the locally supported element constructed by Kotyczka and ...
Ewald G. Quak, Michael S. Floater
core  

Construction of compactly supported biorthogonal wavelets in L₂(R^s)

, 1997
: This paper presents a general construction of compactly supported biorthogonal wavelets in L 2 (IR s ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets of increasing smoothness is provided.
Sherman D. Riemenschneider, Zuowei Shen
core  

Stable Spectral Methods For Conservation Laws On Triangles With Unstructured Grids

, 1997
. This paper presents an asymptotically stable scheme for the spectral approximation of linear conservation laws defined on a triangle. Lagrange interpolation on a general two-dimensional nodal set is employed and, by imposing the boundary conditions ...
D. Gottlieb, J. S. Hesthaven
core  

Bivariate Spline Interpolation with Optimal Approximation Order

Let \Delta be a triangulation of some polygonal domain\Omega ae R 2 and let S r q (\Delta) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to \Delta. We present a Hermite type interpolation scheme for S
G. Nürnberger, F. Zeilfelder, O. Davydov   +2 more
core  

On the Approximation Power of Bivariate Splines

, 1996
. We show how to construct stable quasi-interpolation schemes in the bivariate spline spaces S r d (4) with d 3r+2 which achieve optimal approximation order.
Larry L. Schumaker, Ming-jun Lai
core  

Ostrowski type inequalities for sets and functions of bounded variation. [PDF]

J Inequal Appl, 2017
Kovalenko OV.
europepmc   +1 more source

On Dual Wavelet Tight Frames

. A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L 2 (IR) is generalized to the n-dimensional case. Two ways of
Bin Han
core  

Arbitrarily Smooth Orthogonal Nonseparable Wavelets in R²

, 1999
. For each r 2 N, we construct a family of bivariate orthogonal wavelets with compact support that are nonseparable and have vanishing moments of order r or less.
Eugene Belogay, Or M, Yang Wang
core  

Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

Open Mathematics, 2008
Wafi Abdul, Khatoon Salma
doaj   +1 more source