Abstract In the paper, we propose constructions of new quadratic splinewavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The… (More)

*Correspondence: Vaclav.Finek@tul.cz Department of Mathematics and Didactics of Mathematics, Technical University of Liberec, Studentská 2, Liberec, 461 17, Czech Republic Abstract Using wavelet… (More)

We propose a construction of a Hermite cubic spline-wavelet basis on the interval and hypercube. The basis is adapted to homogeneous Dirichlet boundary conditions. The wavelets are orthogonal to… (More)

In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small… (More)

This paper deals with generalized coiflets designed in [Monzón, Beylkin, Hereman, 1999] and with computing their scaling coefficients, respectively. Such wavelets are useful in applications where… (More)

A general concept for solving of operator equations by means of wavelets was proposed by A. Cohen, W. Dahmen and R. DeVore in [7, 8]. It consists of the following steps: transformation of the… (More)

The paper is concerned with a numerical simulation of Burgers flow as a simplified model of unsteady flow of a compressible viscous fluid. Viscous Burgers equation represents many of the properties… (More)

Wavelets are by now a widely accepted tool in signal processing as well as in numerical simulation. A function f that is smooth, except at some isolated singularities, typically has a sparse… (More)