Haar wavelet techniques for the solution of ODE and PDE is discussed. Based on the Chen–
Hsiao method [CF Chen, CH Hsiao, Haar wavelet method for solving lumped and distributed …

Abstract In [Math. Comp, 70 (2001), 27–75] and [Found. Comput. Math., 2 (3)(2002), 203–
245], Cohen, Dahmen and DeVore introduced adaptive wavelet methods for solving …

The origins of wavelets go back to the beginning of the last century and wavelet methods are
by now a well-known tool in image processing (jpeg2000). These functions have, however …

This paper is concerned with recent developments of wavelet schemes for the numerical
treatment of operator equations with special emphasis on two issues: adaptive solution …

Two mathematical approaches are combined to calculate high Rey\-nolds number
incompressible fluid-structure interaction: a wavelet method to dynamically adapt the …

We develop and analyze wavelet based adaptive schemes for nonlinear variational
problems. We derive estimates for convergence rates and corresponding work counts that …

Recently an adaptive wavelet scheme could be proved to be asymptotically optimal for a
wide class of elliptic operator equations in the sense that the error achieved by an adaptive …

Sapere aude! Immanuel Kant (1724-1804) Numerical simulations playa key role in many
areas of modern science and technology. They are necessary in particular when …

These notes are to bring out some basic mechanisms governing wavelet methods for the
numerical treatment of differential and integral equations. Some introductory examples …

This paper is concerned with the estimation and evaluation of wavelet coefficients of the
composition \calF∘u of two functions \calF and u from the wavelet coefficients of u. Our main …