Publisher Summary This chapter explains basic examples of wavelet methods in numerical
analysis. It introduces the approximations and shows show the way they are related to …

This is a survey of nonlinear approximation, especially that part of the subject which is
important in numerical computation. Nonlinear approximation means that the approximants …

These notes reflect, to a great part, the present research interests of the author but were
influenced by the ideas and the work of many colleagues. They are based on lectures given …

This is a summary of five lectures delivered at the CIME course on “Advanced Numerical
Approximation of Nonlinear Hyperbolic Equations” held in Cetraro, Italy, on June 1997 …

This volume contains the texts of the four series of lectures presented by B. Cockburn, C.
Johnson, CW Shu and E. Tadmor at a CIME Summer School. It is aimed at providing a …

The subject of 'wavelets' is expanding at such a tremendous rate that it is impossible to give,
within these few pages, a complete introduction to all aspects of its theory. We hope …

We prove that the Hölder singularities of random lacunary wavelet series are chirps located
on random fractal sets. We determine the Hausdorff dimensions of these singularities, and …

We are interested in the rate of convergence in L1 of the approximate solution of a
conservation law generated by a monotone finite difference scheme. Kuznetsov has proved …

In this paper we present a new method for the numerical solution of the relativistic Vlasov–
Maxwell system on a phase-space grid using an adaptive semi-Lagrangian method. The …

The monograph Beyond Sobolev and Besov grew out of the habilitation thesis of the author
written in 2019. In view of the substantial material, decision was taken to collect the obtained …