Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

The use of multiresolution decompositions in the context of finite volume schemes for
conservation laws was first proposed by A. Harten for the purpose of accelerating the …

As the foundation of the next-generation Digital Earth, Discrete Global Grid Systems (DGGS)
have demonstrated both theoretical and practical development, with a variety of state-of-the …

Recent Progress in Subdivision: a Survey Page 1 Recent Progress in Subdivision: a Survey
Malcolm Sabin Computer Laboratory, University of Cambridge, UK and Numerical Geometry …

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 …

We present a wavelet-based adaptive method for computing 3D multiscale flows in complex,
time-dependent geometries, implemented on massively parallel computers. While our focus …

Most operational models in atmospheric physics, meteorology and climatology nowadays
adopt spherical geodesic grids and require “ad hoc” developed interpolation procedures …

Given gridded cell-average data of a smooth multivariate function, we present a constructive
explicit procedure for generating a high-order global approximation of the function. One …

This paper proposes and analyses a non-oscillatory interpolatory subdivision scheme for
data on regular triangular grids, a non-linear analogue of the well-known butterfly …

We propose a multiresolution tessellation technique to analyze multiscale statistics of
particle velocity divergence defined at discrete particle positions. Our approach enables …