Wavelets in numerical simulation : one year study report
Pavel Borisovich Kagan, ter Hg Hennie Morsche · TU/e Research Portal · 2004
This article reports on one year study concerned with practical applications of wavelets in numerical simulation.The attention is concentrated on using wavelet based multiresolution representation to enhance numerical procedures for solving systems of linear algebraic equations.Initial study of the underlying theory has been followed by careful review of the existing knowledge and, at a later stage, by relevant numerical experiments.The experiments were based on test problems of interpolation and minimization of a functional.The obtained results indicate that in some cases the technique speeds up the convergence of iterative procedures, although no systematic recipe has been developed for improving existing solution methods.Therefore, the major conclusion of the study is that further research and development is needed before wavelet based techniques can become core technology in numerical simulations.