DR. MARTIN MOHLENKAMP
Ohio University
Athens, Ohio
mjm@math.ohiou.edu

Wavelets and Partial Differential Equations

In this course we will discuss the basics of wavelets. Including multiresolution analysis, lifting techniques, and basic applications to data compression, denoising, and signal and image processing. We will discuss the interplay between wavelets and differentiation. In particular we will discuss efficient representation in terms of wavelets of derivatives and products, and how to handle boundary terms as well as irregular data. These are all cornerstones of many non-linear PDE solvers.