Subscale Capturing in Numerical Analysis
Stanley Osher · Birkhäuser Basel eBooks · 1995
In this paper we shall describe numerical methods that were devised for the purpose of computing small scale behavior without either fully resolving the whole solution or explicitly tracking certain singular parts of it. Techniques developed for this purpose include shock capturing, front capturing, and multiscale analysis. Areas in which these methods have recently proven useful include image processing, computer vision, and differential geometry, as well as more traditional fields of physics and engineering.