Subscale Capturing in Numerical Analysis

Stanley Osher
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Stanley Osher: University of California, Mathematics Department

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1449-1459 from Springer

Abstract: Abstract 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.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_141

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