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- Title
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling.
- Authors
Antil, Harbir; Bartels, Sören
- Abstract
Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image processing and phase field models in which jumps across lower dimensional subsets and sharp transitions across interfaces are of interest. The numerical solution of corresponding model problems via a spectral method is analyzed. Its efficiency and features of the model problems are illustrated by numerical experiments.
- Subjects
MATHEMATICAL models of spectrum analysis; NUMERICAL solutions to partial differential equations; APPROXIMATION theory; MATHEMATICAL models
- Publication
Computational Methods in Applied Mathematics, 2017, Vol 17, Issue 4, p661
- ISSN
1609-4840
- Publication type
Article
- DOI
10.1515/cmam-2017-0039