Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling-Reference-Cited by-同舟云学术

Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling

Published:2017-10-01 Issue:4 Volume:17 Page:661-678
ISSN:1609-9389
Container-title:Computational Methods in Applied Mathematics
language:
Short-container-title:

Author:

Antil Harbir¹,Bartels Sören²

Affiliation:

1. Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA

2. Department of Applied Mathematics, Mathematical Institute, University of Freiburg, Hermann-Herder-Str. 9, 79104Freiburg im Breisgau, Germany

Abstract

AbstractFractional 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.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/downloadpdf/journals/cmam/17/4/article-p661.xml

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