The D-bar Method for Diffuse Optical Tomography: a computational study
The D-bar method at negative energy is numerically implemented. Using the method we are able to numerically reconstruct potentials and investigate exceptional points at negative energy. Subsequently, applying the method to Diffusive Optical Tomography, a new way of reconstructing the diffusion coeff...
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creator | Tamminen, Janne P Tarvainen, Tanja Siltanen, Samuli |
description | The D-bar method at negative energy is numerically implemented. Using the
method we are able to numerically reconstruct potentials and investigate
exceptional points at negative energy. Subsequently, applying the method to
Diffusive Optical Tomography, a new way of reconstructing the diffusion
coefficient from the associated Complex Geometrics Optics solution is suggested
and numerically validated. |
doi_str_mv | 10.48550/arxiv.1601.04636 |
format | Article |
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method we are able to numerically reconstruct potentials and investigate
exceptional points at negative energy. Subsequently, applying the method to
Diffusive Optical Tomography, a new way of reconstructing the diffusion
coefficient from the associated Complex Geometrics Optics solution is suggested
and numerically validated.</description><identifier>DOI: 10.48550/arxiv.1601.04636</identifier><language>eng</language><subject>Mathematics - Numerical Analysis</subject><creationdate>2016-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1601.04636$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1601.04636$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tamminen, Janne P</creatorcontrib><creatorcontrib>Tarvainen, Tanja</creatorcontrib><creatorcontrib>Siltanen, Samuli</creatorcontrib><title>The D-bar Method for Diffuse Optical Tomography: a computational study</title><description>The D-bar method at negative energy is numerically implemented. Using the
method we are able to numerically reconstruct potentials and investigate
exceptional points at negative energy. Subsequently, applying the method to
Diffusive Optical Tomography, a new way of reconstructing the diffusion
coefficient from the associated Complex Geometrics Optics solution is suggested
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method we are able to numerically reconstruct potentials and investigate
exceptional points at negative energy. Subsequently, applying the method to
Diffusive Optical Tomography, a new way of reconstructing the diffusion
coefficient from the associated Complex Geometrics Optics solution is suggested
and numerically validated.</abstract><doi>10.48550/arxiv.1601.04636</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Numerical Analysis |
title | The D-bar Method for Diffuse Optical Tomography: a computational study |
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