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      The D-bar Method for Diffuse Optical Tomography: a computational study

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          Abstract

          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.

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          Journal
          2016-01-18
          2016-02-02
          Article
          1601.04636
          d30b6adb-292a-405f-a093-d110d890dffb

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Updated: added references to the work of E. Lakshtanov et al
          math.NA

          Numerical & Computational mathematics
          Numerical & Computational mathematics

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