Research Interests

These are some of my Research Interests:
  • Inverse and Direct Scattering Problems.
  • Numerical Analysis.
  • Wave Propagation.
  • Domain Decomposition.
                          

Publications

  • C.Borges, G. Biros. Reconstruction of a compactly supported sound profile in the presence of a random background medium (In preparation)
  • C.Borges, M.Sarkis. A globalization technique based on geometric optics for the solution of the acoustic inverse scattering problem for convex obstacles (In preparation)
  • C.Borges, A.Gillman, L.Greengard. High resolution inverse scattering in two dimensions using recursive linearization, SIAM J. Imaging Sciences, volume 10, no. 2, pp. 641-664, 2017 .
  • S.Ambikasaran, C.Borges, L.Imbert-Gerard, L.Greengard. Fast, adaptive, high order accurate discretization of the Lippmann-Schwinger equation in two dimension, SIAM J. Sci. Comput., 38(3), A1770–A1787.
  • C.Borges, L.Greengard. Inverse obstacle scattering in two dimensions with multiple frequency data and multiple angles of incidence, SIAM J. Imaging Sciences, vol. 8, no. 1, pp. 280–298, 2015.
  • C.Borges. A multifrequency method for the solution of the acoustic inverse scattering prob- lem. Ph.D.dissertation, Worcester Polytechnic January 2013.
  • C.Borges, M.Sarkis, C.Schaerer. Coarse grid correction operator splitting for parabolic partial differential equations. In proceedings: X Meeting in Computational Modeling, November 2007, Rio de Janeiro, Brazil.
  • C. Borges. Coarse grid correction operator splitting for parabolic partial differential equations. M.Sc.Thesis, Institute of Pure and Applied Mathematics, Rio de Janeiro, Brazil, October 2007.

Carlos Borges
Contact Information:
Carlos Eduardo Cardoso Borges
ICES
University of Texas- Austin
201 East 24th St
Austin, TX 78712-1229
Office:  5.232
Email:   borges@ices.utexas.edu


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