Research Interests
These are some of my Research Interests:
- Inverse and Direct Scattering Problems.
- Numerical Analysis.
- Wave Propagation.
- Domain Decomposition.
Publications
- C.Borges, L.Greengard. Inverse medium scattering in two dimensions with multiple frequency data and multiple angles of incidence, in preparation.
- 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, 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, M.Sarkis. A multifrequency approach for the solution of the acoustic inverse scatter- ing problem in the presence of multiple scatterers (In preparation)
- 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.
