Cara Brooks

Assistant Professor of Mathematics
Department of Chemistry and Mathematics
Florida Gulf Coast University
10501 FGCU Blvd S.
Fort Myers, FL 33965-6565
206 Whitaker Hall
239-590-7073
cbrooks@fgcu.edu

Mathematical Interests

My research is in the area of Inverse and Ill-posed problems. My work involves the construction of stable approximations to solutions
of linear and non-linear inverse problems that can be modeled using first kind Volterra integral equations. I am also interested in the development
of convergent regularization methods and the numerical implementation of such methods.



Recent papers and preprints

  1. C.D. Brooks and P.K. Lamm. A discrepancy principle for the generalized local regularization of linear inverse problems. Preprint.
    A discrepancy principle for the generalized local regularization of linear inverse problems.

  2. C.D. Brooks and P.K. Lamm (2011) A generalized approach to local regularization of linear Volterra problems in $L^p$ spaces, Inverse Problems 27 055010

    A generalized approach to local regularization of linear Volterra Problems. in $L^p$ spaces

  3. Brooks C D, Lamm P K and Luo X (2010) Local regularization of nonlinear Volterra equations of Hammerstein type J. Integral Equ. Appl. 22 393–425

    Local regularization of non-linear Volterra problems of Hammerstein type


      Last Update: 11/03/11.