# 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

- 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.

- 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

- 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.*