# Christopher B. Davis

#### Assistant Professor

Office: Bruner 307

Hours: TBA and by appointment

Phone: +1-931-372-3445

Email: cbdavis at tntech dot edu
## Teaching

In fall 2014 I taught Math 1845-1, Math 1910-1, and Math 1910-4 at TTU.

In spring 2014 I taught Math 2065-1 at LSU.

In fall 2013 I taught Math 2085-1 at LSU.

In fall 2012 I taught Math 1551-1 at LSU.

In spring 2012 I taught Math 2065-3 at LSU.

In fall 2011 I taught Math 1552-16 at LSU.
## Research Interests

I am interested in numerical analysis of partial differential
equations. Currently, I am developing and analyzing partition of unity methods for fourth (and higher) order problems.
## Publications

- S.C. Brenner, C.B. Davis, and L.-Y. Sung. A partition of unity method for the obstacle problem of simply supported Kirchhoff plates. To appear.
- C.B. Davis and S.W. Walker. A saddle-point formulation and finite element method for the Stefan problem with surface tension. Submitted
- S.C. Brenner, C.B. Davis, and L.-Y. Sung. A partition of unity method for a class of fourth order elliptic variational inequalities.Computer Methods in Applied Mechanics and Engineering, 276:612 - 626, 2014
- C.B. Davis. A partition of unity method with penalty for fourth order problems. Journal of Scientific Computing, 60:228 - 248, 2014
- S.C. Brenner, C.B. Davis, and L.-Y. Sung. A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates. Journal of Computational and Applied Mathematics, 265:3 - 16 , 2014
- C.B. Davis, J.G. Kim, H.-S. Oh, and M.H. Cho. Meshfree particle methods in the framework of boundary element methods for the Helmholtz equation. Journal of Scientific Computing, 55.1:200 - 230, 2013
- H.-S. Oh, C.B. Davis, and J.W. Jeong. Meshfree particle methods for thin plates. Computer Methods in Applied Mechanics and Engineering, 209 - 212:156 - 171, 2012
- H.-S. Oh, C.B. Davis, J.G. Kim, and Y.H. Kwon. Reproducing polynomial particle methods for boundary integral equations. Computational Mechanics, 48:27 - 45, 2011

## Education

- In August 2011, I received my Ph.D. in Applied Mathematics from the
University of North Carolina at Charlotte under the direction of
Professor Hae-Soo Oh. My dissertation is titled "Meshless boundary
particle methods for boundary integral equations and meshfree particle
methods for plates."
- In 2010 I received my M.S. in Mathematics from the University of North Carolina at Charlotte.
- In 2005 I received my B.S. in Applied Mathematics with a minor in Computer Science from North Carolina State University.