## Research

Broadly speaking, my research interests are in numerical methods and the application of high performance computing to mathematical and physical problems. In particular, I am interested in the numerical simulation of wave propagation problems with an emphasis on development and implementation of efficient and accurate methods for the truncation of unbounded domains. Additionally I am interested in investigating questions arising in mathematical biology, where my primary focus has been on micro-scale behavior of both passive objects and active swimmers in low Renyolds number flows.

## Publications

(Preprint) Elastohydrodynamics of swimming helices: effects of flexibility and confinement
.

LaGrone, J., Cortez, R., and Fauci, L. Submitted to Phys. Rev. Fluids.

Double Absorbing Boundaries for Finite-Difference Time-Domain Electromagnetics.

LaGrone, J. and Hagstrom, T., 2016. Journal of Computational Physics, 326, pp.650-665.

*Radiation Boundary Condition Pack Library --- rbcpack.org * (2015)

Responsible for all code related to FDTD/Yee and second order finite difference interfaces along with the corresponding documentation and examples. This work was done in collaboration with HyPerComp, Inc.

## Selected Presentations

*Microdynamics in Regularized Brinkman Flow. *

SIAM Texas-Louisiana Section Meeting, October 2018, Baton Rouge, Louisiana.

*Chemotaxis Modeling for Sperm Motility. *

Society for Mathematical Biology Annual Meeting, July 2018, Sydney, Austrailia.

*Simulating Bacterial Motility in Confined Environments. *

IUTAM Symposium on Motile Cells in Complex Environments, May 2018, Udine, Italy.

*Applications of Complete Radiation Boundary Conditions to Electromagnetic and Elastic Problems *

Undergraduate Math Seminar, March 2017, Xavier University of New Orleans.

*High Order Radiation Boundary Conditions for Elastic Waves. *

ICOSAHOM 2016, July 2016, Rio de Janeiro, Brazil.

*Applications of Complete Radiation Boundary Conditions, *

RTG Seminar, January 2016, Rensselaer Polytechnic Institute

*Double Absorbing Boundaries for Finite-Difference Time-Domain Electromagnetics, *

Applied Math Seminar, November 2015, University of New Mexico