Jean M. Sexton
Postdoctoral Researcher, Computational Research Division
Affiliation and Research Interests
I am a postdoctoral researcher in the Center for Computational Sciences and Engineering (CCSE) in the Computational Research Division of the Computing Sciences Directorate at the Lawrence Berkeley National Laboratory. I am interested in improving efficiency for simulations involving time integration methods.
I recieved my doctorate in Computational and Applied Mathematics from Southern Methodist University in late 2017. My dissertation research fits broadly in the applied mathematics fields of scientific computing and numerical analysis. Specifically, I focused on the development of numerical methods for the time integration of problems with multiple characteristic time scales. These methods are motivated by multiphysics, multiscale real-world application problems which are constructed by coupling physical processes with potential disparate length and time scales together. I developed a family of efficient, fully coupled fourth-order multirate method with comparable stability properties to leading existing third-order multirate methods. These methods were based on existing Recursive Flux-Splitting Multirate methods using Generalized Additive Runge-Kutta theory to analyze order conditions.
J. M. Sexton, D. R. Reynolds. "Relaxed Multirate Infinitesimal Step Methods: an extension of Multirate Infinitesimal Step Methods and Recursive Flux-Splitting Multirate Methods." (Submitted) [arxiv]
D. R. Reynolds, D. J. Gardner,C. S. Woodward, A. C. Hindmarsh,J. M. Sexton. "ARKode--a solver for stiff, nonstiff, and mixed systems of ODEs." (In Preparation)
W. Thompson, S. McGinnis, D. McDaniel, J.M. Sexton, R. Pettit, S. Anderson, M. C. Jackson, K. Sellers. "A Geographical and Statistical Analysis of Childhood Leukemia Deaths Relating to the Locations of Nuclear Power Plants." Advances and Applications in Statistical Sciences 6.5 pp 313-328, 2011. [link]
J. M. Sexton. A Deferred Correction Coupling Strategy for Cosmological Simulations. Contributed talk at the IEEE WIE International Leadership Summit 2018.
J. M. Sexton, D. R. Reynolds. "High-order Relaxed Multirate Infinitesimal Step Methods for Multiphysics Applications." Contributed talk at the Texas Applied Mathematics and Engineering Symposium 2017.
D. R. Reynolds, C. S. Woodward, D. J. Gardner, J. M. Sexton. "Flexible and Accurate Multiphysics Time Integration with ARKode." Presentation at the SIAM Conference on Computational Science and Engineering 2017.
J. M. Sexton,D. R. Reynolds. "An Optimal Multirate Method for Climate Applications." Poster Presentation at the SIAM Conference on Mathematics of Planet Earth 2016