I'm a PhD student and graduate research assistant in mathematics at the University of Tennessee, Knoxville. The focus of my work is on efficient numerical methods for high dimensional random PDEs, with applications to uncertainty quantification. Please use this page to find out more about my work and my interests, and feel free to contact me if you are interested in knowing more.
Bio · In 2011, I received a B.S. in mathematics from Grove City College, moving from there to the University of Tennessee to pursue a PhD. I work as a graduate research assisntant in the Computational and Applied Mathematics group at Oak Ridge National Laboratory, where my advisor is a group leader. My current research is on implementing and analyzing the computational complexity of stochastic collocation methods, using ideas from multilevel Monte Carlo methods and exploiting the structure of sparse-grid interpolants to accelerate SC algorithms. I'm primarily involved in numerical analysis, uncertainty quantification, and approximation theory, and I enjoy as well complex analysis, probability, and PDEs. During my first two years at UTK ('11-'13), I worked as a graduate teaching associate and was awarded the Dorthea and Edgar Eaves Graduate Teaching Award in 2012. My current work grew out of the HERE summer research fellowship at ORNL, which I received in 2013.
|On the Lebesgue Constant of Weighted Leja Points for Lagrange Interpolation on Unbounded Domains. Peter Jantsch, Clayton Webster. ArXiv Preprint. ( Link )|
|Accelerating stochastic collocation methods for PDEs with random coefficients. Diego Galindo, Peter Jantsch, Clayton Webster, and Guannan Zhang. SIAM Journal of Uncertainty Quantification. ( Link )|
|A multilevel stochastic collocation method for elliptic PDEs with random coefficients. Aretha Teckentrup, Peter Jantsch, Clayton Webster, and Max Gunzburger. SIAM Journal of Uncertainty Quantification. ( Link )|