Publications, pre-prints, and technical reports
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices II: Modified block FOM, Research Report 19-04-10, April 2019.
- Kathryn Lund, The tensor t-function: a definition for functions of third-order tensors, arXiv:1806.07261 (2018).
- Andreas Frommer, Kathryn Lund, and Daniel B. Szyld, Block Krylov subspace methods for functions of matrices, Electronic Transactions on Numerical Analysis, Vol. 47 (2017), pp. 100-126. The associated software can be found on Gitlab.
- Andreas Frommer, Kathryn Lund, Marcel Schweitzer, and Daniel B. Szyld, The Radau-Lanczos method for matrix functions,SIAM Journal on Matrix Analysis and Applications, 38 (2017), pp. 710-732.
Past work and interests
Train schedule optimization
In the summer of 2015, I spent two months at the Zuse Institut Berlin working on train schedule optimization as a part of GRIPS (Graduate-level Research in Industrial Projects for Students), a program coordinated in part by the Institute for Pure and Applied Mathematics. A summary of my team's work is given in the following technical report:
- Sepideh Adhmadi, Sacha F. Gritzbach, Kathryn Lund-Nguyen, and Devita McCullough-Amal, Rolling Stock Rotation Optimization in Days of Strike: An Automated Approach for Creating an Alternative Timetable, August 2015.
As an undergraduate at Temple University, I researched traffic modeling under Benjamin Seibold. I presented my work, Five Dimensions of Traffic as a poster for the 2012 Undergraduate Research Symposium at Temple University and also for Mid-Atlantic Numerical Analysis Day 2012.