You can find my papers at Katharine Long’s Google Scholar Profile
Preconditioning for implicit Runge-Kutta methods
With Victoria Howle, Lourdes Juan, Jeff Belding, Kohl James, Aman Rani, Michael Clines, and Masud Rana.
Implicit Runge-Kutta (IRK) methods are useful for partial differential equations because they allow high order while maintaining unconditional stability. A difficulty in practice is the need to precondition the large linear system arising at every timestep.
PDE-constrained optimization
With Jeff Belding, Kohl James, Abubakarr Yillah, and Sarani Athanayaka
PDE simulation for physics and biology
With Jeff Belding, Kohl James, and Sarani Athanayaka
Medical applications of infrared thermography
With Senay Tewolde, Yasuki Sekiguchi, and Jeff Belding
Software for PDE simulation
With Jeff Belding and Kohl James
