An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations. - Joseph Nakao; Jiajie Chen; Jing-Mei Qiu (J. Comput. Phys., 2022)

Reduced Augmentation Implicit Low-Rank (RAIL) Integrators for Advection-Diffusion and Fokker-Planck Models. - Joseph Nakao; Jing-Mei Qiu; Lukas Einkemmer (SIAM J. Sci. Comput., 2025)

A High-Order Eulerian-Lagrangian Runge-Kutta Finite Volume (EL-RK-FV) Method for Scalar Nonlinear Conservation Laws. - Jiajie Chen; Joseph Nakao; Jing-Mei Qiu; Yang Yang 014 (J. Sci. Comput., 2025)

A Reduced Augmentation Implicit Low-rank (RAIL) integrator for solving three-dimensional diffusion and advection-diffusion equations in the Tucker tensor format. - Joseph Nakao; Gianluca Ceruti; Lukas Einkemmer (CoRR, 2025)