Welcome to Dr. Joseph Nakao's research lab (NaSCaRS) at Swarthmore College! The NaSCaRS group focuses on developing efficient structure-preserving numerical solvers for partial differential equations. Our projects include Eulerian-Lagrangian/semi-Lagrangian methods, projection-based rank-adaptive methods, and high-order discretizations. We are interested in the broad range of applications where high-dimensional partial differential equations appear, particularly related to fluid and kinetic dynamics.
We gratefully acknowledge the generous funding support from Swarthmore College.