Investigated stability regions for high order deferred correction schemes; see this notebook. Finally, after about a year of searching, found a way to redirect all output from distutils to a file. … Read more
Recently, a stackexchange answer claimed that the Schrodinger equation is effectively a reaction-diffusion equation. I’ll set aside semantic arguments about the meaning of “effectively”, and give a… Read more
Discussed time stepping for aeroacoustics with Antony Jameson at Stanford. Also reviewed a couple of his group’s papers on high order flux reconstruction schemes. Insights from von Neumann analysis… Read more
What the CFL theorem can tell us about polynomials (and vice-versa)
In their celebrated 1928 paper, Courant, Friedrichs, and Lewy proved a geometric condition that must be satisfied by a convergent partial differential equation discretization – the famous CFL condi… Read more
My research involves analysis and development of numerical methods for integration of ordinary and partial differential equations, as well as the implementation of such methods in open source, accessible, high performance software and its application to understanding behavior of nonlinear waves in heterogeneous materials.