7 citations · 7 across the 6 of their papers we have counts for
6 papers
Walking into the complex plane to "order" better time integrators
Jithin D. George, Samuel Y. Jung, Niall M. Mangan
Most numerical methods for time integration use real time steps. Complex time steps provide an additional degree of freedom, as we can select the magnitude of the step in both the…
How does a coin toss? A look under an asymptotic microscope
Jithin D. George
Is flipping a coin a deterministic process or a random one? We do not allow bounces. If we know the initial velocity and the spin given to the coin, mechanics should predict the fa…
Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green's Law
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
The propagation of long waves onto a continental shelf is of great interest in tsunami modeling and other applications where understanding the amplification of waves during shoalin…
A path integral method for solution of the wave equation with continuously-varying coefficients
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
A new method of solution is proposed for solution of the wave equation in one space dimension with continuously-varying coefficients. By considering all paths along which informati…
The right way to teach the FFT
Jithin Donny George
The algorithm behind the Fast Fourier Transform has a simple yet beautiful geometric interpretation that is often lost in translation in a classroom. This article provides a visual…
Estimating speech from lip dynamics
Jithin Donny George, Ronan Keane, Conor Zellmer
The goal of this project is to develop a limited lip reading algorithm for a subset of the English language. We consider a scenario in which no audio information is available. The…