1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 1 cited
Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods
Abhijit Biswas, David I. Ketcheson
The nonlinear Schrödinger (NLS) equation possesses an infinite hierarchy of conserved densities and the numerical preservation of some of these quantities is critical for accurate…
physics.comp-ph2023
A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media
Damian P. San Roman Alerigi, David I. Ketcheson, Boon S. Ooi
We develop a finite volume method for Maxwell's equations in materials whose electromagnetic properties vary in space and time. We investigate both conservative and non-conservativ…
math.NA2023★ 1 cited
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
Abhijit Biswas, David I. Ketcheson
We generalize the idea of relaxation time stepping methods in order to preserve multiple nonlinear conserved quantities of a dynamical system by projecting along directions defined…