2 papers
physics.comp-ph2026
Efficient High-order Mass-conserving and Energy-balancing Schemes for Schrödinger-Poisson Equations
Manvendra Pratap Rajvanshi, David I. Ketcheson
We study relaxation-based approaches for conserving mass and energy in the numerical solution of Schrödinger-Poisson (SP) type systems. Relaxation-based methods offer a general ap…
math.AP2025
A Hyperbolic Approximation of the Nonlinear Schrödinger Equation
Abhijit Biswas, Laila S. Busaleh, David I. Ketcheson +2
We study a first-order hyperbolic approximation of the nonlinear Schrödinger (NLS) equation. We show that the system is strictly hyperbolic and possesses a modified Hamiltonian st…