3 papers
math.AP2026
Homogenized Equations for Isentropic Gas in a Pipe with Periodically-Varying Cross-Section
Laila S. Busaleh, David I. Ketcheson
We analyze the behavior of an isentropic gas in a narrow pipe with periodically-varying cross-sectional area. Using multiple-scale perturbation theory, we derive homogenized effect…
math.NA2026
Mitigating Barren Plateaus via Domain Decomposition in Variational Quantum Algorithms for Nonlinear PDEs
Laila S. Busaleh, Jeonghyeuk Kwon, Orlane Zang +2
Barren plateaus present a major challenge in the training of variational quantum algorithms (VQAs), particularly for large-scale discretizations of nonlinear partial differential e…
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…