3 papers
math.NA2026
A Recursive Polynomial Chaos Evolution Method for Stochastic Differential Equations
Guillaume Bal, Shengbo Ma, Su Zhang +1
Numerical simulation of stochastic differential equations over long time intervals poses significant computational challenges. In this paper, we propose a novel recursive polynomia…
math-ph2026
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
Guillaume Bal, Paul Cazeaux, Daniel Massatt +1
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points in the dispersion relation of tig…
math-ph2023
Integral formulation of Dirac singular waveguides
Guillaume Bal, Jeremy Hoskins, Solomon Quinn +1
This paper concerns a boundary integral formulation for the two-dimensional massive Dirac equation. The mass term is assumed to jump across a one-dimensional interface, which model…