Structure-preserving numerical calculation of wave equation for a vector field
Numerical Analysis
2025-10-01 v1 Numerical Analysis
Analysis of PDEs
Quantum Physics
Abstract
For the Proca equation, which is a wave equation for a vector field, we derive the canonical formulation including constraints from the Stueckelberg action and propose discrete equations with a structure-preserving scheme for conserving the constraints at the discrete level. Numerical simulations are performed using these discrete equations and other discrete equations with a standard scheme. We show the results obtained using the structure-preserving scheme and provide more accurate and stable numerical solutions.
Cite
@article{arxiv.2509.26504,
title = {Structure-preserving numerical calculation of wave equation for a vector field},
author = {Takuya Tsuchiya},
journal= {arXiv preprint arXiv:2509.26504},
year = {2025}
}
Comments
6 pages, 4 figures