Hamiltonian formulation and matrix discretization for axisymmetric magnetohydrodynamics

This research paper focuses on developing a Hamiltonian formulation and effective matrix discretization techniques specifically tailored for axisymmetric magnetohydrodynamics (MHD). By providing a new framework for analyzing and simulating MHD phenomena, this work aims to improve the accuracy and efficiency of computational models used in fields ranging from plasma physics and fusion energy research to astrophysical fluid dynamics, offering a more robust mathematical foundation for complex fluid behaviors under magnetic fields.