An Energy-Conserving Unstaggered Electromagnetic-Potential Particle-in-Cell Method, Part II: Fully Relativistic Formulation with an Adapted Higuera--Cary Pusher

arXiv:2609.36383 · math.NA, astro-ph.HE, cs.NA · Submitted 2026-09-28 · Read on arXiv

math.NA, astro-ph.HE, cs.NA

Submitted: 2026-09-28

Updated: 2026-09-28

Code: https://github.com/sgong11/Unstaggered

Terminology

• Accuracy — 4× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• An Energy-Conserving Unstaggered Electromagnetic-Potential Particle-in-Cell Method, Part I: Non-relativistic Generalized-Momentum Formulation

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