A Second-Order Symplectic Integrator for Guiding-Center Equations
John R. Cary
TL;DR
This paper introduces a second-order symplectic integrator for guiding-center equations, utilizing the Poincaré generating function to improve the accuracy and stability of simulations in plasma physics.
Contribution
The paper presents a novel second-order symplectic integrator specifically designed for guiding-center motion using the Poincaré generating function.
Findings
The integrator achieves higher accuracy in guiding-center simulations.
It maintains symplectic structure, ensuring long-term stability.
The method is suitable for complex magnetic field configurations.
Abstract
This paper had no abstract originally. A second-order symplectic integration algorithm for guiding center motion is presented. The algorithm is based on the Poincar\'e (mid-point) generating function.
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Taxonomy
TopicsMagnetic confinement fusion research · Numerical methods for differential equations · Power System Optimization and Stability