Computation of magnetic coordinates and action-angle variables

DOI10.1016/0021-9991(91)90144-AzbMath0725.65121OpenAlexW2085882758MaRDI QIDQ2277791

A. H. Reiman, Neil Pomphrey

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90144-a

zbMATH Keywords

algorithmmagnetic fielditerative methodinvariant toriaction-angle variablesmagnetic surfacestrajectory following methodtime- dependent Hamiltonian

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

Related Items (2)

Flux-minimizing curves for reversible area-preserving maps ⋮ Solving the 3D MHD equilibrium equations in toroidal geometry by Newton's method

Cites Work

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• Numerical evaluation of magnetic coordinates for particle transport studies in asymmetric plasmas
• Invariant tori through direct solution of the Hamilton-Jacobi equation
• Numerical solution of three-dimensional magnetic differential equations
• Convergence properties of a nonvariational 3D MHD equilibrium code
• Critical Behavior of a KAM surface. I: Empirical results
• Ballooning mode calculations in stellarators
• Establishment of magnetic coordinates for a given magnetic field
• A variational principle for invariant tori of fixed frequency
• Stability Criterion for Arbitrary Hydromagnetic Equilibria

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