Publications and citation ========================= If you use SIMPLE in a publication, cite the method papers that apply to your work. The software itself is archived on Zenodo; the badge in the repository README links to the current version. Method papers ------------- #. C. G. Albert, S. V. Kasilov, W. Kernbichler, Symplectic integration with non-canonical quadrature for guiding-center orbits in magnetic confinement devices, *J. Comput. Phys.* 403, 109065 (2020), https://doi.org/10.1016/j.jcp.2019.109065 #. C. G. Albert, S. V. Kasilov, W. Kernbichler, Accelerated methods for direct computation of fusion alpha particle losses within stellarator optimization, *J. Plasma Phys.* 86, 815860201 (2020), https://doi.org/10.1017/S0022377820000203 #. C. G. Albert, R. Buchholz, S. V. Kasilov, W. Kernbichler, K. Rath, Alpha particle confinement metrics based on orbit classification in stellarators, *J. Plasma Phys.* 89, 955890301 (2023), https://doi.org/10.1017/S0022377823000351 #. C. G. Albert, G. Grassler, J. Lion, J.-F. Lobsien, J. Schatzlmayr, F. Warmer, Symplectic methods for optimization of wall heat loads by fusion alpha particles in stellarator reactors, *Nucl. Mater. Energy* 48, 102200 (2026), https://doi.org/10.1016/j.nme.2026.102200 #. C. G. Albert, G. S. Grassler, S. V. Kasilov, M. Markl, J. Schatzlmayr, Symplectic integration of guiding-center equations in canonical coordinates for general toroidal fields, arXiv:2503.15278 (2025), https://arxiv.org/abs/2503.15278 (preprint). Related work used by SIMPLE --------------------------- * J. D. Meiss, R. D. Hazeltine, Canonical coordinates for guiding center particles, *Phys. Fluids B* 2, 2563 (1990), https://doi.org/10.1063/1.859380 * R. G. Littlejohn, Variational principles of guiding centre motion, *J. Plasma Phys.* 29, 111 (1983), https://doi.org/10.1017/S002237780000060X * H.-S. Bosch, G. M. Hale, Improved formulas for fusion cross-sections and thermal reactivities, *Nucl. Fusion* 32, 611 (1992), https://doi.org/10.1088/0029-5515/32/4/I07 (D-T reactivity of ``startmode = 7``) * J. D. Huba, NRL Plasma Formulary, NRL/PU/6790--19-640, Naval Research Laboratory (2019) (Coulomb logarithms of the collision operator) * E. Hairer, C. Lubich, G. Wanner, *Geometric Numerical Integration*, 2nd ed., Springer (2006), https://doi.org/10.1007/3-540-30666-8 (backward-error analysis of the symplectic schemes) * M. Landreman, M. Czekanski, A. Giuliani, B. Jang, R. Conlin, Bayesian optimization of stellarator alpha-particle confinement using data-informed parameter spaces and dimensionality reduction, arXiv:2606.19523 (2026), https://arxiv.org/abs/2606.19523 (segmented loss objective of the GPU backend) * M. Landreman, E. Paul, Magnetic fields with precise quasisymmetry for plasma confinement, *Phys. Rev. Lett.* 128, 035001 (2022), https://doi.org/10.1103/PhysRevLett.128.035001 (equilibria used in the tutorials) The FIRM3D-compatible tracing path has separate provenance information in ``LICENSES/FIRM3D-MIT.txt``.