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vmec_refs.bib
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@article{merkel_1982,
title={{A Green’s Function Method for the Vacuum Contribution to the MHD Stability of Helically Symmetric Equilibria}},
author={Merkel, P.},
year={1982},
journal={Z. Naturforsch.},
volume={37a},
number={8},
pages={859--865},
doi={10.1515/zna-1982-0819},
}
@article{hirshman_whitson_1983,
title={Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria},
author={S. P. Hirshman and J. C. Whitson},
year={1983},
journal={Phys. Fluids},
volume={26},
pages={3553--3568},
doi={10.1063/1.864116}
}
@article{hirshman_meier_1985,
author = {Hirshman, S. P. and Meier, H. K.},
title = {{Optimized Fourier representations for three‐dimensional magnetic surfaces}},
year = {1985},
journal = {Phys. Fluids},
volume = {28},
number = {5},
pages = {1387--1391},
doi = {10.1063/1.864972},
}
@article{hirshman_lee_1986,
author = {S. P. Hirshman and D. K. Lee},
title = {{MOMCON: A spectral code for obtaining three-dimensional magnetohydrodynamic equilibria}},
year = {1986},
journal = {Comp. Phys. Comm.},
volume = {39},
number = {2},
pages = {161--172},
doi = {10.1016/0010-4655(86)90127-X},
}
@article{hirshman_hogan_1986,
title={{ORMEC: A three-dimensional MHD spectral inverse equilibrium code}},
author={Hirshman, S. P. and Hogan, J. T.},
year={1986},
journal={J. Comp. Phys.},
volume={63},
number={2},
pages={329--352},
doi={10.1016/0021-9991(86)90197-X},
}
@article{merkel_1986,
title={{An Integral Equation Technique for the Exterior and Interior Neumann Problem in Toroidal Regions}},
author={Merkel, P.},
year={1986},
journal={J. Comp. Phys.},
volume={66},
number={1},
pages={83--98},
doi={10.1016/0021-9991(86)90055-0},
}
@article{hirshman_vanrij_merkel_1986,
title={{Three-dimensional free boundary calculations using a spectral Green's function method}},
author={Hirshman, S. P. and van Rij, W. I. and Merkel, P.},
year={1986},
journal={Comp. Phys. Comm.},
volume={43},
number={1},
pages={143--155},
doi={10.1016/0010-4655(86)90058-5},
}
@article{attenberger_1987,
title={{Some Practial Considerations Involving Spectral Representations of 3D Plasma Equilibria}},
author={S. E. Attenberger and W. A. Houlberg and S. P. Hirshman},
year={1987},
journal={J. Comput. Phys.},
volume={72},
pages={435--448},
doi={10.1016/0021-9991(87)90092-1},
}
@article{hirshman_schwenn_nuehrenberg_1990,
title={{Improved Radial Differencing for Three-Dimensional Magnetohydrodynamic Equilibrium Calculations}},
author={Hirshman, S. P. and Schwenn, U. and N{\"u}hrenberg, J.},
year={1990},
journal={J. Comp. Phys.},
volume={87},
number={2},
pages={396--407},
doi={10.1016/0021-9991(90)90259-4},
}
@article{hirshman_betancourt_1991,
title={{Preconditioned Descent Algorithm for Rapid Calculations of Magnetohydrodynamic Equilibria}},
author={Hirshman, S. P. and Betancourt, O.},
year={1991},
journal={J. Comp. Phys.},
volume={96},
number={1},
pages={99--109},
doi={10.1016/0021-9991(91)90267-O},
}
@article{hirshman_breslau_1998,
title={{Explicit spectrally optimized Fourier series for nested magnetic surfaces}},
author={Hirshman, S. P. and Breslau, J.},
year={1998},
journal={Phys. Plasmas},
volume={5},
number={7},
pages={2664--2675},
doi={10.1063/1.872954},
}
@article{hirshman_etal_2010,
title={{BCYCLIC: A parallel block tridiagonal matrix cyclic solver}},
author={Hirshman, S. P. and Perumalla, K. S. and Lynch, V. E. and Sanchez, R.},
year={2010},
journal={J. Comp. Phys.},
volume={229},
number={18},
pages={6392--6404},
doi={10.1016/j.jcp.2010.04.049},
}
@inproceedings{seal_hirshman_2016,
title={{PARVMEC: An Efficient, Scalable Implementation of the Variational Moments Equilibrium Code}},
author={Seal, S. K. and Hirshman, S. P. and Wingen, A. and Wilcox, R. S. and Cianciosa, M. R. and Unterberg, E. A.},
year={2016},
booktitle={{2016 45th International Conference on Parallel Processing (ICPP)}},
pages={618--627},
organization={IEEE},
doi={10.1109/ICPP.2016.77},
}
@inproceedings{merkel_1987,
title={{Application of the Neumann problem on stellarators: Magnetic surface, coils, free boundary equilibrium, magnetic diagnostics}},
author={Merkel, P.},
year={1987},
booktitle={{International School of Plasma Physics}},
pages={25--46},
doi={},
}
Proc. Theory of Fusion Plasmas, Piero Caldirola, Varenna, Italy, 24–28 August 1987, EUR 11336EN (1987), p. 25
@book{roy_2007,
title={{Potential Theory in Applied Geophysics}},
author={Roy, Kalyan Kumar},
year={2007},
publisher={Springer Science \& Business Media}
}
@book{gradshteyn_ryzhik,
title={{Table of Integrals, Series and Products (Eigth Edition)}},
author={{Gradshteyn, I. S. and Ryzhik, I. M.}},
year={2015},
publisher={Academic Press (Elsevier)},
}
@article{strumberger_2002,
author = {E. Strumberger and S. Günter and P. Merkel and E. Schwarz and C. Tichmann and H.-P. Zehrfeld},
title = {Numerical computation of magnetic fields of two- and three-dimensional equilibria with net toroidal current},
year = 2002,
journal = {Nucl. Fusion},
volume = {42},
number = {7},
pages = {827--832},
doi = {10.1088/0029-5515/42/7/305},
}
@article{hanson_2009,
title={{V3FIT: a code for three-dimensional equilibrium reconstruction}},
author={James D. Hanson and Steven P. Hirshman and Stephen F. Knowlton and Lang L. Lao and Edward A. Lazarus and John M. Shields},
journal={Nucl. Fusion},
volume={49},
pages={075031},
year={2009},
doi = {10.1088/0029-5515/49/7/075031},
}
@article{howell_hanson_2020,
title={{Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT}},
volume={86},
DOI={10.1017/S0022377819000813},
number={1},
journal={J. Plasma Phys.},
publisher={Cambridge University Press},
author={Howell, Eric C. and Hanson, J. D.},
year={2020},
pages={905860102}
}
@book{discrete_mathematics,
title = {{Discrete Mathematics: An Open Introduction}},
author = {Levin, Oscar},
year = 2018,
publisher = {University of Northern Colorado},
address = {Colorado},
url = {http://discrete.openmathbooks.org/dmoi2/section-27.html#subsection-41}
}
@inproceedings{merkel_1988,
title={{Applications of the Neumann Problem to Stellarators: Magnetic Surfaces, Coils, Free-Boundary Equilibrium, Magnetic Diagnostics}},
author={Merkel, P.},
editor={Bondeson, A. and Sindoni, E. and Troyon, F.},
year={1988},
booktitle={{Theory of Fusion Plasmas}},
pages={25--46},
url={http://hdl.handle.net/11858/00-001M-0000-0028-BDF5-4},
}
@inproceedings{romero_1998,
author={Romero, Luis F. and Ortigosa, Eva M. and Zapata, Emilio L. and Jim{\'e}nez, Juan A.},
title={{Parallelization Strategies for the VMEC Program}},
year={1998},
pages={483--490},
editor={K{\aa}gstr{\"o}m, Bo and Dongarra, Jack and Elmroth, Erik and Wa{\'{s}}niewski, Jerzy},
booktitle={Applied Parallel Computing Large Scale Scientific and Industrial Problems},
publisher={Springer Berlin Heidelberg},
address={Berlin, Heidelberg},
}
@thesis{msc_zhou,
title={{Partial parallelization of VMEC system}},
author={Mei Zhou},
type={mathesis},
year={1999},
institution={Department of Computer Science, University of Montana},
url={https://scholarworks.umt.edu/etd/5507}
}
@article{romero_2001,
title = {{Data-task parallelism for the VMEC program}},
author = {L.F. Romero and E.M. Ortigosa and E.L. Zapata},
year = {2001},
journal = {Parallel Computing},
volume = {27},
number = {10},
pages = {1347-1364},
issn = {0167-8191},
doi = {https://doi.org/10.1016/S0167-8191(01)00094-1},
keywords = {Data parallelism, Functional decomposition, Communication overlapping, Load balancing},
}
@article{merz_2013,
title={{Optimization strategy for the VMEC stellarator equilibrium code}},
author={Merz, F. and Geiger, J. and Rampp, M.},
year={2013},
journal={IPP R/48},
url={http://hdl.handle.net/11858/00-001M-0000-0026-E182-5}
}
@article{strumberger_2005,
title={{User Manual: Iterative Computation of 3D Ideal MHD Equilibria and Magnetic Fields}},
author={Strumberger, E. and Hölzl, M.},
year={2005},
journal={IPP 5/113},
url={http://hdl.handle.net/11858/00-001M-0000-0027-16AA-6}
}
@article{hudson_knotatrons,
author = {Hudson,S. R. and Startsev,E. and Feibush,E. },
title = {A new class of magnetic confinement device in the shape of a knot},
journal = {Physics of Plasmas},
volume = {21},
number = {1},
pages = {010705},
year = {2014},
doi = {10.1063/1.4863844},
}
@article{dewar_hudson_1998_stellarator_symmetry,
title = {Stellarator symmetry},
author = {R.L. Dewar and S.R. Hudson},
journal = {{Physica D}},
volume = {112},
number = {1},
pages = {275-280},
year = {1998},
doi = {10.1016/S0167-2789(97)00216-9},
}
@Article{FFTW05,
author = {Frigo, Matteo and Johnson, Steven~G.},
title = {{The Design and Implementation of {FFTW3}}},
journal = {Proceedings of the IEEE},
year = 2005,
volume = 93,
number = 2,
pages = {216--231},
note = {Special issue on ``Program Generation, Optimization, and Platform Adaptation''}
}
@book{martensen_potentialtheorie,
author={Erich Martensen},
title={{Potentialtheorie}},
}
@article{y1972_shafranov_zakharov,
doi = {10.1088/0029-5515/12/5/009},
url = {https://doi.org/10.1088%2F0029-5515%2F12%2F5%2F009},
year = 1972,
month = {sep},
publisher = {{IOP} Publishing},
volume = {12},
number = {5},
pages = {599--601},
author = {Shafranov, V. D. and Zakharov, L. E.},
title = {Use of the virtual-casing principle in calculating the containing magnetic field in toroidal plasma systems},
journal = {Nucl. Fusion},
}
@article{y1985_hirshman,
author = {Hirshman, S. P. and Meier, H. K.},
title = {{Optimized Fourier representations for three‐dimensional magnetic surfaces}},
journal = {Phys. Fluids},
volume = {28},
number = {5},
pages = {1387-1391},
year = {1985},
doi = {10.1063/1.864972},
URL = {https://aip.scitation.org/doi/abs/10.1063/1.864972},
eprint = {https://aip.scitation.org/doi/pdf/10.1063/1.864972}
}
@article{y1998_hirshman,
author = {Hirshman, S. P. and Breslau, J.},
title = {{Explicit spectrally optimized Fourier series for nested magnetic surfaces}},
journal = {Phys. Plas.},
volume = {5},
number = {7},
pages = {2664-2675},
year = {1998},
doi = {10.1063/1.872954},
URL = {https://doi.org/10.1063/1.872954},
eprint = {https://doi.org/10.1063/1.872954}
}
@article{y2010_hirshman,
title = {{BCYCLIC: A parallel block tridiagonal matrix cyclic solver}},
journal = {J. Comp. Phys.},
volume = {229},
number = {18},
pages = {6392 - 6404},
year = {2010},
issn = {0021-9991},
doi = {https://doi.org/10.1016/j.jcp.2010.04.049},
url = {http://www.sciencedirect.com/science/article/pii/S0021999110002536},
author = {Hirshman, S.P. and Perumalla, K. S. and Lynch, V. E. and Sanchez, R.},
}
@article{y2011_hudson,
doi = {10.1088/0741-3335/54/1/014005},
url = {https://doi.org/10.1088%2F0741-3335%2F54%2F1%2F014005},
year = 2011,
month = {dec},
publisher = {{IOP} Publishing},
volume = {54},
number = {1},
pages = {014005},
author = {Hudson, S. R. and Dewar, R. L. and Hole, M. J. and McGann, M.},
title = {Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions},
journal = {Plasma Phys. and Contr. Fusion}
}
@article{y2012_lazerson,
doi = {10.1088/0741-3335/54/12/122002},
url = {https://doi.org/10.1088%2F0741-3335%2F54%2F12%2F122002},
year = 2012,
month = {nov},
publisher = {{IOP} Publishing},
volume = {54},
number = {12},
pages = {122002},
author = {Lazerson, S. A.},
title = {{The virtual-casing principle for 3D toroidal systems}},
journal = {Plasma Phys. and Contr. Fusion}
}
@article{y2013_lazerson,
doi = {10.1088/0741-3335/55/2/025014},
url = {https://doi.org/10.1088%2F0741-3335%2F55%2F2%2F025014},
year = 2013,
month = {jan},
publisher = {{IOP} Publishing},
volume = {55},
number = {2},
pages = {025014},
author = {Lazerson, S. A. and Sakakibara, S. and Suzuki, Y.},
title = {{A magnetic diagnostic code for 3D fusion equilibria}},
journal = {Plasma Phys. and Contr. Fusion}
}
@article{y2015_hanson,
doi = {10.1088/0741-3335/57/11/115006},
url = {https://doi.org/10.1088%2F0741-3335%2F57%2F11%2F115006},
year = 2015,
month = {sep},
publisher = {{IOP} Publishing},
volume = {57},
number = {11},
pages = {115006},
author = {Hanson, J. D.},
title = {{The virtual-casing principle and Helmholtz's theorem}},
journal = {Plasma Phys. and Contr. Fusion}
}
@article{y2017_zhu,
doi = {10.1088/1741-4326/aa8e0a},
url = {https://doi.org/10.1088%2F1741-4326%2Faa8e0a},
year = 2017,
month = {nov},
publisher = {{IOP} Publishing},
volume = {58},
number = {1},
pages = {016008},
author = {Zhu, C. and Hudson, S. R. and Song, Y. and Wan, Y.},
title = {New method to design stellarator coils without the winding surface},
journal = {Nucl. Fusion}
}