ERATO swMATH ID: 11922 Software Authors: Gruber, R.; Troyon, F.; Berger, D.; Bernard, L. C.; Roussert, S.; Schreiber, R.; Kerner, W.; Schneider, W.; Roberts, K. V. Description: ERATO stability code. Nature of problem: This computer code treats the stability of a Tokamak-like plasma described by the ideal linearized magnetohydrodynamic (MHD) equations. The plasma is considered to be in an equilibrium state. After perturbation of such an equilibrium, the evolution of the normal modes can be calculated by linearizing the ideal MHD equations. Any mode (unstable or stable) of the spectrum can be examined. Solution method: The variational form of the 2D ideal MHD equations is treated by a finite hybrid element approach, which proves to be well suited to describe the features of the problem with sufficient accuracy. The eigenvalue problem Ax= Omega squared Bx is solved by VEKIT (an inverse vector iteration), a subprogram of the block matrix library HYMNIABLOCK. The code consists of 5 main programs (ERATO 1 to ERATO 5) linked together by disk files. Homepage: http://www.cpc.cs.qub.ac.uk/summaries/ABVS_v1_0.html Related Software: XTOR; CHEASE; GATO; CASTOR; ECOM; FINESSE; AEGIS; LIGKA; CREATE-NL+; CEDRES++; JETTO; GENE; Matlab; PSEC; ORB5; AEGIS-K; HAGIS; PEST1; JDQZ; PHOENIX Cited in: 40 Publications all top 5 Cited by 77 Authors 5 Gruber, Ralf 5 Troyon, F. S. 4 Bondeson, Anders 4 Turnbull, A. D. 3 Dewar, Robert L. 2 Goedbloed, J. P. 2 Kerner, Wolfgang 2 Killeen, John 2 Lütjens, Hinrich 2 Sauter, O. 1 Appert, K. 1 Bateman, Glenn 1 Beaumier, Philippe 1 Bernard, L. C. 1 Berroukeche, Mostefa 1 Bhattacharyya, Sati Nath 1 Blokland, J. W. S. 1 Blomqvist, K. 1 Boussari, Atanda 1 Brunner, Stephan 1 Carreras, Benjamin A. 1 Cerfon, Antoine J. 1 Chance, M. S. 1 Charlton, L. A. 1 de Ridder, G. 1 Degtyarev, L. M. 1 Delrieux, Y. 1 Eastwood, James W. 1 Fivaz, M. 1 Freidberg, Jeffrey P. 1 Goswami, Priyanka 1 Grimm, Raymond C. 1 Harned, Douglas S. 1 Hayashi, Takaya 1 Hicks, H. R. 1 Holderied, Florian 1 Holmes, J. A. 1 Iacono, Roberto 1 Jaun, André 1 Keppens, Rony 1 Koren, Barry 1 Kotschenreuther, M. T. 1 Lerbinger, K. 1 Liu, Yueqiang 1 Luciani, Jean-François 1 Lynch, Vickie E. 1 Manickam, J. 1 Maschke, Erich K. 1 Medvedev, S. Yu. 1 Merkel, Peter 1 Monticello, D. A. 1 Palha, Artur 1 Pineau, E. 1 Possanner, Stefan 1 Rachh, Manas 1 Rappaz, Jacques 1 Ricketson, Lee Forrest 1 Riedel, Kurt S. 1 Rubinacci, Guglielmo 1 Rylander, Thomas 1 Saramito, Bernard 1 Sato, Tetsuya 1 Secrétan, M. A. 1 Semenzato, S. 1 Snyder, P. B. 1 Storer, Robin G. 1 Sudan, R. N. 1 Sy, W. N-C. 1 Takeda, Tatsuoki 1 Tokuda, Shinji 1 Tran, Trach-Minh 1 Vaclavik, J. 1 Van Dam, James Walter 1 van der Holst, Bart 1 Ventre, Salvatore 1 Villard, Laurent 1 Villone, Fabio all top 5 Cited in 8 Serials 20 Journal of Computational Physics 8 Computer Physics Communications 4 Physics of Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Physica D 1 Computational Mathematics and Modeling 1 Aerospace Science and Technology 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 11 Fields 36 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year