By Nikolaus Fiebiger (auth.), Michael Griebel, Christoph Zenger (eds.)
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Additional info for Numerical Simulation in Science and Engineering: Proceedings of the FORTWIHR Symposium on High Performance Scientific Computing, München, June 17–18, 1993
Matter 3 (1991),375-380.  Y. Enomoto and R. Kato, The magnetization process in Type-II superconducting film, J. Phys: Condens. Matter 4 (1992), L433-L438.  H. Frahm, S. T. Dorsey, Flux dynamics and the growth of superconducting phase, Phys. Rev. Lett. 66 (1991), 3067-3070. P. M. -JETP 27 (1968), 328-334.  F. Liu, M. Mondello and N. Goldenfeld, Kinetics of the superconducting transition, Phys. Rev. Lett. 66 (1991), 3071-3074.  M. Tinkham, Introduction to Superconductivity, McGraw-Hill, New York, 1975.
ACKNOWLEDGEMENT The author is indebted to Prof. Dr. R. Bulirsch who always encouraged and supported this work. This research has been funded by the Bavarian Consortium on High Performance Scientific Computing and by the DFG in the Special Research Center on Transatmospheric Vehicles (SFB 255). • Optimal design of a mission to Neptune. In: Optimal Control- Calculus of Variations. Optimal Control Theory and Numerical Methods. : R. Bulirsch. A. Miele, 1. Stoer. H. Well. International Series of Numerical Mathematics, Vol.
Are the charge and mass, respectively, of the superconducting carriers; 271'n is Planck's constant; and D and u are the normal state diffusion constant and conductivity, respectively. There have been several numerical attempts to solve the TDGL equations in the physical literature (cf. g. [6J, , , ). In these computations, the dependence of the system on the electric potential ¢ is eliminated via a gauge transformation such that ¢ = O. In that context, the system looks simpler but the equation involving the magnetic potential A is no longer coercive in Hl(S1), which in turn results in some difficulties in designing numerically convergent schemes for the TDGL equations (see the discussion and analysis in [5J for this gauge choice).