Geodesic
Supercomputer simulations of multiple-quantum dynamics of nuclear spins in solids
Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 3-16

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The effective algorithm is proposed for numerical solution of exactly solvable problems of intensities of multiple-quantum (MQ) coherences for one-dimensional systems of nuclear spins in solids. The detail description of the algorithm is given and it is shown its advantages in a comparison with other algorithms for such problems. The algorithm is realized as a program complex both for supercomputer systems with a flat RAM memory and for cluster ones with a distributed memory. The result of calculations of dynamics of a fifteen-spin system, which is described by the $2^{15}\times2^{15}$ matrix containing more than billion elements, is represented. The obtained results are applied to investigations of structures and dynamical processes in solids. 
@article{MM_2002_14_10_a0,
     author = {I. Ya. Ginzburg and S. I. Doronin and I. I. Maximov},
     title = {Supercomputer simulations of multiple-quantum dynamics of nuclear spins in solids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {14},
     number = {10},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_10_a0/}
}
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I. Ya. Ginzburg; S. I. Doronin; I. I. Maximov. Supercomputer simulations of multiple-quantum dynamics of nuclear spins in solids. Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_2002_14_10_a0/