Geodesic
Parallel algorithms for the numerical decision of Caushy's problem for ordinary differential equations systems
Matematičeskoe modelirovanie, Tome 18 (2006) no. 9, pp. 17-31

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In this paper the review of parallel algorithms for the decision of ordinary differential equations systems is realized. The calculable schemes of methods reflection on parallel SIMD and MIMD computing structures with different topologies: ring, matrix/tore, hypercube are developed. The comparative descriptions of potential and real parallelism are got, the numerical experiments on the system of tests are conducted. 
@article{MM_2006_18_9_a1,
     author = {L. P. Feldman and I. A. Nazarova},
     title = {Parallel algorithms for the numerical decision of {Caushy's}  problem for ordinary differential equations systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {18},
     number = {9},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_9_a1/}
}
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L. P. Feldman; I. A. Nazarova. Parallel algorithms for the numerical decision of Caushy's  problem for ordinary differential equations systems. Matematičeskoe modelirovanie, Tome 18 (2006) no. 9, pp. 17-31. http://geodesic.mathdoc.fr/item/MM_2006_18_9_a1/