Geodesic
Algorithms for solving inverse geophysical problems on parallel computing systems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 107-121

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For solving inverse gravimetry problems, efficient stable parallel algorithms based on iterative gradient methods are proposed. For solving systems of linear algebraic equations with block-tridiagonal matrices arising in geoelectrics problems, a parallel matrix sweep algorithm, a square root method, and a conjugate gradient method with preconditioner are proposed. The algorithms are implemented numerically on the MVS-IMM parallel computing system, NVIDIA graphics processors, and the Intel multi-core CPU with the use of new computing technologies. The parallel algorithms are incorporated into a developed system of remote computations “Specialized Web-Portal for Solving Geophysical Problems on Multiprocessor Computers”. Problems with “quasi-model” and real data are solved. 
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     author = {E. N. Akimova and D. V. Belousov and V. E. Misilov},
     title = {Algorithms for solving inverse geophysical problems on parallel computing systems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {107--121},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a1/}
}
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E. N. Akimova; D. V. Belousov; V. E. Misilov. Algorithms for solving inverse geophysical problems on parallel computing systems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 107-121. http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a1/