Geodesic
Parametrized tiling: Accurate approximations and analysis of global dependences
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1817-1828

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Aspects of parametrized tiling as applied to algorithms whose computational domain can be represented as a convex polyhedron are studied. A method for constructing approximations to a set of tiles is developed, and necessary and sufficient conditions for their accuracy are stated. Formulas for determining intertile vectors are derived. A formal representation of iteration sets generating such vectors is obtained in the form of polyhedra with explicitly expressed boundaries. 
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     author = {S. V. Bakhanovich and P. I. Sobolevskii},
     title = {Parametrized tiling: {Accurate} approximations and analysis of global dependences},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1817--1828},
     publisher = {mathdoc},
     volume = {54},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a10/}
}
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S. V. Bakhanovich; P. I. Sobolevskii. Parametrized tiling: Accurate approximations and analysis of global dependences. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1817-1828. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a10/