An error estimate for finite volume methods for multidimensional conservation laws

Bernardo Cockburn, FrÉdÉric Coquel, Philippe Lefloch

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Abstract

The lattices of eight- and ten-dimensional Euclidean space with irreducible automorphism group or, equivalently, the conjugacy classes of these groups in GLn(Z) for n = 8, 10, are classified in this paper. The number of types is 52 in the case n = 8, and 47 in the case n = 10. As a consequence of this classification one has 26, resp. 46, conjugacy classes of maximal finite irreducible subgroups of GL8(Z), resp. GL10(Z). In particular, each such group is absolutely irreducible, and therefore each of the maximal finite groups of degree 8 turns up in earlier lists of classifications.

Original languageEnglish (US)
Pages (from-to)77-103
Number of pages27
JournalMathematics of Computation
Volume63
Issue number207
DOIs
StatePublished - Jul 1994

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