6 citations · 14 across the 7 of their papers we have counts for
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math.NA2011★ 1 cited
On positive cubature rules on the simplex and isometric embeddings
Masanori Sawa, Yuan Xu
Positive cubature rules of degree 4 and 5 on the -dimensional simplex are constructed and used to construct cubature rules of index 8 or degree 9 on the unit sphere. The latter…
math.NA2011
A new approach for the existence problem of minimal cubature formulas based on the Larman-Rogers-Seidel theorem
Masatake Hirao, Hiroshi Nozaki, Masanori Sawa +1
In this paper we consider the existence problem of cubature formulas of degree 4k+1 for spherically symmetric integrals for which the equality holds in the Möller lower bound. We p…
math.NA2011★ 6 cited
Note on cubature formulae and designs obtained from group orbits
Hiroshi Nozaki, Masanori Sawa
In 1960, Sobolev proved that for a finite reflection group G, a G-invariant cubature formula is of degree t if and only if it is exact for all G-invariant polynomials of degree at…