Phd by thesis
Citations
247 citations
Cites background or methods from "Phd by thesis"
...The infinite domain of equation (1) is often truncated to a finite domain Ω ⊂ R(3) with boundary Γ, and boundary conditions on Γ are provided by a known analytical solution; detailed discussions appear in Tanford [4] and in references [5, 6]....
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...references [5, 6]) that the spectral radius of a linear method defined by a SPD B, provided with an optimal relaxation parameter, is given by:...
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...It is not difficult to show [5, 6] that the matrix A in (3) arising from box method discretization on a nonuniform Cartesian mesh is symmetric positive definite (SPD)....
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...In recent papers [5, 6, 14], we also considered several more advanced preconditioners than considered in by Davis and McCammon [18], including methods developed by van der Vorst and others [19], which employ special orderings to improve vectorization during the back substitutions....
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...In several recent papers [5, 6, 14], we considered an SOR method provided with the optimal relaxation parameter, implemented with a red/black ordering and array oriented data structures, yielding maximal vector lengths and very high performance on both the Convex C240 and the Cray Y-MP....
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245 citations
245 citations
244 citations
243 citations
Cites background from "Phd by thesis"
...Actually, the results just summarized are the easy characteristic zero case of Cohen’s much deeper calculations in arbitrary characteristic [15, 16], now over twenty years old....
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...It was observed by Getzler and Jones [28] that the general case was already implicit in Cohen’s thesis [15]....
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...We show that H∗(Cn) contains a suboperad which, when translated to degree zero, is isomorphic to the operad that defines Lie algebras, and we observe that work in Cohen’s 1972 thesis [15, 16] implies that the full operad H∗(Cn) defines n-braid algebras....
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References
21,582 citations
"Phd by thesis" refers background in this paper
...members of this group were produced by Tsien and colleagues [1, 10, 11]....
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...The introduction of Ca 2+ -sensitive fluorescent dyes more than twenty years ago and their permanent improvement [10] enabled investigators to gain unprecedented insights into the mechanisms of cellular signalling....
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