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Designing Scientific Applications on GPUs
book

Designing Scientific Applications on GPUs

by Raphael Couturier
November 2013
Intermediate to advanced content levelIntermediate to advanced
498 pages
17h 6m
English
Chapman and Hall/CRC
Content preview from Designing Scientific Applications on GPUs
336 Designing Scientific Applications on GPUs
Note that A
i
.U =
α
X
j=1
A
i,j
.U
j
, where A
i,j
denote block matrices of A.
The parallel asynchronous iterations of the projected Richardson method
for solving the obstacle problem (14.8) are defined as follows: let U
0
E, U
0
=
(U
0
1
, . . . , U
0
α
) be the initial solution, then for all p N, the iterate U
p+1
=
(U
p+1
1
, . . . , U
p+1
α
) is recursively defined by
U
p+1
i
=
(
F
i,γ
(U
ρ
1
(p)
1
, . . . , U
ρ
α
(p)
α
) if i s(p),
U
p
i
otherwise,
(14.13)
where
p N, s(p) {1, . . . , α} and s(p) 6= ,
i {1, . . . , α}, {p | i s(p)} is enumerable,
(14.14)
and j {1, . . . , α},
(
p N, ρ
j
(p) N, 0 ρ
j
(p) p and ρ
j
(p) = p if j s(p),
lim
p→∞
ρ
j
(p) = +.
(14.15)
The previous asynchronous scheme of the projected Richardson method
models computations ...
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Publisher Resources

ISBN: 9781466571648