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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
GPU-accelerated envelope-following method 405
Let J
i
denote (1/h
i
)C
i
+G
i
in the remaining part of this chapter. In addition,
the LU factorizations of J
i
are already calculated since they are used to solve
the circuit state at each time step before we calculate the sensitivity.
Next, for the solution at t
2
, with the previous two steps information avail-
able, Gear-2 integration can be applied,
1
h
2
[q(x
2
) α
1
q(x
1
) α
2
q(x
0
)] + f(x
2
) = b
2
. (17.6)
In view of the sensitivity of x
2
with respect to the changes of x
0
, (17.6)
indicates that x
2
’s perturbation can be traced back to x
0
along two paths: x
2
is directly affected by x
0
, and x
2
is also affected indirectly b
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Publisher Resources

ISBN: 9781466571648