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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
Software components for heterogeneous many-core architectures 83
derivatives are replaced with finite difference approximations, leaving only the
temporal derivative as unknown. The spatial derivatives are approximated
from u
n
, where u
n
represents the approximate solution to u(t
n
) at a given
time t
n
with time step size δt such that t
n
= nδt for n = 0, 1, . . . The finite
difference approximation can be interpreted as a matrix-vector product as
sketched in (6.2), and so the semi-discrete heat conduction problem becomes
∂u
∂t
= Au, A R
N×N
, u R
N
, (6.6)
where A is the sparse finite difference matrix and N is the number of un-
knowns in the discrete system. The ...
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Publisher Resources

ISBN: 9781466571648