Abstract:Convergence results for bounded time intervals are well known for finite difference approximations to the Cauchy problem for hyperbolic equations. These results typically state that if the initial data is smooth and the approximation is stable in
L
2
{L^2}
and accurate of order
r
r
, then the error at time
t
t
is bounded by
C
(
t
,
f
)
h
r
… Show more
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