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Laplace's method
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Mathematics
Fields of mathematics
Applied mathematics
Mathematical physics
Perturbation theory
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1970-01-01
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Laplace's method
is
a
technique used in
asymptotic analysis
to approximate
integrals
of the form
\[
I
_
n
= \
int
_{
a
}^{
b
} e^{
n
f
(
x
)}
g
(
x) \
, dx \]
as
\(
n
\) becomes large, where \(
f
(
x
) \) is
a
smooth function and \(
g
(
x
) \) is another function that is reasonably well-behaved.
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Perturbation theory
Mathematical physics
Applied mathematics
Fields of mathematics
Mathematics
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