最終更新日：2022/12/24
Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫_𝛤F(t)dt/(t-x), x∈𝛤, where 𝛤 is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order O(e), where N is the number of quadrature nodes and c is a constant independent of N.
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元となった例文
Three
types
of
SINC
quadratures
are
surveyed
for
the
evaluation
of
Cauchy
principal
value
integrals
∫_𝛤F(t)dt/(t-x),
x∈𝛤,
where
𝛤
is
an
arc
in
the
complex
plane.
Under
suitable
assumptions
on
F,
the
quadrature
errors
are
of
order
O(e),
where
N
is
the
number
of
quadrature
nodes
and
c
is
a
constant
independent
of
N.
