S0025 5718 1955 0072546 0

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numerical calculation of certain definite integrals by poisson s summation formula it is generally agreed that of all quadrature formulae the trapezoidal rule while being the simplest is also the ...

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...Numerical calculation of certain definite integrals by poisson s summation formula it is generally agreed that all quadrature formulae the trapezoidal rule while being simplest also least accurate there however a rather general class for which can be shown to highly means obtaining values specifically if integrand periodic even function with derivatives continuous then integral over period given high precision similarly form j e x f dx where an entire evaluated this method basis above statements reads t dt h i kh g v n cos xt jo may interpreted as correction magnitude will depend on manner in fourier coefficients decrease increasing now known from principles series tend zero at fast sufficiently large case first term trape zoidal order small when compara tively thus possible estimate advance interval integration determined give any desired degree accuracy and are made infinity such way remains fixed obtained result p its transform negligibly again used arbitrarily error we consider som...

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Posted on: 26 Jan 2023 | 4 years ago
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