List questions from oscillatory-integral

Published on 31 Oct 2016 - 13:12

157

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Why does this sequence not oscillate?

Published on 08 Nov 2016 - 8:50

137

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Asymptotic of fourier transform of a oscillatory kernel

Published on 16 Dec 2016 - 6:10

232

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Nature of the series $\sum_{n\ge0}\int_0^{\pi/2}\cos^n(t)\sin(nt)\,dt$

Published on 14 Jan 2017 - 21:32

188

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General theory of divergent, highly oscillatory integrals

Published on 18 Feb 2017 - 21:56

336

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Simplifying oscillating limit-integrals by substituting Dirac Delta functions

Published on 02 Mar 2017 - 23:13

199

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How to prove that arc-length of x cos(1/x) is divergent?

Published on 22 Mar 2017 - 16:26

161

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Simple harmonic oscillator position function

Published on 27 Feb 2023 - 12:20

93

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Integrals with massive amount of cancellation (positive and negative portions of integrand cancel out almost perfectly)

Published on 20 Mar 2023 - 1:37

99

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Upper bound of an oscillatory integral

Published on 28 Apr 2023 - 10:57

76

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Dirac delta doublet function in simple harmonic oscillation. Conditions imposed?

Published on 24 Sep 2023 - 20:19

19

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Resource recommendation: multidimensional stationary phase method on polygons

Published on 01 Oct 2023 - 11:30

103

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Gronwall lemma with highly oscillatory kernel

Published on 08 Nov 2023 - 19:41

53

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Numerically compute an oscillating series

Published on 16 Nov 2023 - 23:59

39

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Oscillatory Integrals near the Riemann singularity

Published on 29 Jan 2024 - 4:05

List Question

Integrals of rapidly oscillating phase functions.

Why does this sequence not oscillate?

Asymptotic of fourier transform of a oscillatory kernel

Nature of the series $\sum_{n\ge0}\int_0^{\pi/2}\cos^n(t)\sin(nt)\,dt$

General theory of divergent, highly oscillatory integrals

Simplifying oscillating limit-integrals by substituting Dirac Delta functions

How to prove that arc-length of x cos(1/x) is divergent?

Simple harmonic oscillator position function

Integrals with massive amount of cancellation (positive and negative portions of integrand cancel out almost perfectly)

Upper bound of an oscillatory integral

Dirac delta doublet function in simple harmonic oscillation. Conditions imposed?

Resource recommendation: multidimensional stationary phase method on polygons

Gronwall lemma with highly oscillatory kernel

Numerically compute an oscillating series

Oscillatory Integrals near the Riemann singularity

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