List questions from approximate-integration

Published on 23 Feb 2026 - 16:51

136

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Estimate the error in the trapezoidal rule

Published on 10 Oct 2020 - 9:39

34

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approximation of $\int \ln(1+\frac{2k}{a+b-k}) $

Published on 19 Oct 2020 - 3:17

352

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Asymptotic expansion of integral of airy function

Published on 24 Feb 2026 - 5:36

168

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Laplace's method for integration

Published on 25 Mar 2026 - 23:35

252

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Numeric calculation of infinite Fourier integral in 2D

Published on 06 Nov 2020 - 15:14

41

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Integrating over roots

Published on 24 Nov 2020 - 16:00

42

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Approximating function by its step approximation

Published on 24 Nov 2020 - 18:09

42

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Finding largest $r$ and smallest $q$ in $\mathbb{N}$ so that $\exp(r)\lt\int_{1}^{2}\exp(x^3+x)\mathrm dx\lt \exp(q)$ by hand

Published on 02 Dec 2020 - 19:26

47

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Struggling to evaluate an indefinite integral

Published on 05 Dec 2020 - 16:49

1k

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How to approximate a double integral numerically using the Simpson's Rule

Published on 07 Dec 2020 - 20:29

229

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Expanding convolution integrals for sharply-peaked functions.

Published on 13 Dec 2020 - 4:44

122

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Fresnel integral: stationary phase approx.

Published on 23 Feb 2026 - 7:19

277

Views

Approximations to High Dimensional Integrals

Published on 25 Mar 2026 - 23:35

40

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error bound of $I=\int_{0}^{1}\left(f'(x)\right)^{2}dx\thickapprox h\sum_{i=1}^{N}\left(\frac{f(ih)-f((i-1)h)}{h}\right)^{2}$

Published on 14 Jan 2021 - 22:21

List Question

Why is the Gaussian-Legendre Quadrature so effective?

Estimate the error in the trapezoidal rule

approximation of $\int \ln(1+\frac{2k}{a+b-k}) $

Asymptotic expansion of integral of airy function

Laplace's method for integration

Numeric calculation of infinite Fourier integral in 2D

Integrating over roots

Approximating function by its step approximation

Finding largest $r$ and smallest $q$ in $\mathbb{N}$ so that $\exp(r)\lt\int_{1}^{2}\exp(x^3+x)\mathrm dx\lt \exp(q)$ by hand

Struggling to evaluate an indefinite integral

How to approximate a double integral numerically using the Simpson's Rule

Expanding convolution integrals for sharply-peaked functions.

Fresnel integral: stationary phase approx.

Approximations to High Dimensional Integrals

error bound of $I=\int_{0}^{1}\left(f'(x)\right)^{2}dx\thickapprox h\sum_{i=1}^{N}\left(\frac{f(ih)-f((i-1)h)}{h}\right)^{2}$

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