List questions from approximate-integration

Published on 28 Oct 2017 - 3:26

168

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Control speed of convergence of Riemann sum of Gaussian function

Published on 29 Oct 2017 - 18:39

222

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Name of midpoint rule and trapezoidal rule in higher dimension

Published on 30 Oct 2017 - 9:33

41

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$\partial_\rho\bigg (\int_0^{\infty} \frac{\rho_0^2 J_1(q \rho_0)}{(a^2+(\rho_0-\rho)^2)^{\frac{5}{2}}} d\rho_0 \bigg)$

Published on 30 Nov 2017 - 5:01

48

Views

Integration of a function involving algebraic and trigonometric functions

Published on 25 Dec 2017 - 15:27

62

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Approximate the value of the intergral

Published on 23 Feb 2026 - 15:05

70

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Is there an analytic formula or good fitting function for the Hankel transform of a Sersic profile?

Published on 31 Aug 2020 - 3:42

331

Views

Taylor expansion of a Lorentzian integral to second order

Published on 02 Sep 2020 - 1:57

259

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Find weights and coefficients such that quadarature formula is exact

Published on 25 Mar 2026 - 19:04

155

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Approximating the integral $\int_1^\frac{3}{2}\frac{\ln(x+1)-\ln(2)}{x-1}dx$ to accuracy of $0.001$

Published on 10 Sep 2020 - 15:46

66

Views

Approximate the same integral on different range of same length

Published on 18 Sep 2020 - 3:00

32

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Solution or approximation of $\int_0^r exp(-g\sqrt{x^2+2b*x+c})dx$

Published on 22 Sep 2020 - 13:03

133

Views

Simpson's Rule Question with Example

Published on 27 Sep 2020 - 19:48

85

Views

Romberg Integration: What are the rules to using it, as my implementation fails?

Published on 04 Oct 2020 - 16:25

215

Views

Piecewise Gauss-Legendre quadrature order of convergence

Published on 25 Mar 2026 - 14:25

List Question

Numerical Integration of a singular function

Control speed of convergence of Riemann sum of Gaussian function

Name of midpoint rule and trapezoidal rule in higher dimension

$\partial_\rho\bigg (\int_0^{\infty} \frac{\rho_0^2 J_1(q \rho_0)}{(a^2+(\rho_0-\rho)^2)^{\frac{5}{2}}} d\rho_0 \bigg)$

Integration of a function involving algebraic and trigonometric functions

Approximate the value of the intergral

Is there an analytic formula or good fitting function for the Hankel transform of a Sersic profile?

Taylor expansion of a Lorentzian integral to second order

Find weights and coefficients such that quadarature formula is exact

Approximating the integral $\int_1^\frac{3}{2}\frac{\ln(x+1)-\ln(2)}{x-1}dx$ to accuracy of $0.001$

Approximate the same integral on different range of same length

Solution or approximation of $\int_0^r exp(-g\sqrt{x^2+2b*x+c})dx$

Simpson's Rule Question with Example

Romberg Integration: What are the rules to using it, as my implementation fails?

Piecewise Gauss-Legendre quadrature order of convergence

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