# Nodes and Weights of Gauss-Legendre Calculator

## Calculates the nodes and weights of the Gauss-Legendre quadrature. | |||

Nodes and Weights of Gauss-Legendre

[1-9] /9 | Disp-Num |

- Purpose of use
- Coding

[1] 2018/10/17 17:57 Male / Under 20 years old / High-school/ University/ Grad student / Useful /

- Purpose of use
- can you calculate me gauss points and weights for n = 2000
- Comment/Request
- can you calculate me gauss points and weights for n = 2000

[2] 2018/09/30 16:58 Female / 30 years old level / High-school/ University/ Grad student / A little /

- Purpose of use
- transform 2-D singular integrals to singularity-canceled form, use Cartesian product of Gauss-Legendre rules for high precision integration for solving integral equations
- Comment/Request
- 1) Sign is incorrect in last equality, eq. (3) above. Weights would be negative!

2) Programmed the algorithm summarized above and found, for 34 sig. figs. at least, Newton's method more efficient than Halley's method! Not sure why, and perhaps not always true. . - from Keisan
- Thank you for your advice.

We modified the last equality, eq.(3).

[3] 2017/05/23 22:01 Male / 60 years old level or over / A retired people / Very /

- Purpose of use
- Calculate spherical harmonic decomposition harmonics of 3D Gaussian

[4] 2015/04/20 22:32 Male / 30 years old level / High-school/ University/ Grad student / Useful /

- Comment/Request
- Very, Very, good work. Thank you.

[5] 2014/04/24 06:44 Male / 50 years old level / Others / Very /

- Purpose of use
- Helping ferrence for finding errors in my own Fortran written Gauss-Legendre code.

[6] 2014/03/29 00:37 Female / 20 years old level / High-school/ University/ Grad student / A little /

- Purpose of use
- Use in programmation with Fortran for a Master's degree.

[7] 2013/12/26 00:06 Male / 20 years old level / High-school/ University/ Grad student / A little /

- Purpose of use
- Academic Purpose
- Comment/Request
- Prety impressed, perfect job.

[8] 2011/10/07 06:24 Male / 20 years old level / A teacher / A researcher / Very /

- Purpose of use
- Solving an initial value problem for a symmetric hyperbolic system of PDE-s
- Comment/Request
- Very helpful -- thank you

[9] 2011/05/30 07:05 Male / 60 years old level / A teacher / A researcher / Very /

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