Nodes and Weights of Gauss-Legendre Calculator

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

order n
    1. n=2,3,4,..,100

Nodes and Weights of Gauss-Legendre
[1-9] /9Disp-Num
BACK NEXT
[1]  2018/10/17 17:57   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Coding
[2]  2018/09/30 16:58   Female / 30 years old level / High-school/ University/ Grad student / A little /
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
[3]  2017/05/23 22:01   Male / 60 years old level or over / A retired people / Very /
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).
[4]  2015/04/20 22:32   Male / 30 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Calculate spherical harmonic decomposition harmonics of 3D Gaussian
[5]  2014/04/24 06:44   Male / 50 years old level / Others / Very /
Comment/Request
Very, Very, good work. Thank you.
[6]  2014/03/29 00:37   Female / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
Helping ferrence for finding errors in my own Fortran written Gauss-Legendre code.
[7]  2013/12/26 00:06   Male / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
Use in programmation with Fortran for a Master's degree.
[8]  2011/10/07 06:24   Male / 20 years old level / A teacher / A researcher / Very /
Purpose of use
Academic Purpose
Comment/Request
Prety impressed, perfect job.
[9]  2011/05/30 07:05   Male / 60 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

BACK NEXT

Thank you for your questionnaire.
Sending completion

Back

To improve this 'Nodes and Weights of Gauss-Legendre Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?
Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.)
Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
Text bug(Please enter information such as wrong and correct texts)
Your feedback and comments may be posted as customer voice.
送信