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 ?
    Age


    Occupation


    Useful?

    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