Nodes and Weights of Gaussian quadrature (Select method) Calculator
Calculates the nodes and weights of the Gaussian quadrature. | ||
Nodes and Weights of Gaussian quadrature (Select method)
| [1-10] /26 | Disp-Num |   |
- Purpose of use
- Developing a textbook
[1] 2022/09/24 02:32 60 years old level or over / A retired person / Very /
- Purpose of use
- Researching a new statistical test. Checking how few terms and thus how accurately and how fast I can calculate.
Gaussian quadrature is not taught and is almost unknown in Australia. My interest was provoked by a maths problem within a science research task (forces between magnets) by two 15-year old boys. For the simplified problem, we re-invented Gauss-Legendre quadrature. This was good fun and good experience for them! We created a new weighting function, solved for the weights and abscissae, and reduced a horrible two dimensional integral needing a vast set of points down to a one dimensional integral needing only a few points. Then I noticed the problem could be "folded in half" and added, which required only Gauss-Jacobi quadrature, for which the abscissae and weights are already known.
I know people and have read papers using GQ for a range of research projects in Namibia, Nigeria, South Africa, ... Interesting thoughts occur about my assumptions and prejudices.
[2] 2022/02/11 12:33 60 years old level or over / A retired person / Very /
- Purpose of use
- Research/Assignment
[3] 2019/05/21 16:42 Under 20 years old / High-school/ University/ Grad student / Very /
- Purpose of use
- Research
[4] 2019/05/14 06:11 20 years old level / A teacher / A researcher / Very /
- Purpose of use
- calculation
[5] 2019/03/27 12:32 20 years old level / Elementary school/ Junior high-school student / Useful /
- Purpose of use
- research (kinetic modelling)
[6] 2019/01/17 18:09 60 years old level or over / A teacher / A researcher / Very /
- Purpose of use
- project
- Comment/Request
- good service
[7] 2018/11/26 15:03 30 years old level / High-school/ University/ Grad student / Very /
- Purpose of use
- Implementation of orthogonal collocation
[8] 2018/09/10 12:51 30 years old level / High-school/ University/ Grad student / Very /
- Purpose of use
- Building custom FEA codes. Need to implement Gaussian quadrature to evaluate element matrices, which involves integrating a constitutive matrix transformed to a shape function basis.
- Comment/Request
- In addition to the numerical values, analytical solutions would be nice to have. Maybe not for a production code, but very useful for more sophisticated prototyping and playing with ideas.
[9] 2018/07/28 03:44 20 years old level / An engineer / Useful /
- Purpose of use
- Scientific publications, Ill cite this website.
[10] 2018/07/13 08:48 40 years old level / A teacher / A researcher / Very /
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