# Romberg integration Calculator

## Calculates the integral of the given function f(x) over the interval (a,b) using the Romberg Method.

 f(x) a ,b maximum step n23456789101112131415 partitions N=2n rule TrapezoidalMidpointNon-linear substitution (Midpoint) 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
The Romberg integration Rnn can be rapidly converged with the increase in n.
It is calculated by increasing the number of partitions to double from 2 to N=2n.
In the case of non-analytic at endpoints of f(x), you can calculate by Midpoint rule.
In the case of a periodic function, you can calculate by Non-linear substitution in x.

Romberg integration
 [1-8] /8 Disp-Num5103050100200
[1]  2021/06/01 12:27   20 years old level / Others / Useful /
Purpose of use
Studying computer science, numerical methods class.
Comment/Request
It would be nicer if the 'table' is displayed
[2]  2020/07/14 01:18   50 years old level / A teacher / A researcher / Very /
Purpose of use
Solution integrals in Einstein sediment transport equations
[3]  2018/07/31 02:21   Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
scool
[4]  2018/05/30 13:30   Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Exam
[5]  2014/11/30 07:32   60 years old level or over / An engineer / Very /
Purpose of use
[6]  2014/11/20 06:29   20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Numerical analysis project
Comment/Request
Show rows mxn
R1,1
R2,1 R2,2
R3,1 R3,2 R3,3
etc. and the steps you got to there in detail
[7]  2014/10/12 19:54   Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Test my own implementation of the romberg integration algorithm
[8]  2013/05/03 10:59   20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Checking and debuging my own implementation of the Romberg integration for homework.

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