Romberg

版本 1.4 (3.3 KB) 作者: Mazin Mustafa

Performs Romberg integration

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更新时间 2022/10/5

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Call Romberg.m to perform Romberg integration with specified tolerance and gives results

Call RombergDisp.m to display Romberg integration scheme coefficients

Icon image: An Introduction to Numerical Methods and Analysis, 2nd Edition

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function [I] = Romberg(func,a,b,tol,kmax)

Romberg integrates function "func" of one variable and nonsingular

from "a" to "b" with tolerance "tol" and maximum order of "kmax".

0 < tol < 1 & kmax > 0. Using Romberg integration.

I = Romberg(@func,a,b,tol,kmax)

I = Romberg(@func,a,b,tol)ss,ssdefault kmax = 15

I = Romberg(@func,a,b)ss,ssdefault tol = 1e-10ss,ssdefault kmax = 15

e.g.

I = Romberg(@sin,0,pi)

I = 2.000000000000000

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function [] = RombergDisp(func,a,b,k)

Romberg integrates function "func" of one variable and nonsingular

from "a" to "b" with order of "k" and displays all results.

k >= 0. Using Romberg integration.

I = RombergDisp(@func,a,b,k)

e.g.

RombergDisp(@sin,0,pi,2)

0.000000000000000ss

1.570796326794897ss2.094395102393195ss

1.896118897937040ss2.004559754984421ss1.998570731823836

引用格式

Mazin Mustafa (2024). Romberg (https://www.mathworks.com/matlabcentral/fileexchange/58286-romberg), MATLAB Central File Exchange. 检索来源 2024/4/24.

MATLAB 版本兼容性

创建方式 R2016a

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MATLAB > Mathematics > Numerical Integration and Differential Equations >

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启发作品: Romberg

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版本	已发布	发行说明
1.4	2022/10/5	Update	下载
1.3	2019/1/13	Update	下载
1.2	2019/1/12	correction	下载
1.1.0.1	2018/12/10	Revision	下载
1.1.0.0	2016/7/20	updates	下载
1.0.0.0	2016/7/18	description description	下载