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. 检索时间: .

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