| romberg {cmna} | R Documentation |
Romberg Integration
Description
Romberg's adaptive integration
Usage
romberg(f, a, b, m, tab = FALSE)
Arguments
f |
function to integrate |
a |
the lowerbound of integration |
b |
the upperbound of integration |
m |
the maximum number of iterations |
tab |
if |
Details
The romberg function uses Romberg's rule to calculate the
integral of the function f over the interval from a
to b. The parameter m sets the number of intervals
to use when evaluating. Additional options are passed to the
function f when evaluating.
Value
the value of the integral
See Also
Other integration:
adaptint(),
gaussint(),
giniquintile(),
mcint(),
midpt(),
revolution-solid,
simp38(),
simp(),
trap()
Other newton-cotes:
adaptint(),
giniquintile(),
midpt(),
simp38(),
simp(),
trap()
Examples
f <- function(x) { sin(x)^2 + log(x)}
romberg(f, 1, 10, m = 3)
romberg(f, 1, 10, m = 5)
romberg(f, 1, 10, m = 10)
[Package cmna version 1.0.5 Index]