Adaptive Clenshaw-Curtis Quadrature
Adaptive Clenshaw-Curtis Quadrature.
quadcc(f, a, b, tol = .Machine$double.eps^0.5, ...)
f |
integrand as function, may have singularities at the endpoints. |
a, b |
endpoints of the integration interval. |
tol |
relative tolerence. |
... |
Additional parameters to be passed to the function |
Adaptive version of the Clenshaw-Curtis quadrature formula with an (4, 8)-point erroe term.
List with two components, value
the value of the integral and
the relative error error
.
clenshaw_curtis
## Not run: ## Dilogarithm function flog <- function(t) log(1-t)/t quadcc(flog, 1, 0, tol = 1e-12) # 1.644934066848128 - pi^2/6 < 1e-13 ## End(Not run)
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