二重和三重积分
| integral2 {pracma} | R Documentation |
Numerically Evaluate Double and Triple Integrals
Description
Numerically evaluate a double integral, resp. a triple integral by reducing it to a double integral. lua
Usage
integral2(fun, xmin, xmax, ymin, ymax, sector = FALSE,
reltol = 1e-6, abstol = 0, maxlist = 5000,
singular = FALSE, vectorized = TRUE, ...)
integral3(fun, xmin, xmax, ymin, ymax, zmin, zmax,
reltol = 1e-6, ...) Arguments
| fun | function spa |
| xmin, xmax | lower and upper limits of x. code |
| ymin, ymax | lower and upper limits of y. ip |
| zmin, zmax | lower and upper limits of z. ci |
| sector | logical. it |
| reltol | relative tolerance. io |
| abstol | absolute tolerance. table |
| maxlist | maximum length of the list of rectangles. function |
| singular | logical; are there singularities at vertices. class |
| vectorized | logical; is the function fully vectorized. |
| .. | additional parameters to be passed to the function. |
example
double<-function(x,y){ + ifelse(x+y>=1,6*x*y^2,0)}
> integral2(double,0,1,0,1) $Q [1] 0.9072746 $error [1] 7.325264e-08
> double<-function(x,y){ + 6*x*y^2} >
integral2(double,1/2,3/4,0,1) $Q [1] 0.3125 $error [1] 6.938894e-18