deformula.moneone {deformula} R Documentation

## Integration of one-dimensional functions over finite interval with the double exponential formula.

### Description

Numerical quadrature of functions of one variable over (lower, upper) with the double exponential formula.

### Usage

deformula.moneone(
f,
lower,
upper,
...,
zero.eps = 1e-12,
rel.tol = 1e-08,
start.divisions = 8,
max.iter = 12
)


### Arguments

 f An R function taking a numeric first argument. lower The lower limit of integration. upper The upper limit of integration. ... Additional arguments to be passed to ‘f’. zero.eps A threshold value to be zero. rel.tol A relative accuracy requested. start.divisions An integer. The initial number of subintervals. max.iter An integer for the maximum number of iterations to increase subintervals.

### Value

A list with components;

 value A value for integral. x A vector of subintervals. w A vector of weights. t A vector of subintervals for trapezoid integral. h A value of subinterval. message OK or a string for the error message.

### Examples

f <- function(x, a) exp(-a*x)
deformula.moneone(f, 0, 1, a=0.1)


[Package deformula version 0.1.2 Index]