com.numericalmethod.suanshu.analysis.integration.univariate.riemann

Interface IterativeIntegrator

All Superinterfaces:

Integrator, java.io.Serializable

All Known Implementing Classes:

Midpoint, NewtonCotes, Simpson, Trapezoidal

public interface IterativeIntegrator
extends Integrator

An iterative integrator computes an integral by a series of sums, which approximates the value of the integral. The sum is refined iteratively, generally, by using a finer discretization of the integrand.

Method Summary

Modifier and Type	Method and Description
int	getMaxIterations() Get the maximum number of iterations for this iterative procedure.
double	h() Get the discretization size for the current iteration.
double	next(int iteration, UnivariateRealFunction f, double a, double b, double sum0) Compute a refined sum for the integral.

Methods inherited from interface com.numericalmethod.suanshu.analysis.integration.univariate.riemann.Integrator

getPrecision, integrate

Method Detail

h

double h()

Get the discretization size for the current iteration.

Returns:

the discretization size

next

double next(int iteration,
            UnivariateRealFunction f,
            double a,
            double b,
            double sum0)

Compute a refined sum for the integral.

Parameters:

iteration - the index/count for the current iteration, counting from 1

f - the integrand

a - the lower limit

b - the upper limit

sum0 - the last sum

Returns:

a refined sum

getMaxIterations

int getMaxIterations()

Get the maximum number of iterations for this iterative procedure. For those integrals that do not converge, we need to put a bound on the number of iterations to avoid infinite looping.

Returns:

the maximum number of iterations