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

Interface Integrator

All Superinterfaces:

java.io.Serializable

All Known Subinterfaces:

IterativeIntegrator

All Known Implementing Classes:

ChangeOfVariable, Midpoint, NewtonCotes, Riemann, Romberg, Simpson, Trapezoidal

public interface Integrator
extends java.io.Serializable

This defines the interface for the numerical integration of definite integrals of univariate functions.

See Also:

Wikipedia: Numerical integration

Method Summary

Modifier and Type	Method and Description
double	getPrecision() Get the convergence threshold.
double	integrate(UnivariateRealFunction f, double a, double b) Integrate function f from a to b, \[ \int_a^b\! f(x)\, dx \]

Method Detail

integrate

double integrate(UnivariateRealFunction f,
                 double a,
                 double b)

Integrate function f from a to b, \[ \int_a^b\! f(x)\, dx \]

Parameters:

f - a univariate function

a - the lower limit

b - the upper limit

Returns:

\(\int_a^b\! f(x)\, dx\)

getPrecision

double getPrecision()

Get the convergence threshold. The usage depends on the specific integrator. For example, for an IterativeIntegrator, the integral is considered converged if the relative error of two successive sums is less than the threshold.

Returns:

the precision