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

All Known Subinterfaces:

IterativeIntegrator

All Known Implementing Classes:

ChangeOfVariable, EulerMaclaurin, Midpoint, Riemann, Romberg, Simpson, Trapezoidal

public interface Integrator

This is the interface for numerical integration of univariate functions. A broad family of algorithms for calculating the numerical value of a definite integral implements this interface.

See Also:

Wikipedia: Numerical integration

Method Summary

double	integrate(UnivariateRealFunction f, double a, double b) Integrate function f from a to b.
double	precision() Get the convergence threshold.

Method Detail

integrate

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

Integrate function f from a to b.

 / b
 |   f(x) dx
 / a
 

Parameters:

f - a univariate function

a - lower limit

b - upper limit

Returns:

Σ(f(x))

precision

double precision()

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