Class TrapezoidalIntegrator

java.lang.Object

org.episteme.core.mathematics.analysis.integration.TrapezoidalIntegrator

All Implemented Interfaces:

Integrator

public class TrapezoidalIntegrator
extends Object
implements Integrator

Trapezoidal rule integration.

Simple, fast numerical integration using the trapezoidal rule. Less accurate than adaptive methods but computationally efficient.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
TrapezoidalIntegrator()	Creates a trapezoidal integrator with default number of intervals.
TrapezoidalIntegrator(int intervals)	Creates a trapezoidal integrator with specified intervals.

Method Summary

Modifier and Type	Method	Description
Real	integrate(RealFunction f, Real a, Real b)	Computes the definite integral of a function over [a, b].
Real	integrate(RealFunction f, Real a, Real b, Real tolerance)	Computes the definite integral with specified tolerance.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

TrapezoidalIntegrator

public TrapezoidalIntegrator()

Creates a trapezoidal integrator with default number of intervals.

TrapezoidalIntegrator

public TrapezoidalIntegrator(int intervals)

Creates a trapezoidal integrator with specified intervals.

Parameters:

intervals - number of subdivisions

Method Details

integrate

public Real integrate(RealFunction f,
 Real a,
 Real b)

Description copied from interface: Integrator

Computes the definite integral of a function over [a, b].

Specified by:

integrate in interface Integrator

Parameters:

f - the function to integrate

a - the lower bound

b - the upper bound

Returns:

the approximate value of the integral

integrate

public Real integrate(RealFunction f,
 Real a,
 Real b,
 Real tolerance)

Description copied from interface: Integrator

Computes the definite integral with specified tolerance.

Specified by:

integrate in interface Integrator

Parameters:

f - the function to integrate

a - the lower bound

b - the upper bound

tolerance - the desired accuracy

Returns:

the approximate value of the integral