de.torstennahm.integrate.quadratureformula
Class OpenTrapezoidal

java.lang.Object
  de.torstennahm.integrate.quadratureformula.AbstractCachedGenerator
      de.torstennahm.integrate.quadratureformula.OpenTrapezoidal

All Implemented Interfaces:

Generator

public class OpenTrapezoidal
extends AbstractCachedGenerator

This class generates weights for the modified trapezoidal quadrature formula for the open interval ]0,1[. For n nodes, n>1, the nodes will lie at 1/(n+1), 2/(n+1), ..., n/(n+1). The weights are 1/(n+1) for all internal nodes and 1.5/(n+1) for the first and the last node. For n=1, the single (node, weight) pair is (0.5,1).

According to general Generator contract, this class is thread-safe.

Author:

Torsten Nahm

Field Summary

Fields inherited from class de.torstennahm.integrate.quadratureformula.AbstractCachedGenerator

levelCache, weightsCache

Constructor Summary

OpenTrapezoidal()

Method Summary

QuadratureFormula	generateByLevel(int levelRequested)
QuadratureFormula	generateByNodes(int nodesRequested)
int	maxLevel() Returns the maximum argument supported by getByLevel.
int	maxNodes() Returns the maximum argument supported by getByNodes.
java.lang.String	toString()

Methods inherited from class de.torstennahm.integrate.quadratureformula.AbstractCachedGenerator

getByLevel, getByNodes

Methods inherited from class java.lang.Object

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

Constructor Detail

OpenTrapezoidal

public OpenTrapezoidal()

Method Detail

maxLevel

public int maxLevel()

Description copied from interface: Generator

Returns the maximum argument supported by getByLevel.

Returns:

maximum level, or -1 for no maximum

maxNodes

public int maxNodes()

Description copied from interface: Generator

Returns the maximum argument supported by getByNodes.

Returns:

maximum number of nodes, or -1 for no maximum

generateByLevel

public QuadratureFormula generateByLevel(int levelRequested)

Specified by:

generateByLevel in class AbstractCachedGenerator

generateByNodes

public QuadratureFormula generateByNodes(int nodesRequested)

Specified by:

generateByNodes in class AbstractCachedGenerator

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object