Interface GaussianQuadratureRule
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- All Known Implementing Classes:
ChebyshevRule,HermiteRule,LaguerreRule,LegendreRule
public interface GaussianQuadratureRuleThis interface defines a Gaussian quadrature rule used in Gaussian quadrature.
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Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description double[]getCoefficients()Get the coefficients \(c_i\) associated with each evaluation point \(x_i\).double[]getEvaluationPoints()Get the evaluation points for the quadrature rule (\(x_i\)).doublegetWeighting(double x)Get the weighting \(w(x_i)\) associated with a point \(x_i\).booleansupportsInterval(double a, double b)Return whether the given interval (a,b) is supported by this rule.
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Method Detail
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getEvaluationPoints
double[] getEvaluationPoints()
Get the evaluation points for the quadrature rule (\(x_i\)).- Returns:
- the evaluation points
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getCoefficients
double[] getCoefficients()
Get the coefficients \(c_i\) associated with each evaluation point \(x_i\).- Returns:
- the coefficients of the evaluation points
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getWeighting
double getWeighting(double x)
Get the weighting \(w(x_i)\) associated with a point \(x_i\).- Parameters:
x- the evaluation point- Returns:
- the weighting of the given evaluation point \(w(x)\)
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supportsInterval
boolean supportsInterval(double a, double b)Return whether the given interval (a,b) is supported by this rule.- Parameters:
a- the start point of the intervalb- the end point of the interval- Returns:
trueif the interval is supported
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