Uses of Interface
dev.nm.analysis.integration.univariate.riemann.substitution.SubstitutionRule
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Packages that use SubstitutionRule Package Description dev.nm.analysis.integration.univariate.riemann dev.nm.analysis.integration.univariate.riemann.substitution -
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Uses of SubstitutionRule in dev.nm.analysis.integration.univariate.riemann
Methods in dev.nm.analysis.integration.univariate.riemann with parameters of type SubstitutionRule Modifier and Type Method Description double
Riemann. integrate(UnivariateRealFunction f, double a, double b, SubstitutionRule change)
Integrate a function, f, from a to b possibly using change of variable.Constructors in dev.nm.analysis.integration.univariate.riemann with parameters of type SubstitutionRule Constructor Description ChangeOfVariable(SubstitutionRule change, Integrator integrator)
Construct an integrator that uses change of variable to do integration. -
Uses of SubstitutionRule in dev.nm.analysis.integration.univariate.riemann.substitution
Classes in dev.nm.analysis.integration.univariate.riemann.substitution that implement SubstitutionRule Modifier and Type Class Description class
DoubleExponential
This transformation speeds up the convergence of the Trapezoidal Rule exponentially.class
DoubleExponential4HalfRealLine
This transformation is good for the region \((0, +\infty)\).class
DoubleExponential4RealLine
This transformation is good for the region \((-\infty, +\infty)\).class
Exponential
This transformation is good for when the lower limit is finite, the upper limit is infinite, and the integrand falls off exponentially.class
InvertingVariable
This is the inverting-variable transformation.class
MixedRule
The mixed rule is good for functions that fall off rapidly at infinity, e.g., \(e^{x^2}\) or \(e^x\) The integral region is \((0, +\infty)\).class
NoChangeOfVariable
This is a dummy substitution rule that does not change any variable.class
PowerLawSingularity
This transformation is good for an integral which diverges at one of the end points.class
StandardInterval
This transformation is for mapping integral region from [a, b] to [-1, 1].
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