Uses of Interface
dev.nm.analysis.integration.univariate.riemann.substitution.SubstitutionRule
-
Packages that use SubstitutionRule Package Description dev.nm.analysis.integration.univariate.riemann dev.nm.analysis.integration.univariate.riemann.substitution -
-
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 doubleRiemann. 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 classDoubleExponentialThis transformation speeds up the convergence of the Trapezoidal Rule exponentially.classDoubleExponential4HalfRealLineThis transformation is good for the region \((0, +\infty)\).classDoubleExponential4RealLineThis transformation is good for the region \((-\infty, +\infty)\).classExponentialThis transformation is good for when the lower limit is finite, the upper limit is infinite, and the integrand falls off exponentially.classInvertingVariableThis is the inverting-variable transformation.classMixedRuleThe mixed rule is good for functions that fall off rapidly at infinity, e.g., \(e^{x^2}\) or \(e^x\) The integral region is \((0, +\infty)\).classNoChangeOfVariableThis is a dummy substitution rule that does not change any variable.classPowerLawSingularityThis transformation is good for an integral which diverges at one of the end points.classStandardIntervalThis transformation is for mapping integral region from [a, b] to [-1, 1].
-