| Name | Description | Type | Package | Framework |
| DoubleExponential | This transformation speeds up the convergence of the Trapezoidal Rule exponentially. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| DoubleExponential4HalfRealLine | This transformation is good for the region ((0, +infty)). | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| DoubleExponential4RealLine | This transformation is good for the region ((-infty, +infty)). | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| Exponential | This transformation is good for when the lower limit is finite, the upper limit is infinite, and the integrand falls off exponentially. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| InvertingVariable | This is the inverting-variable transformation. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| MixedRule | The mixed rule is good for functions that fall off rapidly at infinity, e. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| NoChangeOfVariable | This is a dummy substitution rule that does not change any variable. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| PowerLawSingularity | This transformation is good for an integral which diverges at one of the end points. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| PowerLawSingularity .PowerLawSingularityType | the type of end point divergenceReturns the enum constant of this type with the specified nam | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| StandardInterval | This transformation is for mapping integral region from [a, b] to [-1, 1]. | Class | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |
| SubstitutionRule | A substitution rule specifies (x(t)) and (frac{mathrm{d} x}{mathrm{d} t}). | Interface | com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution | SuanShu |