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Math::NIntegrate ā€” 05-Functional-ranges

Functional ranges

Motivation

Functional ranges definitely expand the integrals covered by "Math::NIntegrate" and (many) numerical integrator applications would rely on them.

TBF...

Constant vs functional ranges

The "Math::NIntegrate" framework uses the Composite Design Pattern for the variable transformations of region. [...]

All the constant ranges can be transformed at each variable transformator. I.e. each transformer of stack is transforms all constant ranges.

For functional boundaries we cannot go level-by-level as with the constant boundaries. We have to transform each coordinate fully first before computing the transformations of next one.

Math::NIntegrate v0.0.11

Raku package for numerical integration.

Authors

  • Anton Antonov

License

Artistic-2.0

Dependencies

Data::TransformersHash::Merge:ver<2.0.0>:api<2>LeftistHeapMath::Polynomial::Chebyshev

Test Dependencies

Provides

  • Math::NIntegrate
  • Math::NIntegrate::Builder
  • Math::NIntegrate::Codes
  • Math::NIntegrate::NumericalFunction
  • Math::NIntegrate::Processing::Actions::MethodSpec
  • Math::NIntegrate::Processing::Grammar
  • Math::NIntegrate::Region
  • Math::NIntegrate::Rule
  • Math::NIntegrate::Rule::Cartesian
  • Math::NIntegrate::Rule::ClenshawCurtis
  • Math::NIntegrate::Rule::DoubleExponential
  • Math::NIntegrate::Rule::GaussKronrod
  • Math::NIntegrate::Rule::General
  • Math::NIntegrate::Rule::MonteCarlo
  • Math::NIntegrate::Rule::MultiDimensional
  • Math::NIntegrate::Rule::NewtonCotes
  • Math::NIntegrate::Rule::Trapezoidal
  • Math::NIntegrate::Spec
  • Math::NIntegrate::Strategy
  • Math::NIntegrate::Strategy::AdaptiveMonteCarlo
  • Math::NIntegrate::Strategy::AdaptiveQuasiMonteCarlo
  • Math::NIntegrate::Strategy::Decorator
  • Math::NIntegrate::Strategy::DoubleExponential
  • Math::NIntegrate::Strategy::ErrorHandlish
  • Math::NIntegrate::Strategy::GlobalAdaptive
  • Math::NIntegrate::Strategy::LocalAdaptive
  • Math::NIntegrate::Strategy::MonteCarlo
  • Math::NIntegrate::Strategy::QuasiMonteCarlo
  • Math::NIntegrate::Strategy::Saturating
  • Math::NIntegrate::Strategy::Trapezoidal
  • Math::NIntegrate::Strategy::UnitCubeRescaling
  • Math::NIntegrate::Utilities
  • Math::NIntegrate::VariableTransformer
  • Math::NIntegrate::VariableTransformer::Affine
  • Math::NIntegrate::VariableTransformer::Composite
  • Math::NIntegrate::VariableTransformer::DoubleExponential
  • Math::NIntegrate::VariableTransformer::IMT
  • Math::NIntegrate::VariableTransformer::Infinite
  • Math::NIntegrate::VariableTransformer::Reverse

Documentation

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