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Math::NIntegrate ā€” 03-Global-adaptive-implementation

GlobalAdaptive algorithm implementation

  • This the primary algorithm of the "Math::NIntegrate" framework.

  • I implemented "LeftistHeap" a few weeks before my serious work "Math::NIntegrate" started.

    • For the purposes of "Graph" use in/with Rakupp, but also because of the need to have a heap in NIntegrate.

  • Pretty straightforward implementation if region splitting and integration are implemented.

  • Initially, the implementation was without the min-recursion partitioning and the without singularity handler application.

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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