Dumux::DoubleExponentialIntegrator< Scalar > Class Template Reference

Numerical integration in one dimension using the double exponential method of M. Mori. More...

#include <dumux/common/doubleexpintegrator.hh>

Description

template<class Scalar>
class Dumux::DoubleExponentialIntegrator< Scalar >

Numerical integration in one dimension using the double exponential method of M. Mori.

Static Public Member Functions
template<class Function , typename std::enable_if_t< std::is_invocable_r_v< Scalar, Function, Scalar > > ...>
static Scalar	integrate (const Function &f, const Scalar a, const Scalar b, const Scalar targetAbsoluteError, int &numFunctionEvaluations, Scalar &errorEstimate)
	Integrate an analytic function over a finite interval. More...
template<class Function , typename std::enable_if_t< std::is_invocable_r_v< Scalar, Function, Scalar > > ...>
static Scalar	integrate (const Function &f, const Scalar a, const Scalar b, const Scalar targetAbsoluteError)
	Integrate an analytic function over a finite interval. More...

Member Function Documentation

integrate() [1/2]

template<class Scalar >

template<class Function , typename std::enable_if_t< std::is_invocable_r_v< Scalar, Function, Scalar > > ...>

static Scalar Dumux::DoubleExponentialIntegrator< Scalar >::integrate ( const Function &  f, const Scalar  a, const Scalar  b, const Scalar  targetAbsoluteError  )

inlinestatic

Integrate an analytic function over a finite interval.

Note

This version overloaded to not require arguments passed in for function evaluation counts or error estimates.

Parameters

f	the integrand (invocable with a single scalar)
a	lower integral bound
b	upper integral bound
targetAbsoluteError	desired absolute error in the result

Returns

The value of the integral.

integrate() [2/2]

template<class Scalar >

template<class Function , typename std::enable_if_t< std::is_invocable_r_v< Scalar, Function, Scalar > > ...>

static Scalar Dumux::DoubleExponentialIntegrator< Scalar >::integrate ( const Function &  f, const Scalar  a, const Scalar  b, const Scalar  targetAbsoluteError, int &  numFunctionEvaluations, Scalar &  errorEstimate  )

inlinestatic

Integrate an analytic function over a finite interval.

Parameters

f	the integrand (invocable with a single scalar)
a	lower limit of integration
b	upper limit of integration
targetAbsoluteError	desired bound on error
numFunctionEvaluations	number of function evaluations used
errorEstimate	estimate for error in integration

Returns

The value of the integral

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The documentation for this class was generated from the following file:

• doubleexpintegrator.hh