A class for numeric differentiation with respect to a scalar parameter.
#include <dumux/common/numericdifferentiation.hh>
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| template<class Scalar> |
| static Scalar | epsilon (const Scalar value, const Scalar baseEps=1e-10) |
| | Computes the epsilon used for numeric differentiation.
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| template<class Function, class Scalar, class FunctionEvalType> |
| static void | partialDerivative (const Function &function, Scalar x0, FunctionEvalType &derivative, const FunctionEvalType &fx0, const int numericDifferenceMethod=1) |
| | Computes the derivative of a function with respect to a function parameter.
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| template<class Function, class Scalar, class FunctionEvalType> |
| static void | partialDerivative (const Function &function, Scalar x0, FunctionEvalType &derivative, const FunctionEvalType &fx0, const Scalar eps, const int numericDifferenceMethod=1) |
| | Computes the derivative of a function with respect to a function parameter.
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◆ epsilon()
template<class Scalar>
| static Scalar Dumux::NumericDifferentiation::epsilon |
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const Scalar | value, |
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const Scalar | baseEps = 1e-10 ) |
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inlinestatic |
- Parameters
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| value | The value of the variable with respect to which we are differentiating |
| baseEps | The step width which we are using for differentiation |
◆ partialDerivative() [1/2]
template<class Function, class Scalar, class FunctionEvalType>
| static void Dumux::NumericDifferentiation::partialDerivative |
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const Function & | function, |
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Scalar | x0, |
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FunctionEvalType & | derivative, |
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const FunctionEvalType & | fx0, |
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const int | numericDifferenceMethod = 1 ) |
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inlinestatic |
- Note
- Overload using default epsilon computation
◆ partialDerivative() [2/2]
template<class Function, class Scalar, class FunctionEvalType>
| static void Dumux::NumericDifferentiation::partialDerivative |
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const Function & | function, |
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Scalar | x0, |
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FunctionEvalType & | derivative, |
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const FunctionEvalType & | fx0, |
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const Scalar | eps, |
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const int | numericDifferenceMethod = 1 ) |
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inlinestatic |
- Parameters
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| function | The function to derive |
| x0 | The parameter at which the derivative is ought to be evaluated |
| derivative | The partial derivative (output) |
| fx0 | The result of the function evaluated at x0 |
| eps | The numeric epsilon used in the differentiation |
| numericDifferenceMethod | The numeric difference method (1: forward differences (default), 0: central differences, -1: backward differences, 5: five-point stencil method) |
The documentation for this class was generated from the following file: