QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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NumericalDifferentiation Class Reference

Numerical Differentiation on arbitrarily spaced grids. More...

#include <ql/methods/finitedifferences/operators/numericaldifferentiation.hpp>

Public Types

enum  Scheme { Central , Backward , Forward }

Public Member Functions

 NumericalDifferentiation (std::function< Real(Real)> f, Size orderOfDerivative, Array x_offsets)
 NumericalDifferentiation (std::function< Real(Real)> f, Size orderOfDerivative, Real stepSize, Size steps, Scheme scheme)
Real operator() (Real x) const
const Arrayoffsets () const
const Arrayweights () const

Detailed Description

Numerical Differentiation on arbitrarily spaced grids.

References:

B. Fornberg, 1988. Generation of Finite Difference Formulas on Arbitrarily Spaced Grids, http://amath.colorado.edu/faculty/fornberg/Docs/MathComp_88_FD_formulas.pdf