central_second_derivative() [1/2]

template<typename T >

T MayaFlux::Kinesis::central_second_derivative ( const Memory::HistoryBuffer< T > &  history, double  dt  )

inlinenoexcept

Central difference approximation of the second derivative.

Template Parameters

T	Sample type

Parameters

history	Buffer with capacity >= 3
dt	Elapsed time between consecutive samples

Returns

(history[0] - 2*history[1] + history[2]) / dt^2

Identical stencil to acceleration() since the standard central second difference and backward second difference coincide at this order. Provided as a named alias so call sites documenting derivation against central-difference tables do not need to reach for acceleration().

Definition at line 136 of file Differential.hpp.

{
    return backward_difference<2>(history, dt);
}

Referenced by central_second_derivative().

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