AdamsMoulton::AM_Coefs< K, typename, typename >

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template<std::size_t K, typename = std::enable_if_t<(K > 0)>, typename = std::enable_if_t<(K <= K_max)>>
struct AdamsMoulton::AM_Coefs< K, typename, typename >

Holds the K+1 Adams-Moulton coefficients for the K-step AM method.

The Adams coefficients a_k are defined such that:

\[ F_{n+K} = F_{n+K-1} + dx \sum_{k=0}^{K} a_k y_{n+k}, \quad y \equiv \frac{dF}{dr} \]

The order of the coefficients is reversed compared to some sources. The final coefficient a_K is stored separately:

\[ a_k = b_k / \text{denom}, \quad k = 0, 1, \ldots, K-1 \]

\[ a_K = b_K / \text{denom} \]

All coefficients are stored as doubles regardless of other template parameters.

#include <AdamsMoulton.hpp>

Static Public Attributes
static constexpr std::array< double, K >	ak {make_ak()}
	First K coefficients: ak for k={0,1,...,K-1}.
static constexpr double	aK {make_aK()}
	Final aK coefficients: ak for k=K.

Member Data Documentation

ak

template<std::size_t K, typename = std::enable_if_t<(K > 0)>, typename = std::enable_if_t<(K <= K_max)>>

constexpr std::array<double, K> AdamsMoulton::AM_Coefs< K, typename, typename >::ak {make_ak()}

staticconstexpr

First K coefficients: ak for k={0,1,...,K-1}.

aK

template<std::size_t K, typename = std::enable_if_t<(K > 0)>, typename = std::enable_if_t<(K <= K_max)>>

constexpr double AdamsMoulton::AM_Coefs< K, typename, typename >::aK {make_aK()}

staticconstexpr

Final aK coefficients: ak for k=K.

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

• DiracODE/AdamsMoulton.hpp