Spectral propagtor in time. Refer to documentation of file spectralprop.h for math detail. More...

Public Member Functions
	SpectralPropagator (int NPT)
	Construct propagator using `NPT` points. More...

	~SpectralPropagator ()

template<typename uT , typename expLT , typename NT >
uT	step (double t, double Delta, const uT &u0, const expLT &expL, const NT &N, const double eps=1e-12, bool doprint=false, bool recurinit=true)
	Step forward in time from to $t+\Delta$ . More...

Detailed Description

Spectral propagtor in time. Refer to documentation of file spectralprop.h for math detail.

Constructor & Destructor Documentation

madness::SpectralPropagator::SpectralPropagator ( int NPT )

inline

Construct propagator using NPT points.

madness::SpectralPropagator::~SpectralPropagator ( )

inline

template<typename uT , typename expLT , typename NT >

uT madness::SpectralPropagator::step	(	double	t,
		double	Delta,
		const uT &	u0,
		const expLT &	expL,
		const NT &	N,
		const double	eps = `1e-12`,
		bool	doprint = `false`,
		bool	recurinit = `true`
	)

inline

Step forward in time from $ t $ to $t+\Delta$ .

The template types should be automatically inferred from the invocation. uT is the C++ type for the solution.

Parameters

[in]	t	The current time
[in]	Delta	The time step
[in]	u0	The solution at the current time
[in]	expL	A function or functor to compute $\exp{\tau \hat{L}} u$ for $\tau \in (0,\Delta)$
[in]	N	A function to compute the non-linear part
[in]	eps	Threshold for convergence of iteration on norm of change in solution at last quadrature point.
[in]	doprint	If true will print some info on convergence
[in]	recurinit	If true initial guess is recursion from lower order quadrature instead of default explicit rule

The user provided operators are invoked as

uT expL(double tau, const uT& u)

where $\tau \in (0,\Delta)$ and

uT N(double T, const uT& u)

where $T \in (t,t+\Delta)$ and $ u $ is a trial solution at time $ T $ .

References k, N, and madness::print().

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