Scalar

This directory contains a simple implementations of scalar ODE solver using the PFASST framework. More...

Collaboration diagram for Scalar:

Modules
	Files
	This directory contains a simple implementations of scalar ODE solver using the PFASST framework.

Classes
class	pfasst::examples::scalar::ScalarSweeper< time >
	Sweeper for scalar test equation. More...

Functions
double	pfasst::examples::scalar::run_scalar_sdc (const size_t nsteps, const double dt, const size_t nnodes, const size_t niters, const complex< double > lambda, const quadrature::QuadratureType nodetype)
	Scalar test equation example using an encapsulated IMEX sweeper. More...

Detailed Description

This directory contains a simple implementations of scalar ODE solver using the PFASST framework.

The SDC sweeper is defined in scalar_sweeper.hpp. As this simple equation does not require any special handling, all the SDC magic is derived and taken from pfasst::encap::IMEXSweeper::sweep().

Function Documentation

double pfasst::examples::scalar::run_scalar_sdc	(	const size_t	nsteps,
		const double	dt,
		const size_t	nnodes,
		const size_t	niters,
		const complex< double >	lambda,
		const quadrature::QuadratureType	nodetype
	)

Scalar test equation example using an encapsulated IMEX sweeper.

Solves Dahlquist's test equation with single level SDC

\( u' = \lambda*u \quad\text{ , } u(0) = u_0 \)

with complex lambda, treating the real part implicitly and the imaginary part explicitly.

Definition at line 38 of file scalar_sdc.cpp.

References pfasst::Controller< time >::add_level(), pfasst::quadrature::quadrature_factory(), pfasst::SDC< time >::run(), pfasst::Controller< time >::set_duration(), and pfasst::Controller< time >::setup().

Referenced by main(), ConvergenceTest::SetUp(), and HighPrecisionTest::SetUp().

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