adaptive.h File Reference

#include "backend/memory.h"
#include "ode.h"
#include "runge_kutta.h"

Go to the source code of this file.

Classes
struct	dg::Adaptive< Stepper >
	Driver class for adaptive timestep ODE integration. More...
struct	dg::EntireDomain
	The domain that contains all points. More...
struct	dg::AdaptiveTimeloop< ContainerType >
	Integrate using a while loop. More...

Namespaces
namespace	dg
	This is the namespace for all functions and classes defined and used by the discontinuous Galerkin library.

Variables
static auto	dg::l2norm = [] ( const auto& x){ return sqrt( dg::blas1::dot(x,x));}
	Compute \( \sqrt{\sum_i x_i^2}\) using dg::blas1::dot.
static auto	dg::fast_l2norm
	Compute \( \sqrt{\sum_i x_i^2}\) using naive summation.
static auto	dg::i_control
	\( h_{n+1}= h_n \epsilon_n^{-1/p}\)
static auto	dg::pi_control
	\( h_{n+1}= h_n \epsilon_n^{-0.8/p}\epsilon_{n-1}^{0.31/p}\)
static auto	dg::pid_control
	\( h_{n+1}= h_n \epsilon_n^{-0.58/p}\epsilon_{n-1}^{0.21/p}\epsilon_{n-2}^{-0.1/p}\)
static auto	dg::ex_control
	\( h_{n+1} = h_n \epsilon_n^{-0.367/p}(\epsilon_n/\epsilon_{n-1})^{0.268/p} \)
static auto	dg::im_control
	\( h_{n+1} = h_n (h_n/h_{n-1}) \epsilon_n^{-0.98/p}(\epsilon_n/\epsilon_{n-1})^{-0.95/p} \)
static auto	dg::imex_control
	h_{n+1} = |ex_control| < |im_control| ? ex_control : im_control