Tempus Version of the Day
Time Integration
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van der Pol model formulated for IMEX-RK. More...
#include <VanDerPol_IMEX_ImplicitModel_decl.hpp>
Public Member Functions | |
VanDerPol_IMEX_ImplicitModel (Teuchos::RCP< Teuchos::ParameterList > pList=Teuchos::null) | |
Private functions overridden from ModelEvaluatorDefaultBase. | |
int | dim_ |
Number of state unknowns (2) | |
int | Np_ |
Number of parameter vectors (1) | |
int | np_ |
Number of parameters in this vector (1) | |
int | Ng_ |
Number of observation functions (0) | |
int | ng_ |
Number of elements in this observation function (0) | |
bool | haveIC_ |
false => no nominal values are provided (default=true) | |
bool | acceptModelParams_ |
Changes inArgs to require parameters. | |
bool | useDfDpAsTangent_ |
Treat DfDp OutArg as tangent (df/dx*dx/dp+df/dp) | |
bool | isInitialized_ |
Thyra::ModelEvaluatorBase::InArgs< Scalar > | inArgs_ |
Thyra::ModelEvaluatorBase::OutArgs< Scalar > | outArgs_ |
Thyra::ModelEvaluatorBase::InArgs< Scalar > | nominalValues_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | x_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | f_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | p_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | dxdp_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | g_space_ |
Scalar | epsilon_ |
This is a model parameter. | |
Scalar | t0_ic_ |
initial time | |
Scalar | x0_ic_ |
initial condition for x0 | |
Scalar | x1_ic_ |
initial condition for x1 | |
Thyra::ModelEvaluatorBase::OutArgs< Scalar > | createOutArgsImpl () const |
void | evalModelImpl (const Thyra::ModelEvaluatorBase::InArgs< Scalar > &inArgs_bar, const Thyra::ModelEvaluatorBase::OutArgs< Scalar > &outArgs_bar) const |
Public functions overridden from ModelEvaluator. | |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | get_x_space () const |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | get_f_space () const |
Thyra::ModelEvaluatorBase::InArgs< Scalar > | getNominalValues () const |
Teuchos::RCP< Thyra::LinearOpWithSolveBase< Scalar > > | create_W () const |
Teuchos::RCP< Thyra::LinearOpBase< Scalar > > | create_W_op () const |
Teuchos::RCP< const Thyra::LinearOpWithSolveFactoryBase< Scalar > > | get_W_factory () const |
Thyra::ModelEvaluatorBase::InArgs< Scalar > | createInArgs () const |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | get_p_space (int l) const |
Teuchos::RCP< const Teuchos::Array< std::string > > | get_p_names (int l) const |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | get_g_space (int j) const |
Public functions overridden from ParameterListAcceptor. | |
void | setParameterList (Teuchos::RCP< Teuchos::ParameterList > const ¶mList) |
Teuchos::RCP< const Teuchos::ParameterList > | getValidParameters () const |
void | setupInOutArgs_ () const |
van der Pol model formulated for IMEX-RK.
This is a canonical equation of a nonlinear oscillator (Hairer, Norsett, and Wanner, pp. 111-115, and Hairer and Wanner, pp. 4-5) for an electrical circuit. In implicit ODE form,
where the initial conditions are
and the initial time derivatives are
For an IMEX-RK time stepper, we need to rewrite this in the following form
where
where
Thus the explicit van der Pol model (VanDerPol_IMEX_ExplicitModel) formulated for IMEX is
and the implicit van der Pol model (VanDerPol_IMEX_ImplicitModel) formulated for IMEX is
Recalling the defintion of the iteration matrix,
where
we can write for the implicit van der Pol model (VanDerPol_IMEX_ImplicitModel)
Definition at line 107 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::VanDerPol_IMEX_ImplicitModel | ( | Teuchos::RCP< Teuchos::ParameterList > | pList = Teuchos::null | ) |
Definition at line 30 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_x_space | ( | ) | const |
Definition at line 61 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_f_space | ( | ) | const |
Definition at line 69 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::getNominalValues | ( | ) | const |
Definition at line 77 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< Thyra::LinearOpWithSolveBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::create_W | ( | ) | const |
Definition at line 87 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< Thyra::LinearOpBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::create_W_op | ( | ) | const |
Definition at line 125 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::LinearOpWithSolveFactoryBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_W_factory | ( | ) | const |
Definition at line 135 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::createInArgs | ( | ) | const |
Definition at line 146 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_p_space | ( | int | l | ) | const |
Definition at line 295 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Teuchos::Array< std::string > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_p_names | ( | int | l | ) | const |
Definition at line 311 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::get_g_space | ( | int | j | ) | const |
Definition at line 332 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
void Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::setParameterList | ( | Teuchos::RCP< Teuchos::ParameterList > const & | paramList | ) |
Definition at line 412 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
Teuchos::RCP< const Teuchos::ParameterList > Tempus_Test::VanDerPol_IMEX_ImplicitModel< Scalar >::getValidParameters | ( | ) | const |
Definition at line 443 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
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Definition at line 341 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
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Definition at line 159 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
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Definition at line 169 of file VanDerPol_IMEX_ImplicitModel_impl.hpp.
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Number of state unknowns (2)
Definition at line 152 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Number of parameter vectors (1)
Definition at line 153 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Number of parameters in this vector (1)
Definition at line 154 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Number of observation functions (0)
Definition at line 155 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Number of elements in this observation function (0)
Definition at line 156 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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false => no nominal values are provided (default=true)
Definition at line 157 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Changes inArgs to require parameters.
Definition at line 158 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Treat DfDp OutArg as tangent (df/dx*dx/dp+df/dp)
Definition at line 159 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 160 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 161 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 162 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 163 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 164 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 165 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 166 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 167 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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Definition at line 168 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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This is a model parameter.
Definition at line 171 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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initial time
Definition at line 172 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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initial condition for x0
Definition at line 173 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.
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initial condition for x1
Definition at line 174 of file VanDerPol_IMEX_ImplicitModel_decl.hpp.