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Time Integration
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van der Pol model formulated for the partitioned IMEX-RK. More...
#include <VanDerPol_IMEXPart_ImplicitModel_decl.hpp>
Public Member Functions | |
VanDerPol_IMEXPart_ImplicitModel (Teuchos::RCP< Teuchos::ParameterList > pList=Teuchos::null) | |
Private functions overridden from ModelEvaluatorDefaultBase. | |
int | dim_ |
Number of state unknowns (1) | |
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 | 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 > > | y_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | dxdp_space_ |
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > | dydp_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 the partitioned 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 a partitioned 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 the partitioned IMEX-RK is
and the implicit van der Pol model (VanDerPol_IMEXPart_ImplicitModel) formulated for the partitioned IMEX-RK is
Noting that
Recalling the defintion of the iteration matrix,
where
we can write for the implicit van der Pol model (VanDerPol_IMEXPart_ImplicitModel)
Definition at line 102 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::VanDerPol_IMEXPart_ImplicitModel | ( | Teuchos::RCP< Teuchos::ParameterList > | pList = Teuchos::null | ) |
Definition at line 30 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_x_space |
Definition at line 64 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_f_space |
Definition at line 72 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::getNominalValues |
Definition at line 80 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< Thyra::LinearOpWithSolveBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::create_W |
Definition at line 90 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< Thyra::LinearOpBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::create_W_op |
Definition at line 123 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::LinearOpWithSolveFactoryBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_W_factory |
Definition at line 134 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::createInArgs |
Definition at line 145 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_p_space | ( | int | l | ) | const |
Definition at line 298 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Teuchos::Array< std::string > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_p_names | ( | int | l | ) | const |
Definition at line 315 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::get_g_space | ( | int | j | ) | const |
Definition at line 336 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
void Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::setParameterList | ( | Teuchos::RCP< Teuchos::ParameterList > const & | paramList | ) |
Definition at line 415 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
Teuchos::RCP< const Teuchos::ParameterList > Tempus_Test::VanDerPol_IMEXPart_ImplicitModel< Scalar >::getValidParameters |
Definition at line 440 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
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Definition at line 345 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
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Definition at line 158 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
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Definition at line 168 of file VanDerPol_IMEXPart_ImplicitModel_impl.hpp.
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Number of state unknowns (1)
Definition at line 147 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Number of parameter vectors (1)
Definition at line 148 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Number of parameters in this vector (1)
Definition at line 149 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Number of observation functions (0)
Definition at line 150 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Number of elements in this observation function (0)
Definition at line 151 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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false => no nominal values are provided (default=true)
Definition at line 152 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Treat DfDp OutArg as tangent (df/dx*dx/dp+df/dp)
Definition at line 153 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 154 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 155 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 156 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 157 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 158 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 159 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 160 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 161 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 162 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 163 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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Definition at line 164 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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This is a model parameter.
Definition at line 167 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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initial time
Definition at line 168 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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initial condition for x0
Definition at line 169 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.
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initial condition for x1
Definition at line 170 of file VanDerPol_IMEXPart_ImplicitModel_decl.hpp.