Index

A

abs() (EvalData method) add() (EvalData method) add_to() (CanonicalEquation method) (CanonicalForm method)

AddMulFunction (class in pyinduct.eigenfunctions) adjust_input_vectors() (EvalData method)

B

back_project_from_base() (in module pyinduct.core) Base (class in pyinduct.core)

BaseFraction (class in pyinduct.core) bounds (Domain attribute)

C

calculate_base_transformation_matrix() (in module pyinduct.core) calculate_eigenvalues() (SecondOrderEigenVector static method) calculate_expanded_base_transformation_matrix() (in module pyinduct.core) calculate_scalar_product_matrix() (in module pyinduct.core) CanonicalEquation (class in pyinduct.simulation) CanonicalForm (class in pyinduct.simulation) change_projection_base() (in module pyinduct.core) clear_cache() (SimulationInput method) coefficient_recursion() (in module pyinduct.trajectory) ComposedFunctionVector (class in pyinduct.core) compute_rad_robin_eigenfrequencies() (in module pyinduct.parabolic.general) ConstantTrajectory (class in pyinduct.trajectory) Controller (class in pyinduct.control)

convert_to_characteristic_root() (SecondOrderEigenVector static method) convert_to_eigenvalue() (SecondOrderEigenVector static method) convert_to_state_space() (CanonicalForm method) create_animation() (in module pyinduct.utils) create_colormap() (in module pyinduct.visualization) create_dir() (in module pyinduct.utils) create_state_space() (in module pyinduct.simulation) cure_interval() (in module pyinduct.shapefunctions) (LagrangeFirstOrder static method) (LagrangeNthOrder static method) (LagrangeSecondOrder static method) (SecondOrderEigenVector static method) (pyinduct.eigenfunctions.SecondOrderEigenfunction class method) (pyinduct.shapefunctions.ShapeFunction class method)

D

deregister_base() (in module pyinduct.registry) derivative() (Placeholder method) derivative_handles (Function attribute) derive() (Base method) (BaseFraction method) (Function method)

Domain (class in pyinduct.core) dominant_form (CanonicalEquation attribute) dot_product_l2() (in module pyinduct.core)

E

eigfreq_eigval_hint() (SecondOrderDirichletEigenfunction static method) (SecondOrderEigenfunction static method) (SecondOrderRobinEigenfunction static method) eigval_tf_eigfreq() (SecondOrderEigenfunction static method)

eliminate_advection_term() (in module pyinduct.parabolic.general) EvalData (class in pyinduct.core) evaluate_approximation() (in module pyinduct.simulation) evaluation_hint() (Function method) exported_files (PgAnimatedPlot attribute)

F

FieldVariable (class in pyinduct.placeholder) finalize() (CanonicalEquation method) (CanonicalForm method) finalize_dynamic_forms() (CanonicalEquation method) find_roots() (in module pyinduct.core) FiniteTransformFunction (class in pyinduct.eigenfunctions)

from_constant() (Function static method) from_data() (Function static method) from_dict() (SecondOrderOperator static method) from_list() (SecondOrderOperator static method) from_scalar() (ScalarFunction static method) Function (class in pyinduct.core) function_handle (Function attribute)

G

generic_scalar_product() (in module pyinduct.core) get_adjoint_problem() (SecondOrderEigenfunction static method) (SecondOrderOperator method) get_arg_by_class() (Product method) get_attribute() (Base method) get_base() (in module pyinduct.registry) get_dynamic_terms() (CanonicalEquation method) get_in_domain_transformation_matrix() (in module pyinduct.parabolic.general) get_member() (BaseFraction method) (ComposedFunctionVector method) (Function method) (StackedBase method)

get_parabolic_dirichlet_weak_form() (in module pyinduct.parabolic.general) get_parabolic_robin_backstepping_controller() (in module pyinduct.parabolic.control) get_parabolic_robin_weak_form() (in module pyinduct.parabolic.general) get_plot() (InterpolationTrajectory method) get_results() (SimulationInput method) get_sim_result() (in module pyinduct.simulation) get_sim_results() (in module pyinduct.simulation) get_static_terms() (CanonicalEquation method) get_terms() (CanonicalForm method) gevrey_tanh() (in module pyinduct.trajectory)

I

Input (class in pyinduct.placeholder) input_functions (CanonicalEquation attribute) (CanonicalForm attribute)

IntegralTerm (class in pyinduct.placeholder) interpolate() (EvalData method) InterpolationTrajectory (class in pyinduct.trajectory) is_registered() (in module pyinduct.registry)

L

LagrangeFirstOrder (class in pyinduct.shapefunctions) LagrangeNthOrder (class in pyinduct.shapefunctions)

LagrangeSecondOrder (class in pyinduct.shapefunctions) LambdifiedSympyExpression (class in pyinduct.eigenfunctions) LawEvaluator (class in pyinduct.control)

M

matmul() (EvalData method) MplSlicePlot (class in pyinduct.visualization)

MplSurfacePlot (class in pyinduct.visualization) mul() (EvalData method)

N

ndim (Domain attribute)

normalize_base() (in module pyinduct.core)

P

Parameters (class in pyinduct.core) parse_weak_formulation() (in module pyinduct.simulation) parse_weak_formulations() (in module pyinduct.simulation) PgAnimatedPlot (class in pyinduct.visualization) PgSurfacePlot (class in pyinduct.visualization) Placeholder (class in pyinduct.placeholder) points (Domain attribute) power_series() (in module pyinduct.trajectory) Product (class in pyinduct.placeholder) project_on_base() (in module pyinduct.core) pyinduct.control (module) pyinduct.core (module)

pyinduct.eigenfunctions (module) pyinduct.examples.multiple_pde (module) pyinduct.parabolic.control (module) pyinduct.parabolic.general (module) pyinduct.parabolic.trajectory (module) pyinduct.placeholder (module) pyinduct.registry (module) pyinduct.shapefunctions (module) pyinduct.simulation (module) pyinduct.trajectory (module) pyinduct.utils (module) pyinduct.visualization (module)

R

raise_to() (Base method) (BaseFraction method) (Function method)

real() (in module pyinduct.core) register_base() (in module pyinduct.registry) rhs() (StateSpace method)

S

sanitize_input() (in module pyinduct.core) scalar_product_hint() (Base method) (BaseFraction method) (ComposedFunctionVector method) (Function method) (StackedBase method) ScalarFunction (class in pyinduct.placeholder) Scalars (class in pyinduct.placeholder) ScalarTerm (class in pyinduct.placeholder) scale() (Base method) (BaseFraction method) (ComposedFunctionVector method) (Function method) (InterpolationTrajectory method) (StackedBase method) SecondOrderDirichletEigenfunction (class in pyinduct.eigenfunctions) SecondOrderEigenfunction (class in pyinduct.eigenfunctions) SecondOrderEigenVector (class in pyinduct.eigenfunctions) SecondOrderOperator (class in pyinduct.eigenfunctions)

SecondOrderRobinEigenfunction (class in pyinduct.eigenfunctions) set_dominant_labels() (in module pyinduct.simulation) set_input_function() (CanonicalEquation method) (CanonicalForm method) ShapeFunction (class in pyinduct.shapefunctions) show() (in module pyinduct.visualization) SignalGenerator (class in pyinduct.trajectory) simulate_state_space() (in module pyinduct.simulation) simulate_system() (in module pyinduct.simulation) simulate_systems() (in module pyinduct.simulation) SimulationInput (class in pyinduct.simulation) SimulationInputSum (class in pyinduct.simulation) SmoothTransition (class in pyinduct.trajectory) split_domain() (in module pyinduct.parabolic.control) sqrt() (EvalData method) StackedBase (class in pyinduct.core) StateSpace (class in pyinduct.simulation) static_form (CanonicalEquation attribute) step (Domain attribute) sub() (EvalData method)

T

temporal_derived_power_series() (in module pyinduct.trajectory) TestFunction (class in pyinduct.placeholder)

transformation_hint() (Base method) (StackedBase method) TransformedSecondOrderEigenfunction (class in pyinduct.eigenfunctions)

V

visualize_functions() (in module pyinduct.visualization)

visualize_roots() (in module pyinduct.visualization)

W

WeakFormulation (class in pyinduct.simulation)