Index

A

AdaptiveTimeStepper (class in irksome.stage_derivative) add_degrees() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) advance() (irksome.base_time_stepper.BaseTimeStepper method) (irksome.base_time_stepper.StageCoupledTimeStepper method) (irksome.dirk_stepper.DIRKTimeStepper method) (irksome.DIRKIMEXMethod method) (irksome.DIRKNystromTimeStepper method) (irksome.DIRKTimeStepper method) (irksome.imex.DIRKIMEXMethod method) (irksome.imex.RadauIIAIMEXMethod method) (irksome.nystrom_dirk_stepper.DIRKNystromTimeStepper method) (irksome.RadauIIAIMEXMethod method) (irksome.stage_derivative.AdaptiveTimeStepper method)

AI() (in module irksome.tools) Alexander (class in irksome) apply_time_derivatives() (in module irksome.ufl.deriv) apply_time_quadrature_labels() (in module irksome.labeling) ARS_DIRK_IMEX (class in irksome) as_form() (in module irksome.labeling)

B

Backend (class in irksome.backend) Backend.MeshConstant (class in irksome.backend) BackwardEuler (class in irksome) BaseTimeStepper (class in irksome.base_time_stepper)

bc2space() (in module irksome.bcs) BCStageData() (in module irksome.bcs) BoundsConstrainedDirichletBC (class in irksome) (class in irksome.bcs) butcher_to_nystrom() (in module irksome.nystrom_stepper)

C

check_integrals() (in module irksome.ufl.manipulation) ClassicNystrom4Tableau (class in irksome) (class in irksome.nystrom_stepper) ClinesBase (class in irksome) (class in irksome.pc) ClinesLD (class in irksome) (class in irksome.pc) conditional() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) Constant() (irksome.backend.Backend.MeshConstant method) (irksome.backends.firedrake.MeshConstant method)

constant() (irksome.ufl.deriv.TimeDerivativeRuleset method) ConstantOrZero() (in module irksome.constant) (irksome.backend.Backend method) ContinuousPetrovGalerkinScheme (class in irksome) (class in irksome.scheme) ContinuousPetrovGalerkinTimeStepper (class in irksome) (class in irksome.galerkin_stepper) create_time_quadrature() (in module irksome) (in module irksome.scheme)

D

default_value (irksome.labeling.TimeQuadratureLabel attribute) (irksome.TimeQuadratureLabel attribute) DIRK_IMEX (class in irksome) DIRKIMEXMethod (class in irksome) (class in irksome.imex) DIRKNystromTimeStepper (class in irksome) (class in irksome.nystrom_dirk_stepper) DIRKTimeStepper (class in irksome) (class in irksome.dirk_stepper)

DiscontinuousGalerkinScheme (class in irksome) (class in irksome.scheme) DiscontinuousGalerkinTimeStepper (class in irksome) (class in irksome.discontinuous_galerkin_stepper) dot() (in module irksome.tools) Dt() (in module irksome) (in module irksome.ufl.deriv)

E

EmbeddedBCData() (in module irksome.bcs) estimate_time_degree() (in module irksome.ufl.estimate_degrees) expand_time_derivatives() (in module irksome) (in module irksome.ufl.deriv)

ExplicitNystromTimeStepper (class in irksome) (class in irksome.nystrom_dirk_stepper) ExplicitTimeStepper (class in irksome.explicit_stepper) extract_bcs() (in module irksome.bcs) extract_terms() (in module irksome.ufl.manipulation)

F

fields_to_components() (in module irksome.tools) flatten_dats() (in module irksome.tools) form() (irksome.IRKAuxiliaryOperatorPC method) (irksome.NystromAuxiliaryOperatorPC method) (irksome.pc.IRKAuxiliaryOperatorPC method) (irksome.pc.NystromAuxiliaryOperatorPC method) (irksome.ufl.estimate_degrees.TimeDegreeEstimator method)

formsum() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) function_arg (irksome.bcs.BoundsConstrainedDirichletBC property) (irksome.BoundsConstrainedDirichletBC property)

G

GalerkinCollocationScheme (class in irksome) (class in irksome.scheme) GalerkinScheme (class in irksome.scheme) GaussLegendre (class in irksome) get_backend() (in module irksome.backend) get_degree_mapping() (in module irksome.ufl.estimate_degrees) get_form_and_bcs() (irksome.base_time_stepper.StageCoupledTimeStepper method) (irksome.ContinuousPetrovGalerkinTimeStepper method) (irksome.dirk_stepper.DIRKTimeStepper method) (irksome.DIRKTimeStepper method) (irksome.discontinuous_galerkin_stepper.DiscontinuousGalerkinTimeStepper method) (irksome.DiscontinuousGalerkinTimeStepper method) (irksome.galerkin_stepper.ContinuousPetrovGalerkinTimeStepper method) (irksome.imex.RadauIIAIMEXMethod method) (irksome.nystrom_stepper.StageDerivativeNystromTimeStepper method) (irksome.RadauIIAIMEXMethod method) (irksome.stage_derivative.StageDerivativeTimeStepper method) (irksome.stage_value.StageValueTimeStepper method) (irksome.StageDerivativeNystromTimeStepper method) (irksome.StageValueTimeStepper method) get_function_space() (in module irksome.backends.firedrake) (irksome.backend.Backend method) get_mesh_constant() (in module irksome.backends.firedrake) (irksome.backend.Backend method) get_points() (irksome.labeling.TimeQuadratureRule method) get_stage_bounds() (irksome.base_time_stepper.StageCoupledTimeStepper method) get_stage_space() (in module irksome.tools) get_stages() (in module irksome.backends.firedrake) (irksome.backend.Backend method) (irksome.base_time_stepper.StageCoupledTimeStepper method) get_sub() (in module irksome.bcs) get_update_solver() (irksome.stage_value.StageValueTimeStepper method) (irksome.StageValueTimeStepper method)

get_weights() (irksome.labeling.TimeQuadratureRule method) getAtilde() (irksome.IRKAuxiliaryOperatorPC method) (irksome.pc.IRKAuxiliaryOperatorPC method) (irksome.pc.RanaDU method) (irksome.pc.RanaLD method) (irksome.RanaDU method) (irksome.RanaLD method) getAtildes() (irksome.ClinesLD method) (irksome.NystromAuxiliaryOperatorPC method) (irksome.pc.ClinesLD method) (irksome.pc.NystromAuxiliaryOperatorPC method) getElement() (in module irksome.discontinuous_galerkin_stepper) getElements() (in module irksome.galerkin_stepper) getForm() (in module irksome) (in module irksome.stage_derivative) getFormDIRK() (in module irksome.dirk_stepper) getFormDIRKNystrom() (in module irksome.nystrom_dirk_stepper) getFormDiscGalerkin() (in module irksome.discontinuous_galerkin_stepper) getFormExplicit() (in module irksome.imex) getFormGalerkin() (in module irksome.galerkin_stepper) getFormNystrom() (in module irksome.nystrom_stepper) getFormsDIRKIMEX() (in module irksome.imex) getFormStage() (in module irksome.stage_value) getNewForm() (irksome.IRKAuxiliaryOperatorPC method) (irksome.NystromAuxiliaryOperatorPC method) (irksome.pc.IRKAuxiliaryOperatorPC method) (irksome.pc.NystromAuxiliaryOperatorPC method) getNullspace() (in module irksome.tools) getTermDiscGalerkin() (in module irksome.discontinuous_galerkin_stepper) getTermGalerkin() (in module irksome.galerkin_stepper) getTrialElement() (in module irksome.galerkin_stepper)

H

has_quad_labels() (in module irksome.labeling)

I

IA() (in module irksome.tools) imex_separation() (in module irksome.stepper) integral() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) IntegratedLagrange (class in irksome.integrated_lagrange) IntegratedLagrangeDualSet (class in irksome.integrated_lagrange) interpolate() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) IRKAuxiliaryOperatorPC (class in irksome) (class in irksome.pc) irksome module irksome.backend module irksome.backends module irksome.backends.dolfinx module irksome.backends.firedrake module irksome.base_time_stepper module irksome.bcs module irksome.constant module irksome.dirk_stepper module irksome.discontinuous_galerkin_stepper module irksome.explicit_stepper module irksome.galerkin_stepper module irksome.imex module

irksome.integrated_lagrange module irksome.labeling module irksome.nystrom_dirk_stepper module irksome.nystrom_stepper module irksome.pc module irksome.scheme module irksome.stage_derivative module irksome.stage_value module irksome.stepper module irksome.tools module irksome.ufl module irksome.ufl.deriv module irksome.ufl.estimate_degrees module irksome.ufl.manipulation module is_diagonally_implicit (irksome.nystrom_stepper.NystromTableau property) is_explicit (irksome.nystrom_stepper.NystromTableau property) is_fully_implicit (irksome.nystrom_stepper.NystromTableau property) is_implicit (irksome.nystrom_stepper.NystromTableau property) is_ode() (in module irksome.tools) iterate() (irksome.imex.RadauIIAIMEXMethod method) (irksome.RadauIIAIMEXMethod method)

L

label (irksome.labeling.TimeQuadratureLabel attribute) (irksome.TimeQuadratureLabel attribute)

ldu() (in module irksome.pc) LobattoIIIA (class in irksome) LobattoIIIC (class in irksome)

M

math_function() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) max_degree() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) MeshConstant (class in irksome.backends.firedrake) MeshConstant() (in module irksome) (in module irksome.constant) minmax() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) module irksome irksome.backend irksome.backends irksome.backends.dolfinx irksome.backends.firedrake irksome.base_time_stepper irksome.bcs irksome.constant irksome.dirk_stepper irksome.discontinuous_galerkin_stepper irksome.explicit_stepper irksome.galerkin_stepper irksome.imex irksome.integrated_lagrange irksome.labeling irksome.nystrom_dirk_stepper irksome.nystrom_stepper irksome.pc irksome.scheme irksome.stage_derivative irksome.stage_value irksome.stepper irksome.tools irksome.ufl irksome.ufl.deriv irksome.ufl.estimate_degrees irksome.ufl.manipulation

N

non_numeric() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) not_handled() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) num_stages (irksome.nystrom_stepper.NystromTableau property)

NystromAuxiliaryOperatorPC (class in irksome) (class in irksome.pc) NystromTableau (class in irksome.nystrom_stepper)

P

PareschiRusso (class in irksome) PEPRK (class in irksome) power() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) process() (irksome.ufl.deriv.TimeDerivativeRuleDispatcher method) (irksome.ufl.deriv.TimeDerivativeRuleset method) (irksome.ufl.estimate_degrees.TimeDegreeEstimator method)

propagate() (irksome.imex.RadauIIAIMEXMethod method) (irksome.RadauIIAIMEXMethod method)

Q

QinZhang (class in irksome)

R

RadauIIA (class in irksome) RadauIIAIMEXMethod (class in irksome) (class in irksome.imex) RanaBase (class in irksome) (class in irksome.pc) RanaDU (class in irksome) (class in irksome.pc)

RanaLD (class in irksome) (class in irksome.pc) reconstruct() (irksome.bcs.BoundsConstrainedDirichletBC method) (irksome.BoundsConstrainedDirichletBC method) remainder (irksome.ufl.manipulation.SplitTimeForm attribute) replace() (in module irksome.tools) reshape() (in module irksome.tools) riia_explicit_coeffs() (in module irksome.imex)

S

set_initial_guess() (irksome.ContinuousPetrovGalerkinTimeStepper method) (irksome.galerkin_stepper.ContinuousPetrovGalerkinTimeStepper method) (irksome.stage_value.StageValueTimeStepper method) (irksome.StageValueTimeStepper method) set_update_expressions() (irksome.ContinuousPetrovGalerkinTimeStepper method) (irksome.galerkin_stepper.ContinuousPetrovGalerkinTimeStepper method) solver_stats() (irksome.base_time_stepper.BaseTimeStepper method) (irksome.base_time_stepper.StageCoupledTimeStepper method) (irksome.dirk_stepper.DIRKTimeStepper method) (irksome.DIRKIMEXMethod method) (irksome.DIRKNystromTimeStepper method) (irksome.DIRKTimeStepper method) (irksome.imex.DIRKIMEXMethod method) (irksome.imex.RadauIIAIMEXMethod method) (irksome.nystrom_dirk_stepper.DIRKNystromTimeStepper method) (irksome.RadauIIAIMEXMethod method)

split_explicit() (in module irksome.labeling) split_quadrature() (in module irksome.labeling) SplitTimeForm (class in irksome.ufl.manipulation) SSPButcherTableau (class in irksome) SSPK_DIRK_IMEX (class in irksome) stage2spaces4bc() (in module irksome.bcs) StageCoupledTimeStepper (class in irksome.base_time_stepper) StageDerivativeNystromTimeStepper (class in irksome) (class in irksome.nystrom_stepper) StageDerivativeTimeStepper (class in irksome.stage_derivative) StageValueTimeStepper (class in irksome) (class in irksome.stage_value)

T

terminal() (irksome.ufl.deriv.TimeDerivativeRuleset method) (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) terminal_modifier() (irksome.ufl.deriv.TimeDerivativeRuleset method) (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) time (irksome.ufl.manipulation.SplitTimeForm attribute) time_derivative() (irksome.ufl.deriv.TimeDerivativeRuleDispatcher method) (irksome.ufl.deriv.TimeDerivativeRuleset method) (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) TimeDegreeEstimator (class in irksome.ufl.estimate_degrees)

TimeDerivative (class in irksome.ufl.deriv) TimeDerivativeRuleDispatcher (class in irksome.ufl.deriv) TimeDerivativeRuleset (class in irksome.ufl.deriv) TimeQuadratureLabel (class in irksome) (class in irksome.labeling) TimeQuadratureRule (class in irksome.labeling) TimeStepper() (in module irksome) (in module irksome.stepper) to_value() (in module irksome.stage_value)

U

ufl_free_indices (irksome.ufl.deriv.TimeDerivative property) ufl_index_dimensions (irksome.ufl.deriv.TimeDerivative property) ufl_shape (irksome.ufl.deriv.TimeDerivative property)

update_bc_constants() (irksome.dirk_stepper.DIRKTimeStepper method) (irksome.DIRKNystromTimeStepper method) (irksome.DIRKTimeStepper method) (irksome.nystrom_dirk_stepper.DIRKNystromTimeStepper method)

V

validator (irksome.labeling.TimeQuadratureLabel attribute) (irksome.TimeQuadratureLabel attribute)

value (irksome.labeling.TimeQuadratureLabel attribute) (irksome.TimeQuadratureLabel attribute)

W

WSODIRK (class in irksome)