Index

A

AdamsBashforth (class in irksome) AdamsMoulton (class in irksome) 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.multistep.MultistepTimeStepper method) (irksome.MultistepTimeStepper 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) assemble() (in module irksome.backends.dolfinx) (irksome.backend.Backend method) assign() (irksome.backends.dolfinx.Constant method) (irksome.backends.dolfinx.FloatConstantFunction method)

B

Backend (class in irksome.backend) Backend.Constant (class in irksome.backend) Backend.DirichletBC (class in irksome.backend) Backend.EquationBC (class in irksome.backend) Backend.EquationBCSplit (class in irksome.backend) Backend.Function (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.backends.dolfinx) (in module irksome.backends.firedrake) BCStageData() (in module irksome.bcs) BDF (class in irksome) BoundsConstrainedDirichletBC (class in irksome.backends.firedrake) BoundsConstrainedDirichletBC() (in module irksome) (in module irksome.bcs) build_poly() (irksome.base_time_stepper.StageCoupledTimeStepper method) butcher_to_nystrom() (in module irksome.nystrom_stepper)

C

check_integrals() (in module irksome.ufl.manipulation) check_irksome_import_order() (in module irksome.ufl.deriv) 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) collocation_quadrature_degree() (in module irksome.scheme) conditional() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) Constant (class in irksome.backends.dolfinx) Constant() (irksome.backend.Backend.MeshConstant method) (irksome.backends.dolfinx.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_bounds_constrained_bc() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) create_time_quadrature() (in module irksome) (in module irksome.scheme) create_variational_problem() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) create_variational_solver() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method)

D

default_value (irksome.labeling.TimeQuadratureLabel attribute) (irksome.TimeQuadratureLabel attribute) derivative() (irksome.backend.Backend method) DirichletBC (class in irksome.backends.dolfinx) dirichletbc() (in module irksome.backends.dolfinx) 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) DiscontinuousGalerkinCollocationScheme (class in irksome) (class in irksome.scheme) 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) EquationBC (class in irksome.backends.dolfinx) EquationBCSplit (class in irksome.backends.dolfinx) 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.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) extract_dtype() (in module irksome.backends.dolfinx) extract_function() (in module irksome.backends.dolfinx) extract_linear_combination() (in module irksome.backends.dolfinx) extract_scalar_value() (in module irksome.backends.dolfinx) extract_term() (in module irksome.backends.dolfinx) extract_timedep_arguments() (in module irksome.tools)

F

fields_to_components() (in module irksome.tools) flatten_dats() (in module irksome.tools) FloatConstantFunction (class in irksome.backends.dolfinx) 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() (in module irksome.backends.dolfinx) function_arg (irksome.backends.firedrake.BoundsConstrainedDirichletBC property) function_iadd() (in module irksome.backends.dolfinx) function_iadd_method() (in module irksome.backends.dolfinx) function_space() (irksome.backends.dolfinx.ListTensor method) function_space_length() (in module irksome.backends.dolfinx) function_subfunctions() (in module irksome.backends.dolfinx)

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.DIRKNystromTimeStepper method) (irksome.DIRKTimeStepper method) (irksome.discontinuous_galerkin_stepper.DiscontinuousGalerkinTimeStepper method) (irksome.DiscontinuousGalerkinTimeStepper method) (irksome.galerkin_stepper.ContinuousPetrovGalerkinTimeStepper method) (irksome.imex.RadauIIAIMEXMethod method) (irksome.multistep.MultistepTimeStepper method) (irksome.MultistepTimeStepper method) (irksome.nystrom_dirk_stepper.DIRKNystromTimeStepper 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.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) get_lagrange_permutation() (in module irksome.tools) get_mesh_constant() (in module irksome.backends.dolfinx) (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.backends.dolfinx) (in module irksome.backends.firedrake) (in module irksome.tools) get_stage_spaces() (irksome.backend.Backend method) get_stages() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) (irksome.base_time_stepper.StageCoupledTimeStepper method)

get_sub() (in module irksome.tools) 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.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend method) getTermDiscGalerkin() (in module irksome.discontinuous_galerkin_stepper) getTermGalerkin() (in module irksome.galerkin_stepper) getTrialElement() (in module irksome.galerkin_stepper)

H

has_nonlinear_time_derivative() (in module irksome.ufl.manipulation)

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) invalidate_jacobian() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) (irksome.backend.Backend 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) 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.multistep 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.lag module irksome.ufl.manipulation module IrksomeImportOrderException is_diagonally_implicit (irksome.nystrom_stepper.NystromTableau property) is_explicit (irksome.MultistepTableau property) (irksome.nystrom_stepper.NystromTableau property) is_fully_implicit (irksome.nystrom_stepper.NystromTableau property) is_implicit (irksome.MultistepTableau property) (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) lag() (in module irksome) (in module irksome.ufl.lag)

ldu() (in module irksome.pc) LinearProblem (class in irksome.backends.dolfinx) ListTensor (class in irksome.backends.dolfinx) 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.dolfinx) (class in irksome.backends.firedrake) MeshConstant() (in module irksome) (in module irksome.constant) minmax() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) mixed_space_length() (in module irksome.backends.dolfinx) 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.multistep 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.lag irksome.ufl.manipulation

MultistepTableau (class in irksome) MultistepTimeStepper (class in irksome) (class in irksome.multistep)

N

non_numeric() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method) NonlinearProblem (class in irksome.backends.dolfinx) norm() (in module irksome.backends.dolfinx) (irksome.backend.Backend method) not_handled() (irksome.ufl.estimate_degrees.TimeDegreeEstimator method)

num_prev_steps (irksome.MultistepTableau property) num_stages (irksome.nystrom_stepper.NystromTableau property) num_total_steps (irksome.MultistepTableau property) NystromAuxiliaryOperatorPC (class in irksome) (class in irksome.pc) NystromTableau (class in irksome.nystrom_stepper)

P

pack() (irksome.backends.dolfinx.DirichletBC method) 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.backends.dolfinx.DirichletBC method) (irksome.backends.firedrake.BoundsConstrainedDirichletBC method) remainder (irksome.ufl.manipulation.SplitTimeForm attribute) remove_time_derivatives() (in module irksome.ufl.manipulation) 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) snes (irksome.backends.dolfinx.NonlinearProblem property) solve() (irksome.backends.dolfinx.LinearProblem method) (irksome.backends.dolfinx.NonlinearProblem 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.multistep.MultistepTimeStepper method) (irksome.MultistepTimeStepper method) (irksome.nystrom_dirk_stepper.DIRKNystromTimeStepper method) (irksome.RadauIIAIMEXMethod method)

split_explicit() (in module irksome.labeling) split_quadrature() (in module irksome.labeling) split_stages() (in module irksome.tools) split_time_derivative_terms() (in module irksome.ufl.manipulation) SplitTimeForm (class in irksome.ufl.manipulation) SSPButcherTableau (class in irksome) SSPK_DIRK_IMEX (class in irksome) stage2spaces4bc() (in module irksome.backends.dolfinx) (in module irksome.backends.firedrake) 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) startup() (irksome.multistep.MultistepTimeStepper method) (irksome.MultistepTimeStepper method) subfunctions (irksome.backends.dolfinx.ListTensor property)

T

tabulate_poly() (irksome.base_time_stepper.StageCoupledTimeStepper method) (irksome.ContinuousPetrovGalerkinTimeStepper method) (irksome.discontinuous_galerkin_stepper.DiscontinuousGalerkinTimeStepper method) (irksome.DiscontinuousGalerkinTimeStepper method) (irksome.galerkin_stepper.ContinuousPetrovGalerkinTimeStepper method) (irksome.nystrom_stepper.StageDerivativeNystromTimeStepper method) (irksome.stage_derivative.StageDerivativeTimeStepper method) (irksome.stage_value.StageValueTimeStepper method) (irksome.StageDerivativeNystromTimeStepper method) (irksome.StageValueTimeStepper method) 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) TestFunction() (in module irksome.backends.dolfinx) (irksome.backend.Backend 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) TrialFunction() (in module irksome.backends.dolfinx) (irksome.backend.Backend method)

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)