Index

_

__add__() (CommutativeForest method) (ForestSum method) (Map method) (TensorProductSum method) (Tree method) __and__() (Map method) __call__() (BSeries method) __eq__() (CommutativeForest method) (ForestSum method) (TensorProductSum method) (Tree method) __matmul__() (CommutativeForest method) (ForestSum method) (Tree method)

__mul__() (CommutativeForest method) (ForestSum method) (Map method) (RK method) (TensorProductSum method) (Tree method) __next__() (Tree method) __pow__() (CommutativeForest method) (ForestSum method) (Map method) (RK method) (Tree method)

A

adjoint() (RK method) alpha() (Tree method) antipode (in module kauri.bck) (in module kauri.cem) (in module kauri.gl) (in module kauri.mkw) (in module kauri.nck) (in module kauri.pgl)

antisymmetric_order() (RK method) as_forest() (Tree method) as_forest_sum() (CommutativeForest method) (Tree method)

B

backward_euler (in module kauri.rk_methods)

beta() (Tree method) BSeries (class in kauri.bseries)

C

canonical_to_recursive_permutation() (in module kauri.gentrees) CFMethod (class in kauri.cf) cfree_rk3 (in module kauri.cf_methods) cfree_rk4 (in module kauri.cf_methods) color_sequence() (Tree method) colored_ordered_forest_to_idx() (in module kauri.gentrees) colored_ordered_forests() (in module kauri.gentrees) colored_ordered_forests_of_order() (in module kauri.gentrees) colored_ordered_forests_up_to_order() (in module kauri.gentrees) colored_planar_tree_to_idx() (in module kauri.gentrees) colored_planar_trees_of_order() (in module kauri.gentrees) colored_planar_trees_up_to_order() (in module kauri.gentrees) colored_tree_to_idx() (in module kauri.gentrees) colored_trees() (in module kauri.gentrees) colored_trees_of_order() (in module kauri.gentrees) colored_trees_up_to_order() (in module kauri.gentrees) colors() (CommutativeForest method) (ForestSum method) (TensorProductSum method) (Tree method)

CommutativeForest (class in kauri.trees) coproduct() (in module kauri.bck) (in module kauri.cem) (in module kauri.gl) (in module kauri.mkw) (in module kauri.nck) (in module kauri.pgl) counit (in module kauri.bck) (in module kauri.cem) (in module kauri.gl) (in module kauri.mkw) (in module kauri.nck) (in module kauri.pgl) crank_nicolson (in module kauri.rk_methods)

D

delta_w_terms() (in module kauri.lb_substitution)

density() (Tree method) display() (in module kauri.display)

E

EES25() (in module kauri.rk_methods) EES27() (in module kauri.rk_methods) elementary_differential() (in module kauri.bseries) elementary_weights_map() (RK method) equals() (CommutativeForest method) (Tree method)

euler (in module kauri.rk_methods) exact_weights (in module kauri.maps) exp() (Map method) exponential_rk() (CFMethod method)

F

factorial() (CommutativeForest method) (ForestSum method) (Tree method)

ForestSum (class in kauri.trees) frozen_exponential_character() (in module kauri.lb_substitution)

G

gauss6 (in module kauri.rk_methods)

H

height() (Tree method)

heun_rk2 (in module kauri.rk_methods) heun_rk3 (in module kauri.rk_methods)

I

id_sqrt (in module kauri.oddeven) (in module kauri.planar_oddeven) ident (in module kauri.maps)

idx_to_colored_ordered_forest() (in module kauri.gentrees) idx_to_colored_planar_tree() (in module kauri.gentrees) idx_to_colored_tree() (in module kauri.gentrees) implicit_midpoint (in module kauri.rk_methods)

J

join() (CommutativeForest method)

K

kauri.bck module kauri.bseries module kauri.cem module kauri.cf module kauri.cf_methods module kauri.display module kauri.gentrees module kauri.gl module kauri.lb_substitution module

kauri.maps module kauri.mkw module kauri.nck module kauri.oddeven module kauri.pgl module kauri.planar_oddeven module kauri.rk module kauri.rk_methods module kauri.trees module kutta_rk3 (in module kauri.rk_methods)

L

lb_character() (CFMethod method) (ReusedStageCFMethod method) level_sequence() (Tree method)

lie_euler (in module kauri.cf_methods) lie_midpoint (in module kauri.cf_methods) lobatto6 (in module kauri.rk_methods) log() (Map method)

M

Map (class in kauri.maps) map_power() (in module kauri.bck) (in module kauri.cem) (in module kauri.gl) (in module kauri.mkw) (in module kauri.nck) (in module kauri.pgl) map_product() (in module kauri.bck) (in module kauri.cem) (in module kauri.gl) (in module kauri.mkw) (in module kauri.nck) (in module kauri.pgl) midpoint (in module kauri.rk_methods) minus (in module kauri.oddeven) (in module kauri.planar_oddeven) mkw_composition_symmetry_defect_map() (ReusedStageCFMethod method) modified_equation() (Map method) modified_equation_map() (RK method)

module kauri.bck kauri.bseries kauri.cem kauri.cf kauri.cf_methods kauri.display kauri.gentrees kauri.gl kauri.lb_substitution kauri.maps kauri.mkw kauri.nck kauri.oddeven kauri.pgl kauri.planar_oddeven kauri.rk kauri.rk_methods kauri.trees

N

nodes() (CommutativeForest method) (ForestSum method) (Tree method)

num_forests() (ForestSum method) num_trees() (CommutativeForest method) (ForestSum method) nystrom_rk5 (in module kauri.rk_methods)

O

omega (in module kauri.maps) order() (RK method)

ordered_forests_of_order() (in module kauri.gentrees) ordered_forests_up_to_order() (in module kauri.gentrees)

P

planar_antisymmetric_order() (CFMethod method) (RK method) planar_canonical_to_recursive_permutation() (in module kauri.gentrees) planar_order() (CFMethod method) (RK method) planar_recursive_to_canonical_permutation() (in module kauri.gentrees) planar_trees_of_order() (in module kauri.gentrees)

planar_trees_up_to_order() (in module kauri.gentrees) plus (in module kauri.oddeven) (in module kauri.planar_oddeven) preprocessed_integrator() (Map method) product() (in module kauri.gl) (in module kauri.pgl) projected_rk() (CFMethod method) (ReusedStageCFMethod method)

R

radau_iia (in module kauri.rk_methods) ralston_rk3 (in module kauri.rk_methods) ralston_rk4 (in module kauri.rk_methods) recursive_to_canonical_permutation() (in module kauri.gentrees) ReusedStageCFMethod (class in kauri.cf)

reverse() (RK method) RK (class in kauri.rk) rk4 (in module kauri.rk_methods) rk_order_cond() (in module kauri.rk) rk_symbolic_weight() (in module kauri.rk) run() (RK method)

S

series() (BSeries method) shuffle_product() (in module kauri.mkw) sigma() (Tree method) sign (in module kauri.maps) sign() (CommutativeForest method) (ForestSum method) (Tree method) simplify() (CommutativeForest method) (ForestSum method) (TensorProductSum method)

singleton_reduced() (CommutativeForest method) (ForestSum method) (TensorProductSum method) sorted() (Tree method) sorted_list_repr() (Tree method) step() (RK method) substitute() (in module kauri.lb_substitution) symbolic_lb_character() (CFMethod method) (ReusedStageCFMethod method) symmetry_defect_map() (CFMethod method) (ReusedStageCFMethod method)

T

TensorProductSum (class in kauri.trees) Tree (class in kauri.trees)

trees_of_order() (in module kauri.gentrees) trees_up_to_order() (in module kauri.gentrees)

U

unjoin() (Tree method)

unlabelled() (Tree method)