Contents

Index

_ | A | B | C | D | E | G | I | L | M | N | O | P | R | S | T | W

_

__call__() (nodepy.ode_solver.ODESolver method)

A

A_alpha_stability() (nodepy.linear_multistep_method.LinearMultistepMethod method)
absolute_monotonicity_radius() (nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
accuracy_efficiency() (in module nodepy.runge_kutta_method)
Adams_Bashforth() (in module nodepy.linear_multistep_method)
Adams_Moulton() (in module nodepy.linear_multistep_method)
AdditiveLinearMultistepMethod (class in nodepy.linear_multistep_method)
arw2() (in module nodepy.linear_multistep_method)

B

backward_difference_formula() (in module nodepy.linear_multistep_method)

C

canonical_shu_osher_form() (nodepy.runge_kutta_method.RungeKuttaMethod method)
characteristic_polynomials() (nodepy.linear_multistep_method.LinearMultistepMethod method)
circle_contractivity_radius() (nodepy.runge_kutta_method.RungeKuttaMethod method)
compose() (in module nodepy.runge_kutta_method)
ContinuousExplicitRungeKuttaMethod (class in nodepy.runge_kutta_method)
ContinuousRungeKuttaMethod (class in nodepy.runge_kutta_method)
ctest() (nodepy.convergence method)

D

DC() (in module nodepy.runge_kutta_method)
DC_pair() (in module nodepy.runge_kutta_method)
dcweights() (in module nodepy.runge_kutta_method)
density() (nodepy.rooted_trees.RootedTree method)
detest() (nodepy.ivp method)
discrete_adjoint() (in module nodepy.runge_kutta_method)
dj_reduce() (nodepy.runge_kutta_method.RungeKuttaMethod method)
Dmap() (in module nodepy.rooted_trees)
(nodepy.rooted_trees.RootedTree method)
Dmap_str() (in module nodepy.rooted_trees)
Dprod() (in module nodepy.rooted_trees)
Dprod_str() (in module nodepy.rooted_trees)

E

effective_order() (nodepy.runge_kutta_method.RungeKuttaMethod method)
effective_order_condition_residuals() (nodepy.runge_kutta_method.RungeKuttaMethod method)
elementary_weight() (in module nodepy.runge_kutta_method)
elementary_weight_str() (in module nodepy.runge_kutta_method)
elm_ssp2() (in module nodepy.linear_multistep_method)
Emap() (in module nodepy.rooted_trees)
Emap_str() (in module nodepy.rooted_trees)
embedded_method (nodepy.runge_kutta_method.ExplicitRungeKuttaPair attribute)
error_coefficient() (nodepy.runge_kutta_method.RungeKuttaMethod method)
error_coeffs() (nodepy.runge_kutta_method.RungeKuttaMethod method)
error_metrics() (nodepy.runge_kutta_method.ExplicitRungeKuttaPair method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
ExplicitRungeKuttaMethod (class in nodepy.runge_kutta_method)
ExplicitRungeKuttaPair (class in nodepy.runge_kutta_method)
extrap() (in module nodepy.runge_kutta_method)
extrap_pair() (in module nodepy.runge_kutta_method)

G

Gprod() (in module nodepy.rooted_trees)
(nodepy.rooted_trees.RootedTree method)
Gprod_str() (in module nodepy.rooted_trees)
(nodepy.rooted_trees.RootedTree method)

I

imaginary_stability_interval() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
internal_stability_plot() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
internal_stability_polynomials() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
is_absolutely_monotonic_poly() (in module nodepy.runge_kutta_method)
is_explicit() (nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
is_FSAL() (nodepy.runge_kutta_method.ExplicitRungeKuttaPair method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
is_splittable() (nodepy.runge_kutta_method.RungeKuttaMethod method)
is_zero_stable() (nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)

L

lamda() (nodepy.rooted_trees.RootedTree method)
lamda_str() (nodepy.rooted_trees.RootedTree method)
latex() (nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
linear_absolute_monotonicity_radius() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
linear_monotonicity_radius() (nodepy.runge_kutta_method.RungeKuttaMethod method)
linearly_stable_step_size() (in module nodepy.runge_kutta_method)
LinearMultistepMethod (class in nodepy.linear_multistep_method)
list_equivalent_trees() (nodepy.rooted_trees.RootedTree method)
list_trees() (in module nodepy.rooted_trees)
load_2R() (in module nodepy.low_storage_rk)
load_LSRK() (in module nodepy.low_storage_rk)
load_LSRK_RKOPT() (in module nodepy.low_storage_rk)
loadLMM() (in module nodepy.linear_multistep_method)
loadRKM() (in module nodepy.runge_kutta_method)
lp_perturb() (nodepy.runge_kutta_method.RungeKuttaMethod method)

M

main_method (nodepy.runge_kutta_method.ExplicitRungeKuttaPair attribute)
maximum_internal_amplification() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
Milne_Simpson() (in module nodepy.linear_multistep_method)

N

nodepy.linear_multistep_method (module)
nodepy.low_storage_rk (module)
nodepy.rooted_trees (module)
nodepy.runge_kutta_method (module)
num_seq_dep_stages() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
Nystrom() (in module nodepy.linear_multistep_method)

O

optimal_perturbed_splitting() (nodepy.runge_kutta_method.RungeKuttaMethod method)
optimal_shu_osher_form() (nodepy.runge_kutta_method.RungeKuttaMethod method)
order() (nodepy.linear_multistep_method.AdditiveLinearMultistepMethod method)
(nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.rooted_trees.RootedTree method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
order_condition_residuals() (nodepy.runge_kutta_method.RungeKuttaMethod method)

P

p (nodepy.linear_multistep_method.LinearMultistepMethod attribute)
(nodepy.runge_kutta_method.RungeKuttaMethod attribute)
plot() (nodepy.rooted_trees.RootedTree method)
plot_all_trees() (in module nodepy.rooted_trees)
plot_boundary_locus() (nodepy.linear_multistep_method.LinearMultistepMethod method)
plot_imex_stability_region() (nodepy.linear_multistep_method.AdditiveLinearMultistepMethod method)
plot_order_star() (nodepy.runge_kutta_method.RungeKuttaMethod method)
plot_stability_function() (nodepy.runge_kutta_method.RungeKuttaMethod method)
plot_stability_region() (nodepy.linear_multistep_method.LinearMultistepMethod method)
(nodepy.runge_kutta_method.ExplicitRungeKuttaPair method)
(nodepy.runge_kutta_method.RungeKuttaMethod method)
principal_error_norm() (nodepy.runge_kutta_method.RungeKuttaMethod method)
print_shu_osher() (nodepy.runge_kutta_method.RungeKuttaMethod method)
propagation_matrix() (nodepy.runge_kutta_method.RungeKuttaMethod method)
ptest() (nodepy.convergence method)
py2tex() (in module nodepy.rooted_trees)
python_to_fortran() (in module nodepy.runge_kutta_method)
python_to_matlab() (in module nodepy.runge_kutta_method)

R

real_stability_interval() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)
recursiveVectors() (in module nodepy.rooted_trees)
redistribute_gamma() (in module nodepy.runge_kutta_method)
relative_accuracy_efficiency() (in module nodepy.runge_kutta_method)
resplit() (nodepy.runge_kutta_method.RungeKuttaMethod method)
RK22_family() (in module nodepy.runge_kutta_method)
RK44_family() (in module nodepy.runge_kutta_method)
RKC1() (in module nodepy.runge_kutta_method)
RKC2() (in module nodepy.runge_kutta_method)
RKeta() (in module nodepy.runge_kutta_method)
RKeta_str() (in module nodepy.runge_kutta_method)
RKOCstr2code() (in module nodepy.runge_kutta_method)
RootedTree (class in nodepy.rooted_trees)
runge_kutta_order_conditions() (in module nodepy.runge_kutta_method)
RungeKuttaMethod (class in nodepy.runge_kutta_method)

S

sand_cc() (in module nodepy.linear_multistep_method)
shu_osher_change_alpha_ij() (in module nodepy.runge_kutta_method)
shu_osher_to_butcher() (in module nodepy.runge_kutta_method)
shu_osher_zero_alpha_ij() (in module nodepy.runge_kutta_method)
shu_osher_zero_beta_ij() (in module nodepy.runge_kutta_method)
sign_split() (in module nodepy.runge_kutta_method)
ssp_coefficient() (nodepy.linear_multistep_method.LinearMultistepMethod method)
SSPIRK1() (in module nodepy.runge_kutta_method)
SSPIRK2() (in module nodepy.runge_kutta_method)
SSPIRK3() (in module nodepy.runge_kutta_method)
ssplit() (nodepy.runge_kutta_method.RungeKuttaMethod method)
SSPRK2() (in module nodepy.runge_kutta_method)
SSPRK3() (in module nodepy.runge_kutta_method)
SSPRKm() (in module nodepy.runge_kutta_method)
stability_function() (nodepy.runge_kutta_method.RungeKuttaMethod method)
stability_function_unexpanded() (nodepy.runge_kutta_method.RungeKuttaMethod method)
stage_order() (nodepy.runge_kutta_method.RungeKuttaMethod method)
stiff_damping_factor() (nodepy.linear_multistep_method.AdditiveLinearMultistepMethod method)
symmetry() (nodepy.rooted_trees.RootedTree method)

T

TwoRRungeKuttaMethod (class in nodepy.low_storage_rk)
TwoSRungeKuttaMethod (class in nodepy.low_storage_rk)
TwoSRungeKuttaPair (class in nodepy.low_storage_rk)
TwoStepRungeKuttaMethod (class in nodepy.twostep_runge_kutta_method)

W

work_per_step() (nodepy.runge_kutta_method.ExplicitRungeKuttaMethod method)

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