Derived Types

TypeLocationExtendsDescription
dverk65_class rklib_module rk_variable_step_class

Verner 6(5) "DVERK"
dverk78_class rklib_module rk_variable_step_class

Verner "Maple" 7(8)
euler_class rklib_module rk_fixed_step_class

Euler
heun_class rklib_module rk_fixed_step_class

Heun
midpoint_class rklib_module rk_fixed_step_class

Midpoint
rk3_class rklib_module rk_fixed_step_class

3th order Runge-Kutta
rk4_class rklib_module rk_fixed_step_class

Classic 4th order Runge-Kutta
rk5_class rklib_module rk_fixed_step_class

5th order Runge-Kutta
rk7_class rklib_module rk_fixed_step_class

7th order Runge-Kutta Shanks
rk8_10_class rklib_module rk_fixed_step_class

10-stage, 8th order Runge-Kutta Shanks
rk8_12_class rklib_module rk_fixed_step_class

12-stage, 8th order Runge-Kutta Shanks
rk_class rklib_module None

main integration class
rk_fixed_step_class rklib_module rk_class

fixed step size class
rk_variable_step_class rklib_module rk_class

Main integration class for variable step size Runge-Kutta methods
rk_variable_step_fsal_class rklib_module rk_variable_step_class

a variable step method with the "first same as last" (FSAL) property: the last function evaluation of a step (at the final t and x) is the first one of the next step. It is reused by means of the function evaluation cache (see set_fsal_cache and check_fsal_cache).
rkb109_class rklib_module rk_variable_step_class

Baker 10(9)
rkb6_class rklib_module rk_fixed_step_class

6th order Runge-Kutta Butcher
rkbs32_class rklib_module rk_variable_step_fsal_class

Bogacki & Shampine 3(2)
rkbs54_class rklib_module rk_variable_step_class

Bogacki & Shampine 5(4)
rkc108_class rklib_module rk_variable_step_class

Curtis 10(8)
rkc5_class rklib_module rk_fixed_step_class

5th order Runge-Kutta Cassity
rkc65_class rklib_module rk_variable_step_class

Calvo 6(5)
rkck54_class rklib_module rk_variable_step_class

Cash & Karp 5(4)
rkcv8_class rklib_module rk_fixed_step_class

11-stage, 8th order Runge-Kutta Cooper-Verner
rkdp54_class rklib_module rk_variable_step_fsal_class

Dormand-Prince 5(4)
rkdp65_class rklib_module rk_variable_step_class

Dormand-Prince 6(5)
rkdp85_class rklib_module rk_variable_step_class

Dormand-Prince 8(5)
rkdp87_class rklib_module rk_variable_step_class

Dormand & Prince RK8(7)13M
rkev87_class rklib_module rk_variable_step_class

Enright-Verner (8)7
rkf108_class rklib_module rk_variable_step_class

Feagin 8(10)
rkf1210_class rklib_module rk_variable_step_class

Feagin 12(10)
rkf1412_class rklib_module rk_variable_step_class

Feagin 14(12)
rkf45_class rklib_module rk_variable_step_class

Fehlberg 4(5)
rkf78_class rklib_module rk_variable_step_class

Fehlberg 7(8)
rkf89_class rklib_module rk_variable_step_class

Fehlberg 8(9)
rkh10_class rklib_module rk_fixed_step_class

10th order Runge-Kutta Hairer
rkk87_class rklib_module rk_variable_step_class

Kovalnogov-Fedorov-Karpukhina-Simos-Tsitouras 8(7)
rkl5_class rklib_module rk_fixed_step_class

5th order Runge-Kutta Lawson
rklib_properties rklib_module None

Properties of an RK method.
rklk5a_class rklib_module rk_fixed_step_class

5th order Runge-Kutta Luther-Konen 1
rklk5b_class rklib_module rk_fixed_step_class

5th order Runge-Kutta Luther-Konen 2
rkls44_class rklib_module rk_fixed_step_class

4-stage, 4th order low storage non-TVD Runge-Kutta Jiang-Shu
rkls54_class rklib_module rk_fixed_step_class

5-stage, 4th order low storage Runge-Kutta Carpenter-Kennedy
rko10_class rklib_module rk_fixed_step_class

10th order Runge-Kutta Ono
rko129_class rklib_module rk_variable_step_class

Ono 12(9)
rkpp54_class rklib_module rk_variable_step_fsal_class

Papakostas-PapaGeorgiou 5(4)
rkpp54b_class rklib_module rk_variable_step_fsal_class

Papakostas-PapaGeorgiou 5(4) b
rkr4_class rklib_module rk_fixed_step_class

4th order Runge-Kutta Ralston
rks10_class rklib_module rk_fixed_step_class

10th order Runge-Kutta Stepanov
rks1110a_class rklib_module rk_variable_step_class

Stone 11(10)
rks4_class rklib_module rk_fixed_step_class

4th order Runge-Kutta Shanks
rks54_class rklib_module rk_variable_step_fsal_class

Stepanov 5(4)
rks5_class rklib_module rk_fixed_step_class

5th order Runge-Kutta Shanks
rks98_class rklib_module rk_variable_step_class

Sharp 9(8)
rkss54_class rklib_module rk_variable_step_class

Sharp & Smart 5(4)
rkss76_class rklib_module rk_variable_step_class

Sharp & Smart 7(6)
rkssp22_class rklib_module rk_fixed_step_class

2-stage, 2nd order TVD Runge-Kutta Shu-Osher
rkssp33_class rklib_module rk_fixed_step_class

3-stage, 3rd order TVD Runge-Kutta Shu-Osher
rkssp43_class rklib_module rk_variable_step_class

4-stage, 3rd order SSP
rkssp53_class rklib_module rk_fixed_step_class

5-stage, 3rd order SSP Runge-Kutta Spiteri-Ruuth
rkssp54_class rklib_module rk_fixed_step_class

5-stage, 4th order SSP Runge-Kutta Spiteri-Ruuth
rkt54_class rklib_module rk_variable_step_fsal_class

Tsitouras 5(4)
rkt98a_class rklib_module rk_variable_step_class

Tsitouras 9(8) A
rktf65_class rklib_module rk_variable_step_fsal_class

Tsitouras & Famelis 6(5)
rktmy7_class rklib_module rk_variable_step_class

7th order Tanaka-Muramatsu-Yamashita
rktmy7s_class rklib_module rk_variable_step_class

7th order Stable Tanaka-Muramatsu-Yamashita
rktp64_class rklib_module rk_variable_step_class

Tsitouras & Papakostas NEW6(4)
rktp75_class rklib_module rk_variable_step_class

Tsitouras & Papakostas NEW7(5)
rktp86_class rklib_module rk_variable_step_class

Tsitouras & Papakostas NEW8(6)
rkv65_class rklib_module rk_variable_step_class

Verner 6(5)
rkv65e_class rklib_module rk_variable_step_fsal_class

Verner efficient (9,6(5))
rkv65r_class rklib_module rk_variable_step_fsal_class

Verner robust (9,6(5))
rkv76e_class rklib_module rk_variable_step_class

Verner efficient (10:7(6))
rkv76r_class rklib_module rk_variable_step_class

Verner robust (10:7(6))
rkv78_class rklib_module rk_variable_step_class

Verner 7(8)
rkv87e_class rklib_module rk_variable_step_class

Verner efficient (8)7
rkv87r_class rklib_module rk_variable_step_class

Verner robust (8)7
rkv89_class rklib_module rk_variable_step_class

Verner 8(9)
rkv98e_class rklib_module rk_variable_step_class

Verner efficient (16:9(8))
rkv98r_class rklib_module rk_variable_step_class

Verner robust (16:9(8))
rkz10_class rklib_module rk_fixed_step_class

10th order Runge-Kutta Zhang
stepsize_class rklib_module None

Algorithms for adjusting the step size for variable-step Runge-Kutta integrators.

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type~~graph~~TypeGraph type~dverk65_class dverk65_class type~rk_variable_step_class rk_variable_step_class type~dverk65_class->type~rk_variable_step_class type~dverk78_class dverk78_class type~dverk78_class->type~rk_variable_step_class type~euler_class euler_class type~rk_fixed_step_class rk_fixed_step_class type~euler_class->type~rk_fixed_step_class type~heun_class heun_class type~heun_class->type~rk_fixed_step_class type~midpoint_class midpoint_class type~midpoint_class->type~rk_fixed_step_class type~rk3_class rk3_class type~rk3_class->type~rk_fixed_step_class type~rk4_class rk4_class type~rk4_class->type~rk_fixed_step_class type~rk5_class rk5_class type~rk5_class->type~rk_fixed_step_class type~rk7_class rk7_class type~rk7_class->type~rk_fixed_step_class type~rk8_10_class rk8_10_class type~rk8_10_class->type~rk_fixed_step_class type~rk8_12_class rk8_12_class type~rk8_12_class->type~rk_fixed_step_class type~rk_class rk_class root_method root_method type~rk_class->root_method solver type~rk_fixed_step_class->type~rk_class type~rk_variable_step_class->type~rk_class type~stepsize_class stepsize_class type~rk_variable_step_class->type~stepsize_class stepsize_method type~rk_variable_step_fsal_class rk_variable_step_fsal_class type~rk_variable_step_fsal_class->type~rk_variable_step_class type~rkb109_class rkb109_class type~rkb109_class->type~rk_variable_step_class type~rkb6_class rkb6_class type~rkb6_class->type~rk_fixed_step_class type~rkbs32_class rkbs32_class type~rkbs32_class->type~rk_variable_step_fsal_class type~rkbs54_class rkbs54_class type~rkbs54_class->type~rk_variable_step_class type~rkc108_class rkc108_class type~rkc108_class->type~rk_variable_step_class type~rkc5_class rkc5_class type~rkc5_class->type~rk_fixed_step_class type~rkc65_class rkc65_class type~rkc65_class->type~rk_variable_step_class type~rkck54_class rkck54_class type~rkck54_class->type~rk_variable_step_class type~rkcv8_class rkcv8_class type~rkcv8_class->type~rk_fixed_step_class type~rkdp54_class rkdp54_class type~rkdp54_class->type~rk_variable_step_fsal_class type~rkdp65_class rkdp65_class type~rkdp65_class->type~rk_variable_step_class type~rkdp85_class rkdp85_class type~rkdp85_class->type~rk_variable_step_class type~rkdp87_class rkdp87_class type~rkdp87_class->type~rk_variable_step_class type~rkev87_class rkev87_class type~rkev87_class->type~rk_variable_step_class type~rkf108_class rkf108_class type~rkf108_class->type~rk_variable_step_class type~rkf1210_class rkf1210_class type~rkf1210_class->type~rk_variable_step_class type~rkf1412_class rkf1412_class type~rkf1412_class->type~rk_variable_step_class type~rkf45_class rkf45_class type~rkf45_class->type~rk_variable_step_class type~rkf78_class rkf78_class type~rkf78_class->type~rk_variable_step_class type~rkf89_class rkf89_class type~rkf89_class->type~rk_variable_step_class type~rkh10_class rkh10_class type~rkh10_class->type~rk_fixed_step_class type~rkk87_class rkk87_class type~rkk87_class->type~rk_variable_step_class type~rkl5_class rkl5_class type~rkl5_class->type~rk_fixed_step_class type~rklib_properties rklib_properties type~rklk5a_class rklk5a_class type~rklk5a_class->type~rk_fixed_step_class type~rklk5b_class rklk5b_class type~rklk5b_class->type~rk_fixed_step_class type~rkls44_class rkls44_class type~rkls44_class->type~rk_fixed_step_class type~rkls54_class rkls54_class type~rkls54_class->type~rk_fixed_step_class type~rko10_class rko10_class type~rko10_class->type~rk_fixed_step_class type~rko129_class rko129_class type~rko129_class->type~rk_variable_step_class type~rkpp54_class rkpp54_class type~rkpp54_class->type~rk_variable_step_fsal_class type~rkpp54b_class rkpp54b_class type~rkpp54b_class->type~rk_variable_step_fsal_class type~rkr4_class rkr4_class type~rkr4_class->type~rk_fixed_step_class type~rks10_class rks10_class type~rks10_class->type~rk_fixed_step_class type~rks1110a_class rks1110a_class type~rks1110a_class->type~rk_variable_step_class type~rks4_class rks4_class type~rks4_class->type~rk_fixed_step_class type~rks54_class rks54_class type~rks54_class->type~rk_variable_step_fsal_class type~rks5_class rks5_class type~rks5_class->type~rk_fixed_step_class type~rks98_class rks98_class type~rks98_class->type~rk_variable_step_class type~rkss54_class rkss54_class type~rkss54_class->type~rk_variable_step_class type~rkss76_class rkss76_class type~rkss76_class->type~rk_variable_step_class type~rkssp22_class rkssp22_class type~rkssp22_class->type~rk_fixed_step_class type~rkssp33_class rkssp33_class type~rkssp33_class->type~rk_fixed_step_class type~rkssp43_class rkssp43_class type~rkssp43_class->type~rk_variable_step_class type~rkssp53_class rkssp53_class type~rkssp53_class->type~rk_fixed_step_class type~rkssp54_class rkssp54_class type~rkssp54_class->type~rk_fixed_step_class type~rkt54_class rkt54_class type~rkt54_class->type~rk_variable_step_fsal_class type~rkt98a_class rkt98a_class type~rkt98a_class->type~rk_variable_step_class type~rktf65_class rktf65_class type~rktf65_class->type~rk_variable_step_fsal_class type~rktmy7_class rktmy7_class type~rktmy7_class->type~rk_variable_step_class type~rktmy7s_class rktmy7s_class type~rktmy7s_class->type~rk_variable_step_class type~rktp64_class rktp64_class type~rktp64_class->type~rk_variable_step_class type~rktp75_class rktp75_class type~rktp75_class->type~rk_variable_step_class type~rktp86_class rktp86_class type~rktp86_class->type~rk_variable_step_class type~rkv65_class rkv65_class type~rkv65_class->type~rk_variable_step_class type~rkv65e_class rkv65e_class type~rkv65e_class->type~rk_variable_step_fsal_class type~rkv65r_class rkv65r_class type~rkv65r_class->type~rk_variable_step_fsal_class type~rkv76e_class rkv76e_class type~rkv76e_class->type~rk_variable_step_class type~rkv76r_class rkv76r_class type~rkv76r_class->type~rk_variable_step_class type~rkv78_class rkv78_class type~rkv78_class->type~rk_variable_step_class type~rkv87e_class rkv87e_class type~rkv87e_class->type~rk_variable_step_class type~rkv87r_class rkv87r_class type~rkv87r_class->type~rk_variable_step_class type~rkv89_class rkv89_class type~rkv89_class->type~rk_variable_step_class type~rkv98e_class rkv98e_class type~rkv98e_class->type~rk_variable_step_class type~rkv98r_class rkv98r_class type~rkv98r_class->type~rk_variable_step_class type~rkz10_class rkz10_class type~rkz10_class->type~rk_fixed_step_class
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