MRKISS 2025-09-10
A tiny library with zero dependencies that aims to make it easy to use & experiment with explicit Runge-Kutta methods.
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File List
Here is a list of all files with brief descriptions:
 
mrkiss_config.f90
Configuration for MRKISS == MR RK KISS == Mitch Richling's Runge-Kutta Keep It Simple Stupid
 
mrkiss_eerk_bogacki_shampine_3_2.f90
Butcher tableau for Bogacki Shampine's 4 step, order (3,2) Runge-Kutta method
 
mrkiss_eerk_bogacki_shampine_4_5.f90
Butcher tableau for Bogacki Shampine's 8 step, order (4,5) Runge-Kutta method
 
mrkiss_eerk_cash_karp_5_4.f90
Butcher tableau for Cash & Karp's 4 step, order (5,4) Runge-Kutta method
 
mrkiss_eerk_dormand_prince_5_4.f90
Butcher tableau for Dormand & Prince's 7 stage, Order (5,4) Runge-Kutta method
 
mrkiss_eerk_dormand_prince_7_8.f90
Butcher tableau for Dormand & Prince's 13 stage, Order (7,8) Runge-Kutta method
 
mrkiss_eerk_fehlberg_4_5.f90
Butcher tableau for Fehlberg's 6 stage, Order (4,5) Runge-Kutta method
 
mrkiss_eerk_fehlberg_7_8.f90
Butcher tableau for Fehlberg's 13 stage, Order (7,8) Runge-Kutta method
 
mrkiss_eerk_heun_euler_2_1.f90
Butcher tableau for Heun & Euler 2 step, order (2,1) Runge-Kutta method
 
mrkiss_eerk_sofroniou_spaletta_4_3.f90
Butcher tableau for Sofroniou Spaletta's 5 step, order (4,3) Runge-Kutta method
 
mrkiss_eerk_tsitouras_arkode_5_4.f90
Butcher tableau for ARKODE's Tsitouras 7 stage Order (5,4) Runge-Kutta method
 
mrkiss_eerk_verner_1978_6_5.f90
Butcher tableau for Verner's 8 stage, Order (6,5) Runge-Kutta method (1978)
 
mrkiss_eerk_verner_2010_6_5.f90
Butcher tableau for Verner's 9 stage, Order (6,5) Runge-Kutta method (2010)
 
mrkiss_eerk_verner_7_6.f90
Butcher tableau for Verner's 10 stage, Order (7,6) Runge-Kutta method
 
mrkiss_eerk_verner_8_7.f90
Butcher tableau for Verner's 13 stage, Order (8,7) Runge-Kutta method
 
mrkiss_eerk_verner_9_8.f90
Butcher tableau for Verner's 16 stage, Order (9,8) Runge-Kutta method
 
mrkiss_erk_euler_1.f90
Butcher tableau for Euler 1 step, order (1) Runge-Kutta method
 
mrkiss_erk_feagin_10.f90
Butcher tableau for Feagin's 16 stage order (10) Runge-Kutta method
 
mrkiss_erk_knoth_wolke_3.f90
Butcher tableau for Knoth & wolke's 3 stage Runge-Kutta method of O(3)
 
mrkiss_erk_kutta_4.f90
Butcher tableau for the classic 4 stage Runge-Kutta method of O(4)
 
mrkiss_erk_kutta_three_eight_4.f90
Butcher tableau for the three eights rule. A 4 step, order (4) Runge-Kutta method
 
mrkiss_erk_midpoint_2.f90
Butcher tableau for midpoint 2 step, order (2) Runge-Kutta method
 
mrkiss_erk_nystrom_5.f90
Butcher tableau for the classic 4 stage Runge-Kutta method of O(4)
 
mrkiss_erk_ralston_2.f90
Butcher tableau for ralston's 2 stage order (4) Runge-Kutta method
 
mrkiss_erk_ralston_3.f90
Butcher tableau for ralston's 3 stage order (3) Runge-Kutta method
 
mrkiss_erk_ralston_4.f90
Butcher tableau for ralston's 4 stage order (4) Runge-Kutta method
 
mrkiss_solvers_nt.f90
RK Solvers
 
mrkiss_solvers_wt.f90
RK Solvers
 
mrkiss_utils.f90
Utilities for MRKISS