**midpoint_gsl_test**,
a C code which
calls the Gnu Scientific Library (GSL) implicit midpoint method
solver for ordinary differential equation (ODE), and uses
gnuplot() to plot the resulting solution.

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

euler, a C code which solves one or more ordinary differential equations (ODE) using the forward Euler method.

lorenz_ode, a C code which sets up the Lorenz system of ordinary differential equations (ODE), which exhibit sensitive dependence on the initial conditions.

midpoint_explicit, a C code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.

midpoint_fixed, a C code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration to solve the associated nonlinear equation.

ode, a C code which solves a system of ordinary differential equations (ODE), by Shampine and Gordon.

ode_moshier, a C code which implements the Adams-Bashforth-Moulton and Runge-Kutta (RK) methods of solving systems of ordinary differential equations (ODE), by Steven Moshier.

predator_prey_ode, a C code which solves a pair of predator prey ordinary differential equations (ODE).

stiff_ode, a C code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.

three_body_ode, a C code which defines a set of ordinary differential equations (ODE) which simulates the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.

- midpoint_gsl_test.c, calls all the tests.
- midpoint_gsl_test.sh, runs all the tests.
- midpoint_gsl_test.txt, the output file.

- midpoint_gsl_data.txt, the output file.
- gnuplot_commands.txt