- allen_cahn_ode, an Octave code which sets up and solves the 1D Allen-Cahn reaction-diffusion ordinary differential equation (ODE).
- allen_cahn_ode_test
- arenstorf_ode, an Octave code which describes an ordinary differential equation (ODE) which defines a stable periodic orbit of a spacecraft around the Earth and the Moon.
- arenstorf_ode_test
- backward_euler, an Octave code which solves one or more ordinary differential equations (ODE) using the backward Euler method.
- backward_euler_test
- biochemical_linear_ode, an Octave code which defines a linear biochemical ordinary differential equation (ODE).
- biochemical_linear_ode_test
- biochemical_nonlinear_ode, an Octave code which defines a nonlinear biochemical ordinary differential equation (ODE).
- biochemical_nonlinear_ode_test
- boundary_word, an Octave code which works with a polyomino that is described by its boundary word, a sequence of U/D/L/R symbols that indicate how to trace out its boundary.
- boundary_word_test
- box_games, an Octave code which assists in the display of game boards (checkers, cellular automatons, life);
- box_games_test
- brusselator_ode, an Octave code which defines the Brusselator ordinary differential equation (ODE) system.
- brusselator_ode_test
- diophantine_nd, an Octave code which is given a Diophantine equation in N variables, and returns all nonnegative solutions, or all strictly positive solutions.
- diophantine_nd_test
- double_pendulum_ode, an Octave code which defines the double pendulum ordinary differential equation (ODE).
- double_pendulum_ode_test
- euler, an Octave code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
- euler_test
- flame_ode, an Octave code which considers an ordinary differential equation (ODE) which models the growth of a ball of flame in a combustion process.
- flame_ode_test
- fsolve_test, an Octave code which calls fsolve() which seeks the solution x of one or more nonlinear equations f(x)=0.
- graphics_test, Octave codes which graphically display various kinds of data.
- hello, an Octave code which prints out "Hello, world!".
- hello_test
- henon_heiles_ode, an Octave code which solves the Henon-Heiles system of ordinary differential equations (ODE) which model the motion of a star around the galactic center.
- henon_heiles_ode_test
- humps_ode, an Octave code which solves an ordinary differential equation (ODE) whose solution is a double hump curve.
- humps_ode_test
- i4lib, an Octave code which contains many utility routines, using single precision integer (I4) arithmetic.
- i4lib_test
- kepler_ode, an Octave code which defines the ordinary differential equations (ODE) for a Kepler two-body gravitational system.
- kepler_ode_test
- kepler_perturbed_ode, an Octave code which defines the ordinary differential equations (ODE) for a perturbed Kepler two-body gravitational system.
- kepler_perturbed_ode_test
- lorenz_ode, an Octave code which defines the right hand side of the Lorenz system of ordinary differential equations (ODE).
- lorenz_ode_test
- midpoint, an Octave code which solves one or more ordinary differential equations (ODE) using the midpoint method.
- midpoint_test
- navier_stokes_2d_exact, an Octave code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.
- navier_stokes_2d_exact_test
- normal_ode, an Octave code which sets up an ordinary differential equation (ODE) defining the normal probability density function (PDF).
- normal_ode_test
- octopus, a Octave code which contains some Octave-specific utilities.
- octopus_test
- oscillator_ode, an Octave code which defines the highly oscillatory ordinary differential equation (ODE).
- oscillator_ode_test
- pariomino, an Octave code which considers pariominoes, which are polyominoes with a checkerboard parity.
- pariomino_test
- pendulum_ode, an Octave code which sets up the ordinary differential equations (ODE) that represent a linear model of the behavior of a pendulum of length L under a gravitational force of strength G.
- pendulum_ode_test
- pendulum_nonlinear_ode, an Octave code which sets up the ordinary differential equations (ODE) that represent a nonlinear model of the behavior of a pendulum of length L under a gravitational force of strength G.
- pendulum_nonlinear_ode_test
- polyiamonds, an Octave code which works with polyiamonds, simple shapes constructed by edgewise connections of congruent equilateral triangles.
- polyiamonds_test
- polyomino_parity, an Octave code which uses parity considerations to determine whether a given set of polyominoes can tile a specified region.
- polyomino_parity_test
- polyominoes, an Octave code which defines, solves, and plots a variety of polyomino tiling problems, which are solved by a direct algebraic approach, instead of the more typical brute-force or backtracking methods.
- polyominoes_test
- predator_prey_ode, an Octave code which solves a time-dependent predator-prey system of ordinary differential equations (ODE).
- predator_prey_ode_test
- quadex_ode a MATLAB code which solves a stiff ordinary differential equation (ODE), whose exact solution is a parabola, but for which errors grow exponentially.
- quadex_ode_test
- quasiperiodic_ode, an Octave code which sets up a system of ordinary differential equations (ODE) for a problem with a quasiperiodic solution.
- quasiperiodic_ode_test
- r8lib, an Octave code which contains many utility routines, using double precision real (R8) arithmetic.
- r8lib_test
- rk12, an Octave code which applies Runge-Kutta (RK) solvers of order 1 and 2 to a system of ordinary differential equations (ODE);
- rk12_test
- rk23, an Octave code which applies Runge-Kutta (RK) solvers of order 2 and 3 to a system of ordinary differential equations (ODE);
- rk23_test
- rk34, an Octave code which applies Runge-Kutta (RK) solvers of order 3 and 4 to a system of ordinary differential equations (ODE);
- rk34_test
- rk4, an Octave code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE) at the next time step.
- rk4_test
- rk45, an Octave code which applies Runge-Kutta (RK) solvers of order 4 and 5 to a system of ordinary differential equations (ODE);
- rk45_test
- rkf45, an Octave code which applies a Runge-Kutta-Fehlberg (RKF) solver to a system of ordinary differential equations (ODE);
- rkf45_test
- robertson_ode, an Octave code which sets up a system of three nonlinear stiff ordinary differential equations (ODE) characterizing an autocatalytic chemical reaction.
- robertson_ode_test
- roessler_ode, an Octave code which defines the right hand side of the 3D Roessler system of ordinary differential equations (ODE).
- roessler_ode_test
- rubber_band_ode, an Octave code which defines and solves a set of ordinary differential equations (ODE) describing a mass suspended by a spring and rubber band, which can exhibit chaotic behavior.
- rubber_band_ode_test
- sir_ode, an Octave code which sets up the ordinary differential equations (ODE) which simulate the spread of a disease using the Susceptible/Infected/Recovered (SIR) model.
- sir_ode_test
- sphere_ode, an Octave code which sets up the ordinary differential equations (ODE) which model motion on the surface of a sphere.
- sphere_ode_test
- stiff_ode, an Octave code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
- stiff_ode_test
- string_ode, an Octave code which simulates the behavior of a vibrating string by solving the corresponding initial boundary value problem (IBVP).
- string_ode_test
- subset, an Octave code which enumerates, generates, randomizes, ranks and unranks combinatorial objects including combinations, compositions, Gray codes, index sets, partitions, permutations, polynomials, subsets, and Young tables. Backtracking routines are included to solve some combinatorial problems.
- subset_test
- test_nonlin, an Octave code which implements test problems for the solution of systems of nonlinear equations.
- test_nonlin_test
- test_zero, an Octave code which defines some functions f(x) suitable for testing software that solves a nonlinear equation f(x)=0;
- test_zero_test
- tester, a BASH script which runs the Octave test codes.
- three_body_ode, an Octave code which defines ordinary differential equations (ODE) that simulate the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.
- three_body_ode_test
- timestamp, an Octave code which prints the current YMDHMS date as a timestamp;
- timestamp_test
- trapezoid, an Octave code which solves one or more ordinary differential equations (ODE) using the trapezoid method.
- trapezoid_test
- triangulation_boundary, an Octave code which starts with a triangulation of a simple shape, and determines the triangle edges that form the boundary, and a sequence of nodes that trace the boundary.
- triangulation_boundary_test
- two_body_ode, an Octave code which defines ordinary differential equations (ODE) which simulate the behavior of two bodies, constrained to lie in a plane, moving under the influence of gravity, with one body much more massive than the other.
- two_body_ode_test
- zombie_ode, an Octave code which sets up a system of ordinary differential equations (ODE) for a generalized Susceptible-Infected-Recovered (SIR) disease model to simulate a zombie attack, developed by Philip Munz.
- zombie_ode_test