AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.

Fortran Object-Oriented Differential-equations Integration Environment, FOODIE

Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran

Fixed and variable-step Runge-Kutta solvers in Modern Fortran

Modern Fortran Edition of Hairer's DOP853 ODE Solver. An explicit Runge-Kutta method of order 8(5,3) for problems y'=f(x,y); with dense output of order 7

Work in Progress to refactor and modernize the ODEPACK Library

Fortran Library for numerical INTegration of differential equations

Modern Fortran implementation of the DDEABM Adams-Bashforth algorithm

John Burkardt's Fortran 90 codes and documentation

Adaptive solver for stiff systems of ODEs using semi-implicit Runge-Kutta method of third order

Modern Fortran interface to the LSODA and LSODAR routines in ODEPACK

A generic Runge-Kutta module to solve a system of ODEs

Binding to the ODEPACK FORTRAN library

Unofficial mirror of RKSUITE http://www.netlib.org/ode/rksuite/

Fehlberg fourth-fifth order Runge-Kutta method. (rkf45)

Modern Fortran Edition of the DVODE ODE Solver

Code from the book of the same name by Forsythe, Malcolm, and Moler, translated to Fortran 90 by Ralph Carmichael

Euler and Runge-Kutta numerical methods of ODE solution

A Julia wrap around Fortran ODE solver

Small scale Physics projects developed in modern Fortran throughout my university computational laboratories.