A Modern Fortran Library for Astrodynamics 🚀

Python notebooks for Numerical Analysis

Self advection, external force and pressure solve to a velocity field represented by a MaC grid.

Numerical methods implementation in Python.

ODE solver library in Rust

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

Numerically solves equations of motion for a given Hamiltonian function

Fortran Library for numerical INTegration of differential equations

High-order ODE solvers as C++ classes with no dependencies

Numerical methods implementation in MATLAB.

A numerical integrator written in Elixir for the solution of sets of non-stiff ordinary differential equations (ODEs).

A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)

A numerical CFD solver for the Shallow Water Equations

Code for efficient solution of oscillatory ordinary differential equations

Computing with B-series in Julia

Electric field lines and equipotentials using Runge-Kutta methods, including adaptive ones

Solve the 1D forced Burgers equation with high order finite elements and finite difference schemes.

FSLE is a Lagrangian diagnostic for analyzing ocean tracer transport and mixing. It computes sub-mesoscale maps and identifies Lagrangian Coherent Structures from velocity field time series, aiding studies of sea surface temperature and ocean color.

Supplementary code for the paper "Meta-Solver for Neural Ordinary Differential Equations" https://arxiv.org/abs/2103.08561

Extend scipy.integrate with various methods for solve_ivp

Lorenz attractor, mathematical Chaos Theory / Butterfly Effect

3D animation of the Lorenz Attractor trajectory, implemented in Python using the 4th order Runge-Kutta method. [Personal project]

ODE system solver made simple. For IVPs (initial value problems).

Finding evidence for the existence of Strange, non-chaotic attractors in the Quasi-periodically driven duffing oscillator.

4th-order Runge-Kutta method for solving the first-order ordinary differential equation (MATLAB)

No description provided.

Runge-Kutta ODE Integrator Implemented in Cython and Numba

Rehuel is a simple C++11 library for solving ordinary differential equations with (implicit) Runge-Kutta methods.

A 2D flow visualization tool based on LIC and RK4. Developed using C++ and VTK.