A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

∫ Straightforward numerical integration of systems of ordinary differential equations

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

A Python library for solving Initial Value Problems using various numerical integration methods.

A zoo of implementations of differential equation problems in NumPy and JAX. Oscillators, chemical reactions, n-body problems, epidemiological models, IVPs, BVPs, and more.

Solving various PDEs by employing Siren, with JAX implementation.

Numerically computing the dynamics of mechanical systems.

Sample app for visualizing profiles caused by different differential equations

Numerical Solution for Ordinary Differential Equations - Euler, Ralston's Second-Order RK, Fourth-Order Runge-Kutta, NSS Heun, Adams-Bashforts, Adams-Moulton

Euler's Method in Python to approximate solution of IVPs (differential equations)

Differential equations' solutions in C developed during the Computational Mathematics course @cse.uoi.gr

Test Set for Initial Value Problems

Here, we will provide a PyTorch regime to handle the partial differential equation solution of the heat equation by executing Deep Kolmogorov Method of Beck et. al.

The first task for the course "Numerical Methods for Initial Value Problem" in TAU 2019

Bimetric 3+1 evolution

Euler's and Runge-Kutta methods comparison on solving initial value problem on Lotka-Volterra equations and other functions

Algorithms and theory exercises for my Numerical Methods II classes. Most codes made in python.

The method of stationary phase and the centred-difference approximation are used to generate the finite-difference scheme for solving Klein-Gordon equation in MATLAB.

Formulas of this year's [2024] NPTEL Course titled Advanced Computational Techniques

A repo for keeping various numerical Solvers