A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.
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Updated
Jul 15, 2024 - Python
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.
Project on numerical computation for the dynamics of mechanical systems. Simulation of particle, rigid body and Multibody systems.
Solving various PDEs by employing Siren, with JAX implementation.
Sample app for visualizing profiles caused by different differential equations
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.
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.
Bimetric 3+1 evolution
Runge Kutta method (RKM) for solving initial value problems (IVP's) of arbitraty order in MATLAB.
Bimetric 3+1 evolution
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.
A repo for keeping various numerical Solvers
Solves initial value problem of SIQRD equations. Optimizes coefficients of this pandemic model, so that simualtions match observed. Implements three IVP schemes and two gradient optimization methods with line search using Wolfe conditions.
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