Python package for computation of magnetic fields of magnets, currents and moments.

Method of Manufactured Solutions Repository

A python-package containing analytical solutions for the groundwater flow equation

Fast analytical implementation of batch eigen-decomposition for 3x3 symmetric matrices with Pytorch. > 250x faster than regular Pytorch implementation of batch eigen-decomposition on GPU.

Julia implementations of symbolic integration algorithms. Risch method, Rule-based integration (RUBI), and much more.

Comparison of Abaqus Library, UMAT, and Analytical Solution for Neo-Hookean Hyperelastic Material Under Large Deformations

Python package extending the Magpylib library by providing magnetic field analysis for soft materials and demagnetization of hard magnets.

Analytical solution to forward/inverse kinematics of robot manipulator, path planning using RMRC Algorithm

Analytical solutions for groundwater contaminant transport

Program to calculate analytical MT response functions for a 2-D sinusoidal interface

Stoker (1957) analytical solution for ideal dam-break problems

Using Gaussian Analytical Solution to accelerate diffusion sampling. Official code repo for the paper TMLR 2024, "The Unreasonable Effectiveness of Gaussian Score Approximation for Diffusion Models and its Applications" https://arxiv.org/abs/2412.09726

Visualization of the hydrogen atom orbitals using the analytical solution of the time independent Schrodinger equation for the hydrogen atom

An analytical model to solve for 2D landscape evolution using the stream power law

Evaluation of an analytical Volterra series solution to the Burgers equation

Visualization of Solute Transport in 1D Free and Porous Media Flow

Analytical solutions for the shallow water equations over a bump

Analytic solution to the Damped Wave Equation using Fourier Series.

Analytical solutions for breakthrough curves

This repository contains Python codes for analyzing heat conduction in a hollow cylinder, focusing on analytical solutions for temperature distribution under various 1D heat flow conditions. The scripts illustrate how temperature changes over space within the hollow cylinder based on different boundary conditions and initial temperatures.