poisson-equation

MACS -- Model-based Analysis of ChIP-Seq

Python script for Linear, Non-Linear Convection, Burger’s & Poisson Equation in 1D & 2D, 1D Diffusion Equation using Standard Wall Function, 2D Heat Conduction Convection equation with Dirichlet & Neumann BC, full Navier-Stokes Equation coupled with Poisson equation for Cavity and Channel flow in 2D using Finite Difference Method & Finite Volume…

Solid state detector field and charge drift simulation in Julia

Affine Particle-in-Cell Water Simulation in 2D

Finite difference solution of 2D Poisson equation. Can handle Dirichlet, Neumann and mixed boundary conditions.

Implementation of the 12 steps approach to the Navier-Stokes equations, essential for simulating fluid dynamics.

Invert geophysical fluid dynamic problems (elliptic partial differential equations) using SOR iteration method.

Author's implementation of SIGGRAPH 2023 paper, "A Practical Walk-on-Boundary Method for Boundary Value Problems."

Python implementation of Poisson matting method

Fast, scalable, and extensive implementations of Poisson image editing algorithms.

Portable C++ code that computes the shape of a transparant surface to cast an image as a shadow eg caustic design

FEM Tutorial for Beginners

The Poisson equation is an integral part of many physical phenomena, yet its computation is often time-consuming. This module presents an efficient method using physics-informed neural networks (PINNs) to rapidly solve arbitrary 2D Poisson problems.

Author's implementation of SIGGRAPH 2024 paper, "Velocity-Based Monte Carlo Fluids"

Simplified implementation of locally adaptive activation functions (LAAF) with slope recovery for deep and physics-informed neural networks (PINNs) in PyTorch.

Schrodinger-Poisson solver in 1D demonstrator

DirectX 11 Poisson solvers using Jacobi iteration, conjugate gradient, and multi-grid method respectively.

Machine Learning enhanced CFD solvers: isothermal & thermal fluid flow

A self-contained 2D finite-element electrostatics solver for simulating real capacitor geometries — parallel plates, coaxial cables, and arbitrary shapes built from simple primitives — rather than relying on closed-form formulas that only exist for a handful of idealized geometries. Pure NumPy / SciPy / Matplotlib.