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…

Affine Particle-in-Cell Water Simulation in 2D

Solid state detector field and charge drift simulation in Julia

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.

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

Python implementation of Poisson matting method

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

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

FEM Tutorial for Beginners

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

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

Schrodinger-Poisson solver in 1D demonstrator

A Python implementation of the paper "The virtual element method in 50 lines of MATLAB" by Oliver J. Sutton

A Schrödinger-Poisson solver for 2D materials with 1D interfaces (wires)

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.

Source code for Deep Multigrid method https://arxiv.org/pdf/1711.03825.pdf

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