The official implementation for ICLR23 spotlight paper "DIFFormer: Scalable (Graph) Transformers Induced by Energy Constrained Diffusion"

Climate Modeling with Neural Diffusion Equation, ICDM'21

Crank-Nicolson method for the heat equation in 2D

Undergraduate research project completed at Penn State University on "The Application of PDEs to Finance: Black-Scholes model for Options Pricing"

Numerical library for nonlinear diffusion problems in semi-infinite domains

Sensor nonlinear channel modeling

3-MOT is a multi-physics software relying on FEniCS.

Implementation of numerical method to solve the 1D diffusion equation with variable diffusivity and non-zero source terms.

⚛️ Nonlinear diffusion problems with JAX

Classical Finite Differences Schemes for numerically solve different Partial Differential Equations.

Determines the diffusion coefficient of chloride through concrete by least-squares fitting

A simple implementation of a Variational Quantum Eigensolver routine with binary mapping based on Qiskit

This project simulates the diffusion of gass molecules within a confined spaces consisting of two concentric squares. The inner suare has a length of a, and the outer has a length of b, where b > a. The simulation explores the movement behavior of two types of gas molecule and graphs Entropy Vs time for gass in the inner square.

A small diffusion code that compares gpu parallelized python and julia codes

⚡ Streamline option pricing with ML surrogate models, achieving 100-1000x speedup and <1% error for efficient real-time risk management.

The diffusion equation is a parabolic partial differential equation. The 1-D form of the diffusion equation is also known as the heat equation. This is a program to solve the diffusion equation nmerically.