GitHub

Poisson PDE Solver with PETSc

This project solves the two-dimensional Poisson equation on a unit square using second-order finite differences. Two implementations are provided: A Python reference solver that relies on NumPy and ...
GitHub

Fractional Black-Scholes PDE Solver Prototype

Implements the fractional-order Black-Scholes equation using Caputo fractional derivatives. Numerically solves the PDE using finite difference methods with a ...
note

Fourier Neural Operator（FNO）：PDE 解法をニューラルネットで一般化する

この記事は ArXiv:2010.08895 “Fourier Neural Operator for Parametric Partial Differential Equations” をもとに、ChatGPT による要約と解説を含むものです。正確性を期すには原論文を参照してください。 背景と問題設定 多くの現象（流体の流れ、熱伝導、弾性体の応答など）は ...
IEEE

A Non-Linear Partial Differential Equation Solver Based on Analog Memristor Crossbar Arrays

Abstract: An analog memristor-crossbar-array-based non-linear partial differential equation (PDE) solver is developed and verified through circuit-level simulations using realistic memristor device ...