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Russian mathematician finds new approach to 190-year-old 'eternal' math problem

A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and ...
GitHub

zwicker-group/py-pde

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...
IEEE

Solving Future Different-Layer Nonlinear and Linear Equation System Using New Eight-Node DZNN Model

Abstract: In this article, a future different-layer nonlinear and linear equation system (DLNLES) is investigated. First, based on a zeroing neural network (ZNN) method, a zeroing equivalency theorem ...
IEEE

Solving Poisson's Equation using Deep Learning in Particle Simulation of PN Junction

Abstract: Simulating the dynamic characteristics of a PN junction at the microscopic level requires solving the Poisson's equation at every time step. Solving at every time step is a necessary but ...
GitHub

Finite basis physics-informed neural networks (FBPINNs)

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...