works on
adaptive algorithms 1error estimation 1local kernel methods 1meshless methods 1poisson equation 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.NA2026

Adaptivity in Local Kernel Based Methods for Approximating Solutions to the Poisson Equation

Jonah A. Reeger, Anders R. Johnson, Shelby W. Woodrum

The paper presents an adaptive, meshless method that uses local kernel approximations and error estimates to automatically refine node placement for solving the Poisson equation, i…

math.NA2026

Observations on Recurrent Loss in the Neural Network Model of a Partial Differential Equation: the Advection-Diffusion Equation

Jonah A. Reeger

A growing body of literature has been leveraging techniques of machine learning (ML) to build novel approaches to approximating the solutions to partial differential equations. Not…