PDE approximation of large systems of differential equations
Functional Analysis
2014-03-26 v3 Dynamical Systems
Abstract
A large system of ordinary differential equations is approximated by a parabolic partial differential equation with dynamic boundary condition and a different one with Robin boundary condition. Using the theory of differential operators with Wentzell boundary conditions and similar theories, we give estimates on the order of approximation. The theory is demonstrated on a voter model where the Fourier method applied to the PDE is of great advantage.
Keywords
Cite
@article{arxiv.1303.6235,
title = {PDE approximation of large systems of differential equations},
author = {András Bátkai and Ágnes Havasi and Róbert Horváth and Dávid Kunszenti-Kovács and Péter L. Simon},
journal= {arXiv preprint arXiv:1303.6235},
year = {2014}
}
Comments
reviewer requests incorporated, to appear in "Operators and Matrices"