PDE approximation of large systems of differential equations

András Bátkai, Ágnes Havasi, Róbert Horváth, Dávid Kunszenti-Kovács, Péter L. Simon

Research output: Contribution to journalArticle

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)147-163
Number of pages17
JournalOperators and Matrices
Issue number1
Publication statusPublished - Mar 1 2015



  • Approximation theorems
  • C<inf>0</inf> -semigroups
  • Dynamics on networks
  • Finite differences

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

Bátkai, A., Havasi, Á., Horváth, R., Kunszenti-Kovács, D., & Simon, P. L. (2015). PDE approximation of large systems of differential equations. Operators and Matrices, 9(1), 147-163. https://doi.org/10.7153/oam-09-08