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Workshop

Thomas Decomposition for Differential Systems and for Difference Systems

  • Daniel Robertz (RWTH Aachen, Germany)
E1 05 (Leibniz-Saal)

Abstract

Given a system of linear or nonlinear partial differential equations, various tasks like determining all power series solutions, finding all compatibility conditions, or deciding whether another given equation is a consequence of the system, require formal manipulation of the system. The Thomas decomposition method lends itself to answering such questions. It splits a differential system into finitely many so-called simple differential systems whose solution sets form a partition of the original solution set. This talk gives an introduction to this method and presents recent advances in a similar technique for difference equations and applications to the study of finite difference schemes.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Rida Ait El Manssour

Max Planck Institute for Mathematics in the Sciences

Marc Härkönen

Georgia Institute of Technology

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences