24 citations · 82 across the 16 of their papers we have counts for
18 papers
On the Direct Problem in Differential Galois Theory for the Classical Groups
Daniel Robertz, Matthias Seiss
Let be a classical group of Lie rank and let be an algebraically closed field of characteristic zero. For differential indeterminates $\boldsymbol{v}=(v_1,\dots,v_l…
On boundary conditions parametrized by analytic functions
Markus Lange-Hegermann, Daniel Robertz
Computer algebra can answer various questions about partial differential equations using symbolic algorithms. However, the inclusion of data into equations is rare in computer alge…
Normal Forms in Differential Galois Theory for the Classical Groups
Daniel Robertz, Matthias Seiss
Let be a classical group of dimension and let be differential indeterminates over a differential field of characteristic zero with alge…
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
Jose Cano, Sebastian Falkensteiner, Daniel Robertz +1
In this paper we study systems of autonomous algebraic ODEs in several differential indeterminates. We develop a notion of algebraic dimension of such systems by considering them a…
Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations
Vladimir P. Gerdt, Daniel Robertz, Yuri A. Blinkov
For a wide class of polynomially nonlinear systems of partial differential equations we suggest an algorithmic approach that combines differential and difference algebra to analyze…
Singularities of Algebraic Differential Equations
Markus Lange-Hegermann, Daniel Robertz, Werner M. Seiler +1
There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose…