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20052022
most citedStrong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations

2 citations · 3 across the 5 of their papers we have counts for

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cs.SC2020★ 2 cited

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…

math.AC2020

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…

math.OC2020

Thomas Decomposition and Nonlinear Control Systems

Markus Lange-Hegermann, Daniel Robertz

This paper applies the Thomas decomposition technique to nonlinear control systems, in particular to the study of the dependence of the system behavior on parameters. Thomas' algor…