119 citations · 269 across the 38 of their papers we have counts for
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Observable functions of rational ODE models and how to find them
Alexander Demin, Gleb Pogudin, Christopher Rackauckas
Consider a parametric ODE control model. A function of the states and parameters is called observable if its value can in principle be reconstructed from input-output data. The obs…
The Lie algebra of polynomial vector fields on the affine space with constant divergence is -generated
Ivan Beldiev, Gleb Pogudin
A Lie algebra is said to be -generated if every nonzero element can be completed to a two-element generating set. We prove that the Lie algebra of polynomial vector fields wit…
Quadratization of Autonomous Partial Differential Equations: Algorithmic Solutions
Albani Olivieri, Gleb Pogudin, Boris Kramer
Quadratization for partial differential equations (PDEs) is a process that formally transforms a PDE with a nonquadratic right-hand side into a quadratic form by introducing auxili…
Simple generators of rational function fields
Alexander Demin, Gleb Pogudin
Consider a subfield of the field of rational functions in several indeterminates. We present an algorithm that, given a set of generators of such a subfield, finds a simple generat…