A Full System of Invariants for Third-Order Linear Partial Differential Operators. - Ekaterina Shemyakova (AISC, 2006)

Approximate factorization of linear partial differential operators: full system of invariants for order three. - Ekaterina Shemyakova; Franz Winkler 001 (ACM Commun. Comput. Algebra, 2006)

On the Invariant Properties of Hyperbolic Bivariate Third-Order Linear Partial Differential Operators. - Ekaterina Shemyakova; Franz Winkler 001 (ASCM, 2007)

A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form. - Ekaterina Shemyakova; Franz Winkler 001 (CASC, 2007)

Symbolic and Algebraic Methods for Linear Partial Differential Operators. - Franz Winkler 001; Ekaterina Shemyakova (CASC, 2007)

Symbolic-algebraic methods for linear partial differential operators. - Ekaterina Shemyakova (ACM Commun. Comput. Algebra, 2007)

Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane. - Ekaterina Shemyakova (Math. Comput. Sci., 2007)

Moving frames for laplace invariants. - Ekaterina Shemyakova; Elizabeth L. Mansfield (ISSAC, 2008)

Multiple Factorizations of Bivariate Linear Partial Differential Operators. - Ekaterina Shemyakova (CASC, 2009)

Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators. - Ekaterina Shemyakova (Calculemus/MKM, 2009)

X- and Y -invariants for Darboux transformations. - Ekaterina Shemyakova (ACM Commun. Comput. Algebra, 2010)

A conjecture concerning a completely monotonic function. - Ekaterina Shemyakova; S. I. Khashin; D. J. Jeffrey (Comput. Math. Appl., 2010)

Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension. - Ekaterina Shemyakova (Math. Comput. Sci., 2010)

Laplace transformations as the only degenerate Darboux transformations of first order. - Ekaterina Shemyakova (Program. Comput. Softw., 2012)

A package to work with linear partial differential operators. - Ekaterina Shemyakova (Program. Comput. Softw., 2013)

Darboux transformations for factorable Laplace operators. - Ekaterina Shemyakova (Program. Comput. Softw., 2014)

An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables. - Ekaterina Shemyakova (Program. Comput. Softw., 2016)

Growing an architecture for a neural network. - Sergey Khashin; Ekaterina Shemyakova (CoRR, 2021)