Shemyakova, Ekaterina

Ekaterina Shemyakova
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Positions

Associate Chair, Mathematics and Statistics , College of Natural Sciences and Mathematics

Contact Info

Ekaterina.Shemyakova@utoledo.edu

http://homepages.utoledo.edu/eshemya/

selected publications

Article (Faculty180)
- On super cluster algebras based on super Plücker and super Ptolemy relations
Article (Web of Science)
- 2021
  
  On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms. LETTERS IN MATHEMATICAL PHYSICS. 111.
  Full Text via DOI: 10.1007/s11005-021-01383-4
- 2021
  
  On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 74.
  Full Text via DOI: 10.1016/j.difgeo.2020.101704
- 2019
  
  Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator. LETTERS IN MATHEMATICAL PHYSICS. 109:403-421.
  Full Text via DOI: 10.1007/s11005-018-1113-9
- 2017
  
  Classification of Multidimensional Darboux Transformations: First Order and Continued Type. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS.
  Full Text via DOI: 10.3842/sigma.2017.010
- 2017
  
  Differential operators on the superline, Berezinians, and Darboux transformations. LETTERS IN MATHEMATICAL PHYSICS. 107:1689-1714.
  Full Text via DOI: 10.1007/s11005-017-0958-7
- 2016
  
  An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables. Programming and Computer Software. 42:112-119.
  Full Text via DOI: 10.1134/s0361768816020092
- 2015
  
  Darboux transformations for differential operators on the superline. Russian Mathematical Surveys. 70:1173-1175.
  Full Text via DOI: 10.1070/rm2015v070n06abeh004978
- 2015
  
  Invertible Darboux transformations of type I. Programming and Computer Software. 41:119-125.
  Full Text via DOI: 10.1134/s0361768815020085
- 2014
  
  Darboux transformations for factorable Laplace operators. Programming and Computer Software. 40:151-157.
  Full Text via DOI: 10.1134/s0361768814030062
- 2013
  
  A package to work with linear partial differential operators. Programming and Computer Software. 39:212-219.
  Full Text via DOI: 10.1134/s0361768813040063
- 2013
  
  Invertible Darboux Transformations. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS.
  Full Text via DOI: 10.3842/sigma.2013.002
- 2013
  
  Proof of the Completeness of Darboux Wronskian Formulae for Order Two. Canadian Journal of Mathematics. 65:655-674.
  Full Text via DOI: 10.4153/cjm-2012-026-7
- 2012
  
  Laplace transformations as the only degenerate Darboux transformations of first order. Programming and Computer Software. 38:105-108.
  Full Text via DOI: 10.1134/s0361768812020053
- 2011
  
  X- and Y-invariants of partial differential operators in the plane. Programming and Computer Software. 37:192-196.
  Full Text via DOI: 10.1134/s0361768811020095
- 2010
  
  A conjecture concerning a completely monotonic function. Computers & Mathematics with Applications. 60:1360-1363.
  Full Text via DOI: 10.1016/j.camwa.2010.06.017
- 2010
  
  Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension. Mathematics in Computer Science. 4:223-230.
  Full Text via DOI: 10.1007/s11786-010-0052-3
- 2009
  
  Differential transformations of parabolic second-order operators in the plane. Proceedings of the Steklov Institute of Mathematics. 266:219-227.
  Full Text via DOI: 10.1134/s0081543809030134
- 2007
  
  Obstacles to factorization of partial differential operators into several factors. Programming and Computer Software. 33:67-73.
  Full Text via DOI: 10.1134/s036176880702003x
- 2007
  
  Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane. Mathematics in Computer Science. 1:225-237.
  Full Text via DOI: 10.1007/s11786-007-0019-1
- 2004
  
  Involutive Divisions. Graphs. Programming and Computer Software. 30:68-74.
  Full Text via DOI: 10.1023/b:pacs.0000021263.97826.ef
Book Chapter (Web of Science)
- 2012
  
  Linear Partial Differential Equations and Linear Partial Differential Operators in Computer Algebra. Texts & Monographs in Symbolic Computation. 333-358.
  Full Text via DOI: 10.1007/978-3-7091-0794-2_14
Correction (Web of Science)
- 2021
  
  On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms (vol 111, 41, 2021). LETTERS IN MATHEMATICAL PHYSICS.
  Full Text via DOI: 10.1007/s11005-021-01421-1

featured in

https://scholars.utoledo.edu/individual/other_activity-3479 Press (Faculty180)

full name

Ekaterina Shemyakova

visualizations

Cumulative publications in Scholars@UToledo

Co-author Network

research areas

Physics