Denis E. Khmelnov

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 15

Top Topics

Differential Equations

Linear Combination

Numerical Integration

Top Venues

Program. Comput. Softw.

ACM Commun. Comput. Algebra

Publications

Anna A. Ryabenko, Denis E. Khmelnov
Searching for Laurent Solutions of Truncated Systems of Linear Differential Equations with the Use of EG-Eliminations. Program. Comput. Softw. 50 (2) (2024)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Searching for Laurent Solutions of Systems of Linear Differential Equations with Truncated Power Series in the Role of Coefficients. Program. Comput. Softw. 49 (5) (2023)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Exhaustive Use of Information on an Equation with Truncated Coefficients. Program. Comput. Softw. 48 (2) (2022)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs. CASC (2022)
Sergey A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Procedures for Constructing Truncated Solutions of Linear Differential Equations with Infinite and Truncated Power Series in the Role of Coefficients. Program. Comput. Softw. 47 (2) (2021)
Sergey A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients. MC (2020)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series. Program. Comput. Softw. 46 (2) (2020)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations. CASC (2020)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
Checkpoints in searching for rational solutions of linear ordinary difference and differential systems. ACM Commun. Comput. Algebra 54 (2) (2020)
Sergei A. Abramov, Denis E. Khmelnov
Package of Procedures for Inverting Matrices Whose Entries are Linear Difference Operators. Program. Comput. Softw. 45 (5) (2019)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Laurent, Rational, and Hypergeometric Solutions of Linear q-Difference Systems of Arbitrary Order with Polynomial Coefficients. Program. Comput. Softw. 44 (2) (2018)
Sergei A. Abramov, Denis E. Khmelnov
On Unimodular Matrices of Difference Operators. CASC (2018)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Revealing matrices of linear differential systems of arbitrary order. Program. Comput. Softw. 43 (2) (2017)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients. Program. Comput. Softw. 42 (2) (2016)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
On full rank differential systems with power series coefficients. J. Symb. Comput. 68 (2015)
Sergei A. Abramov, Denis E. Khmelnov
Regular solutions of linear differential systems with power series coefficients. Program. Comput. Softw. 40 (2) (2014)
Sergei A. Abramov, Denis E. Khmelnov
Linear differential and difference systems: EGδ- and EGσ- eliminations. Program. Comput. Softw. 39 (2) (2013)
Sergei A. Abramov, Denis E. Khmelnov
Denominators of rational solutions of linear difference systems of an arbitrary order. Program. Comput. Softw. 38 (2) (2012)
Sergei A. Abramov, Denis E. Khmelnov
On valuations of meromorphic solutions of arbitrary-order linear difference systems with polynomial coefficients. ISSAC (2012)
Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov
Rational solutions of linear difference equations: Universal denominators and denominator bounds. Program. Comput. Softw. 37 (2) (2011)
Anna A. Ryabenko, Denis E. Khmelnov
Hypergeometric pattern matching summation in maple. Program. Comput. Softw. 36 (2) (2010)
Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov
Factorization of Polynomials and GCD Computations for Finding Universal Denominators. CASC (2010)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
-Interlacing Solutions of Linear Difference Equations. CASC (2009)
Denis E. Khmelnov
Search for Liouvillian solutions of linear recurrence equations in the MAPLE computer algebra system. Program. Comput. Softw. 34 (4) (2008)
Sergei A. Abramov, Manuel Bronstein, Denis E. Khmelnov
On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems. CASC (2005)
Denis E. Khmelnov
Search for Polynomial Solutions of Linear Functional Systems by Means of Induced Recurrences. Program. Comput. Softw. 30 (2) (2004)
Denis E. Khmelnov
Basis Selection in Solving Linear Functional Equations. Program. Comput. Softw. 28 (2) (2002)
Denis E. Khmelnov
MEG-Eliminations. Program. Comput. Softw. 27 (1) (2001)
Denis E. Khmelnov
-difference equations. Program. Comput. Softw. 26 (2) (2000)