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2020 – today
- 2024
[j25]Moulay A. Barkatou, Thomas Cluzeau:
On the computation of rational solutions of linear integro-differential equations with polynomial coefficients. J. Symb. Comput. 121: 102252 (2024)- [c32]Moulay A. Barkatou
, Lucas Legrand, Tristan Vaccon:
Gröbner Bases Over Polytopal Affinoid Algebras. ISSAC 2024: 188-197 - [i5]Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou:
Hypergeometric Solutions of Linear Difference Systems. CoRR abs/2401.08470 (2024) - [i4]Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon:
Gr{ö}bner bases over polytopal affinoid algebras. CoRR abs/2403.13382 (2024) - 2021
- [j24]Moulay A. Barkatou, Maximilian Jaroschek:
Removing apparent singularities of linear difference systems. J. Symb. Comput. 102: 86-107 (2021) - [j23]Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil:
Formal reduction of singular linear differential systems using eigenrings: A refined approach. J. Symb. Comput. 102: 231-258 (2021) - [c31]Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj:
On Rational Solutions of Pseudo-linear Systems. CASC 2021: 42-61 - 2020
- [i3]Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke:
A Family of Denominator Bounds for First Order Linear Recurrence Systems. CoRR abs/2007.02926 (2020)
2010 – 2019
- 2019
- [j22]Sergei A. Abramov, Moulay A. Barkatou:
Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation. ACM Commun. Comput. Algebra 53(1): 23-30 (2019) - [j21]Moulay A. Barkatou, Suzy S. Maddah:
Formal solutions of singularly-perturbed linear differential systems. J. Symb. Comput. 94: 183-209 (2019) - [c30]Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj:
Simple Forms and Rational Solutions of Pseudo-Linear Systems. ISSAC 2019: 26-33 - [c29]Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj:
PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations. MC 2019: 327-329 - 2018
- [c28]Moulay A. Barkatou, Maximilian Jaroschek:
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients. ISSAC 2018: 39-46 - [c27]Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil:
A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings. ISSAC 2018: 47-54 - [i2]Moulay A. Barkatou, Maximilian Jaroschek:
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients. CoRR abs/1802.01150 (2018) - 2017
- [j20]Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah:
Formal solutions of completely integrable Pfaffian systems with normal crossings. J. Symb. Comput. 81: 41-68 (2017) - [j19]Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde:
A contour integral approach to the computation of invariant pairs. Theor. Comput. Sci. 681: 3-26 (2017) - 2016
- [j18]Moulay A. Barkatou, Thomas Cluzeau, Alexey Ovchinnikov, Georg Regensburger, Markus Rosenkranz:
Special issue on computational aspects of differential/difference algebra and integral operators. Adv. Appl. Math. 72: 1-3 (2016) - [c26]Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, Lucia Di Vizio:
Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System. ISSAC 2016: 63-70 - 2015
- [j17]Moulay A. Barkatou:
A direct algorithm for computing k-simple forms of first-order linear differential systems. ACM Commun. Comput. Algebra 49(1): 23 (2015) - [j16]Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov:
On full rank differential systems with power series coefficients. J. Symb. Comput. 68: 120-137 (2015) - [c25]Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha:
A New Approach for Computing Regular Solutions of Linear Difference Systems. CASC 2015: 72-86 - [c24]Moulay A. Barkatou, Thomas Cluzeau, Achref Jalouli:
Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients. ISSAC 2015: 45-52 - [c23]Moulay A. Barkatou, Suzy S. Maddah:
Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients. ISSAC 2015: 53-60 - [i1]Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah:
Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings. CoRR abs/1511.00180 (2015) - 2014
- [j15]Sergei A. Abramov, Moulay A. Barkatou:
On Solution Spaces of Products of Linear Differential or Difference Operators. ACM Commun. Comput. Algebra 48(3/4): 155-165 (2014) - [c22]Sergei A. Abramov, Moulay A. Barkatou:
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. CASC 2014: 1-12 - [c21]Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas:
Formal solutions of a class of Pfaffian systems in two variables. ISSAC 2014: 312-319 - [c20]Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas:
On the reduction of singularly-perturbed linear differential systems. ISSAC 2014: 320-327 - [c19]Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde:
Some ideas for the computation of matrix solvents. SNC 2014: 19-20 - [e1]Moulay A. Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz:
Algebraic and Algorithmic Aspects of Differential and Integral Operators - 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers. Lecture Notes in Computer Science 8372, Springer 2014, ISBN 978-3-642-54478-1 [contents] - 2013
- [j14]Moulay A. Barkatou, Carole El Bacha, George Labahn, Eckhard Pflügel:
On simultaneous row and column reduction of higher-order linear differential systems. J. Symb. Comput. 49: 45-64 (2013) - [j13]Moulay A. Barkatou, Carole El Bacha:
On k-simple forms of first-order linear differential systems and their computation. J. Symb. Comput. 54: 36-58 (2013) - [c18]Sergei A. Abramov, Moulay A. Barkatou:
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. CASC 2013: 1-9 - 2012
- [j12]Moulay A. Barkatou, Eckhard Pflügel, Flavia Stan:
ISOLDE: a maple package for systems of linear functional equations. ACM Commun. Comput. Algebra 46(3/4): 157-159 (2012) - [c17]Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha, Jacques-Arthur Weil:
Computing closed form solutions of integrable connections. ISSAC 2012: 43-50 - [c16]Moulay A. Barkatou, Clemens G. Raab:
Solving linear ordinary differential systems in hyperexponential extensions. ISSAC 2012: 51-58 - 2011
- [j11]Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha:
Simple forms of higher-order linear differential systems and their applications in computing regular solutions. J. Symb. Comput. 46(6): 633-658 (2011) - [j10]Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek:
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. J. Symb. Comput. 46(11): 1205-1228 (2011) - [c15]Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel:
Higher-Order Linear Differential Systems with Truncated Coefficients. CASC 2011: 10-24 - [c14]Ainhoa Aparicio-Monforte, Moulay A. Barkatou, Sergi Simon, Jacques-Arthur Weil:
Formal first integrals along solutions of differential systems I. ISSAC 2011: 19-26 - 2010
- [j9]Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel:
A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations. Math. Comput. Sci. 4(2-3): 267-288 (2010) - [c13]Moulay A. Barkatou:
Symbolic methods for solving systems of linear ordinary differential equations. ISSAC 2010: 7-8 - [c12]Moulay A. Barkatou, Carole El Bacha, Eckhard Pflügel:
Simultaneously row- and column-reduced higher-order linear differential systems. ISSAC 2010: 45-52
2000 – 2009
- 2009
- [j8]Sergei A. Abramov, Moulay A. Barkatou:
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. J. Symb. Comput. 44(1): 48-59 (2009) - [j7]Moulay A. Barkatou, Eckhard Pflügel:
On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity. J. Symb. Comput. 44(8): 1017-1036 (2009) - [c11]Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov:
On m-Interlacing Solutions of Linear Difference Equations. CASC 2009: 1-17 - [c10]Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha:
Algorithms for regular solutions of higher-order linear differential systems. ISSAC 2009: 7-14 - 2008
- [c9]Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel:
Regular systems of linear functional equations and applications. ISSAC 2008: 15-22 - 2007
- [c8]Moulay A. Barkatou, Eckhard Pflügel:
Computing super-irreducible forms of systems of linear differential equations via moser-reduction: a new approach. ISSAC 2007: 1-8 - 2006
- [j6]Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij:
Apparent singularities of linear difference equations with polynomial coefficients. Appl. Algebra Eng. Commun. Comput. 17(2): 117-133 (2006) - [c7]Nicolas Le Roux, Moulay A. Barkatou:
Rank reduction of a class of pfaffian systems in two variables. ISSAC 2006: 204-211
1990 – 1999
- 1999
- [j5]Moulay A. Barkatou:
On Rational Solutions of Systems of Linear Differential Equations. J. Symb. Comput. 28(4-5): 547-567 (1999) - [j4]Moulay A. Barkatou, Eckhard Pflügel:
An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations. J. Symb. Comput. 28(4-5): 569-587 (1999) - [c6]Moulay A. Barkatou:
Rational Solutions of Matrix Difference Equations: The Problem of Equivalence and Factorization. ISSAC 1999: 277-282 - 1998
- [c5]Sergei A. Abramov, Moulay A. Barkatou:
Rational Solutions of First Order Linear Difference Systems. ISSAC 1998: 124-131 - [c4]Moulay A. Barkatou, Eckhard Pflügel:
On the Equivalence Problem of Linear Differential Systems and Its Application for Factoring Completely Reducible Systems. ISSAC 1998: 268-275 - 1996
- [j3]Moulay A. Barkatou:
An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. Appl. Algebra Eng. Commun. Comput. 8(1): 1-23 (1996) - 1995
- [c3]Moulay A. Barkatou:
A Rational Version of Moser's Algorithm. ISSAC 1995: 297-302 - 1993
- [j2]Moulay A. Barkatou:
An Algorithm for Computing a Companion Block Dianonal Form for a System of Linear Differential Equations. Appl. Algebra Eng. Commun. Comput. 4: 185-195 (1993) - 1991
- [j1]Moulay A. Barkatou:
Characterization of regular singular linear systems of difference equations. Numer. Algorithms 1(2): 139-154 (1991)
1980 – 1989
- 1989
- [b1]My Abdelfattah Barkatou:
Contribution à l'étude des équations différentielles et aux différences dans le champ complexe. (Contributions to the study of linear differential equations and difference equations in the complex domain). Grenoble Institute of Technology, France, 1989 - [c2]Moulay A. Barkatou:
On the Reduction of Linear Systems of Difference Equations. ISSAC 1989: 1-6 - 1988
- [c1]Moulay A. Barkatou:
Rational Newton Algorithm for Computing Formal Solutions of Linear Differential Equations. ISSAC 1988: 183-195
Coauthor Index
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