MOULAY A. BARKATOU
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2018
- Barkatou, M. A., Cluzeau, T., El Bacha, C., On the computation of
simple forms and regular solutions of linear difference systems.
Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistices (2018), volume 226, pages 19-49, C. Schneider; E. Zima (Eds.)
- S. Abramov, M. Barkatou : On Strongly Non-Singular Polynomial Matrices,
Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistices (2018), volume 226, pages 1-17, C. Schneider; E. Zima (Eds.)
- M. Barkatou, M. Jaroschek: Desingularization of First Order
Linear Difference Systems with Rational Function Coefficients,to appear in the proceedings of ISSAC'18.
- M. Barkatou, J. Saade, J.A. Weil: A new approach for
formal reduction of singular linear differential systems using
eigenrings, to appear in the proceedings of ISSAC'18.
- M. Barkatou : On the Newton polygon of a
Moser-irreducible differential system to appear in the post-proceedings
of of the conference FASDiff17. Volume "Formal and Analytic Solutions
of diff. Equations" in Springer Proceedings in Mathematics &
Statistics.
2017
- 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)
- Moulay A. Barkatou, Paola Boito, E. Sehura Uglade, ``A contour integral approach to the computation of invariant pairs"
Theor. Comput. Sci. 681: 3-26 (2017)
- M. Barkatou et G. Renat : Smallness of the formal exponents of an irregular differential system with an application to solvability by quadratures, Computer Algebra International Conference Moscow 2017 UDC 517.927.7 pages : 11-16
2016
- Barkatou, M. A., Thomas Cluzeau, Di Vizio, L., Weil, J.-A., Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System,
Accepted for the International Symposium on Symbolic and Algebraic Computations (ISSAC) 2016 (.pdf).
- Barkatou, Moulay; Cluzeau, Thomas; Ovchinnikov, Alexey; Regensburger, Georg; Rosenkranz, Markus; Special issue on computational aspects of differential/difference algebra and integral operators. Adv. in Appl. Math. 72 (2016)
2015
- S. Abramov, M. Barkatou, and D. Khmelnov. On Full Rank Differential Systems with Power Series Coefficients, Journal of Symbolic Computation (2015) : Volume 68, Part 1, pp 120-137
- Barkatou, M. A., Thomas Cluzeau, El Bacha, C., A New Approach for Computing Regular Solutions of Linear Difference Systems (.pdf),
Lecture Notes in Computer Science 9301 (Proceedings of Computer Algebra in Scientific Computing (CASC) 2015, september 14-18, Aachen, Germany), 72-86, 2015.
- M.A. Barkatou, S.S. Maddah (2015). Removing Apparent
Singularities of Systems of Linear Differential Equations with
Rational Function Coefficients. In Proceedings of the 40th International Symposium on Symbolic and Algebraic Computation, ACM Press, p. 53-60.
- Barkatou, M. A., Thomas Cluzeau, Jalouli, A., Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients (.pdf),
Proceedings of the International Symposium on Symbolic and Algebraic Computations (ISSAC'2015), july 6-9, Bath, UK, 45-52, 2015.
2014
- Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas : Formal solutions of a class Pfaffian systems in two variables. ISSAC 2014: 312-319
- Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas : On the reduction of singularly perturbed linear differential systems. ISSAC 2014: 320-327
- Suzy S. Maddah,
M. A. Barkatou, and H. Abbas: On the Reduction of Singularly-Perturbed Linear
Differential Systems. Proceedings of the
International Symposium on Symbolic and Algebraic Computations (ISSAC),
July 21-25, Kobe, Japan. A preliminary
version is available at: arXiv:1401.5438
- Suzy S. Maddah, M. A. Barkatou, and H. Abbas: Formal Solutions
of a Class of Pfaffian Systems in Two Variables. Proceedings of the International Symposium on Symbolic
and Algebraic Computations (ISSAC'2014), July 21-25, Kobe, Japan.A
preliminary version is available at: arXiv:1401.5439 .
- Sergei Abramov and Moulay Barkatou: Computable infinite
power series in role of coefficients of linear differential
systems. LNCS 8660, CASC 2014: 1-12
- S. Abramov and M. A. Barkatou: On
Solution Spaces of
Products of Linear Differential or Difference Operators. ACM
Communications in Computer Algebra, Vol. 48, No. 4, Issue 190, December
2014, pp.155-165.
- Moulay A. Barkatou, Paola Boito, and E. Segura Ugalde: Some ideas for the computation of matrix solvents. SNC 2014: 19-20.
- Moulay A. Barkatou, Thomas Cluzeau, Georg Regensburger,
Markus Rosenkranz (Eds.): 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 .
2013
- 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)
- 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)
- Sergei A. Abramov, Moulay A. Barkatou: On the Dimension of
Solution Spaces of Full Rank Linear Differential Systems. CASC 2013: 1-9
- Sergei
A. Abramov, D. E. Khmelnov, Moulay A. Barkatou: On the width of full
rank linear differential systems with power series coefficients. MMCP
2013, Dubna: 22-23.
- Moulay A. Barkatou, Thomas Cluzeau,
Carole El Bacha,
Jacques-Arthur Weil: Computing Closed-Form Solutions of Integrable
Connections. Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 22-25, Grenoble, France, 2012.
ISSAC 2012: 43-50
- Moulay A. Barkatou, Clemens G. Raab:
Solving Linear Ordinary Differential Systems in Hyperexponential
Extensions. Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 22-25, Grenoble, France, 2012.
ISSAC 2012: 51-58
- M. Barkatou, M. El kahoui. Locally nilpotent derivations
with a PID ring of constants. Proc. Amer. Math. Soc. 140 (2012), no. 1,
119–128.
- 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)
- M. Barkatou, T. Cluzeau, C. El Bacha, A. Quadrat: Monge
parametrizations and integration of rectangular linear differential
systems, Effective Methods in Algebraic Geometry (MEGA) 2011, Stockholm
(Sweden).
- 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)
- Sergei
A. Abramov, Moulay A. Barkatou, Eckhard Pflügel: Higher-Order Linear
Differential Systems with Truncated Coefficients. CASC 2011:10-24
- Ainhoa Aparicio-Monforte, Moulay A. Barkatou, Sergi Simon, Jacques-Arthur Weil: Formal first integrals along solutions of differential systems I. Proceedings of the International Symposium on Symbolic and Algebraic Computations (ISSAC), June 8–11, 2011, San Jose, California, USA. ISSAC 2011:19-26
- Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel: A
Monomial-by-Monomial Method for Computing Regular Solutions of Systems
of Pseudo-Linear Equations. Mathematics in Computer Science 4(2-3):
267-288 (2010)
- Moulay A. Barkatou: Symbolic methods for solving systems of linear ordinary differential equations. Tutorial at the International
Symposium on Symbolic and Algebraic Computations (ISSAC), July 25-28,
Munich, Germany. ISSAC 2010: 7-8
- Moulay A. Barkatou, Carole El Bacha, Eckhard Pflügel: M. Barkatou, C. El Bacha, E. Pfluegel: Simultaneously Row- and Column-Reduced Higher-Order Linear Differential Systems. Proceedings of the 35th International Symposium on Symbolic and Algebraic Computations (ISSAC), July 25-28, Munich, Germany, pages 45-52, ISSAC 2010.
2000-1988