Voici une liste de mes publications et prépublications :
REVUES À COMITÉ DE LECTURE :
- Barkatou, M. A., Cluzeau, T., El Bacha, C., Simple forms of higher-order linear differential systems and their applications in
computing regular solutions (.pdf),
Journal of Symbolic Computation (JSC), 46(6), 633-658, 2011.
- Cluzeau, T., Hubert, É., Probabilistic algorithms for computing resolvent representation of regular differential ideals (.pdf),
Applicable Algebra in Engineering, Communication and Computing (AAECC), 19(5), 365-392, 2008.
- Cluzeau, T., Keller, J., Schneeweiss, W., An efficient algorithm for computing the reliability of consecutive-k-out-of-n:F systems (.pdf),
IEEE Transactions on Reliability, 57(1): 84-87, March 2008.
- Cluzeau, T., Quadrat, A., Factoring and decomposing a class of linear functional systems (.pdf),
Linear Algebra and its Applications (LAA), 428(1): 324-381, 2008.
- Cluzeau, T., van Hoeij, M., Computing hypergeometric solutions of linear difference equations (.pdf),
Applicable Algebra in Engineering, Communication and Computing (AAECC), 17(2), 83-115, 2006.
- Cluzeau, T., van Hoeij, M., A modular algorithm for computing
the exponential solutions of a linear differential operator (.pdf),
Journal of Symbolic Computation (JSC), 38(3): 1043-1076, 2004.
- Cluzeau, T., Hubert, É., Resolvent representation for regular differential ideals (.pdf),
Applicable Algebra in Engineering, Communication and Computing (AAECC), 13(5): 395-425, 2003.
CHAPITRES DANS DES OUVRAGES :
- Cluzeau, T., Quadrat, A., OreMorphisms: A homological algebraic package for factoring, reducing and decomposing linear functional systems (.pdf),
Topics in
Time-Delay Systems: Analysis, Algorithms and Control, J.-J. Loiseau, W.
Michiels, S.-I. Niculescu, R. Sipahi, Lecture Notes in Control and
Information Sciences (LNCIS), Springer, 179-195, Août 2009.
- Cluzeau, T., Quadrat, A., On algebraic simplifications of linear functional systems (.pdf),
Topics in Time-Delay Systems: Analysis, Algorithms and Control, J.-J.
Loiseau, W. Michiels, S.-I. Niculescu, R. Sipahi, Lecture Notes in
Control and Information Sciences (LNCIS), Springer, 167-178, Août 2009.
- Barkatou, M. A., Cluzeau, T., Weil, J.-A., Factoring partial
differential systems in positive characteristic (.pdf),
Differential
Equations and Symbolic Computations (DESC) Book, Éditor D. Wang,
Birkhäuser, 2005.
PROCEEDINGS À COMITÉ DE LECTURE (conférences majeures) :
- Barkatou, M. A., Cluzeau, T., El Bacha, C., Weil, J.-A., Computing Closed-Form Solutions of Integrable Connections (.pdf),
To appear in the Proceedings of the International Symposium on Symbolic and Algebraic Computations (ISSAC), july 22-25, Grenoble, France, 2012.
- Barkatou, M. A., Cluzeau, T., El Bacha, C., Algorithms for regular solutions of higher-order linear differential systems (.pdf),
Proceedings of the International Symposium on Symbolic and Algebraic Computations (ISSAC), july 28-31, Seoul, Republic of Korea, 7-14, 2009.
- Bostan, A., Chyzak, F., Cluzeau, T.,
Salvy, B., Low complexity algorithms for linear recurrences (.pdf),
Proceedings of the International Symposium on Symbolic and Algebraic
Computations (ISSAC), july 9-12, Genova, Italy, 31-38, 2006.
- Bostan, A., Cluzeau, T., Salvy, B., Fast algorithms for polynomial solutions of linear differential equations (.pdf),
Proceedings
of the International Symposium on Symbolic and Algebraic Computations
(ISSAC), july 24-27, Beijing, China, 45-52, 2005.
- Cluzeau, T., Factorization of differential systems in characteristic p (.pdf),
Proceedings of the International Symposium on Symbolic and Algebraic
Computations (ISSAC), august 3-6, Philadelphia, Pennsylvania, 58-65,
2003.
COMMUNICATIONS À DES CONGRÈS (avec actes ou comité de lecture) :
- Cluzeau, T., Quadrat, A., A constructive version of Fitting's theorem on isomorphisms and equivalences of linear systems (.pdf),
Proceedings of the 7th international Workshop on Multidimensional (nD) Systems (nDS'11), Poitiers (France), 05-07/09/2011.
- Chakhar, A., Cluzeau, T., Quadrat, A., An algebraic analysis approach to certain classes of nonlinear systems of partial differential equations (.pdf),
Proceedings of the 7th international Workshop on Multidimensional (nD) Systems (nDS'11), Poitiers (France), 05-07/09/2011.
- Barkatou, M. A., Cluzeau, T., El Bacha, C., Quadrat, A., Monge parametrizations and integration of rectangular linear differential systems (.pdf),
Effective Methods in Algebraic Geometry (MEGA) 2011, Stockholm (Sweden), 30/05-4/06/2011.
- Cluzeau, T., Dolean, V., Nataf, F., Quadrat, A., Symbolic techniques for domain decomposition methods (.pdf),
Proceedings of the 20th international conference on Domain Decomposition methods (DD20), San Diego, California (USA), 07-11/02/2011.
- Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential systems based on holonomy (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), 5-9/07/2010.
- Cluzeau, T., Quadrat, A., Module structure of classical multidimensional systems appearing in mathematical physics (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), 5-9/07/2010.
- Cluzeau, T., Quadrat, A., Symmetries, parametrizations and potentials of multidimensional linear systems (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), 5-9/07/2010.
- Barkatou, M. A., Cluzeau, T., El Bacha, C., Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), 5-9/07/2010.
- Cluzeau, T., Quadrat, A., Using constructive homological algebra for decomposing and reducing linear functional systems, (.pdf)
Mathematisches Forschungsinstitut Oberwolfach, Mini-Workshop: Formal
Methods in Commutative Algebra: A View Toward Constructive Homological
Algebra, Report No. 50/2009.
- Jaafar, M., Aupetit-Berthelemot, C., Cluzeau, T., Teyssier, J.-P., Improved mathematical model for the investigation of deep traps
into semicondictor devices : application to Metamorphic HEMT (.pdf),
74th ARFTG Microwave
Measurement Symposium, System Modeling and Measurement for High
Accuracy Verification, December 1st to 4th,
2009, Broomfield/Boulder,
CO.
- Cluzeau, T., Quadrat, A., Using morphism computations for
factoring and decomposing general linear functional systems (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2006,
Kyoto (Japon), 24-28/07/2006.
RAPPORTS DE RECHERCHE :
- Cluzeau, T., Dolean, V., Nataf, F., Quadrat, A., Symbolic methods for developing new domain decomposition algorithms (.pdf),
Rapport de Recherche INRIA (RR-7953), 2012.
- Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential systems with holonomic adjoints (.pdf),
Rapport de Recherche INRIA (RR-7486), 2010.
- Cluzeau, T., Quadrat, A., Using morphism computations for factoring and decomposing general linear functional systems (.pdf),
Rapport de Recherche INRIA (RR-5942), 2006.
- Cluzeau, T., Hubert, É., Resolvent representation for regular differential ideals (.pdf),
Rapport de Recherche INRIA (RR-4200), 2001.
THÈSE :
- Cluzeau, T., Algorithmique modulaire des équations différentielles linéaires (.pdf),
Thèse de l'Université de Limoges soutenue le 23 septembre 2004.
SOUMIS OU EN PRÉPARATION :
- Bostan, A., Chèze, G., Cluzeau, T., Weil, J.-A., An efficient algorithm for computing rational first integrals of polynomial vector fields,
In preparation.