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Books and Theses
- 2002
[b1]François Lemaire:
Contribution à l'algorithmique en algèbre différentielle. Lille University of Science and Technology, France, 2002
Journal Articles
- 2024
- [j17]François Lemaire
, Louis Roussel:
Parameter Estimation using Integral Equations. Maple Trans. 4(1) (2024) - 2022
- [j16]François Lemaire, Louis Roussel:
Integral equation modelling and deep learning. ACM Commun. Comput. Algebra 56(2): 51-55 (2022) - 2021
- [j15]Pierre Fortin, Ambroise Fleury, François Lemaire, Michael B. Monagan:
High-performance SIMD modular arithmetic for polynomial evaluation. Concurr. Comput. Pract. Exp. 33(16) (2021) - [j14]François Boulier, François Lemaire, Marc Moreno Maza, Adrien Poteaux:
A Short Contribution to the Theory of Regular Chains. Math. Comput. Sci. 15(2): 177-188 (2021) - 2019
- [j13]François Boulier, François Lemaire, Adrien Poteaux, Marc Moreno Maza:
An equivalence theorem for regular differential chains. J. Symb. Comput. 93: 34-55 (2019) - 2016
- [j12]François Boulier, François Lemaire, Joseph Lallemand, Georg Regensburger, Markus Rosenkranz:
Additive normal forms and integration of differential fractions. J. Symb. Comput. 77: 16-38 (2016) - 2015
- [j11]François Lemaire:
New development and application of integration of differential fractions. ACM Commun. Comput. Algebra 49(1): 26 (2015) - [j10]François Boulier, Maoan Han, François Lemaire, Valery G. Romanovski:
Qualitative investigation of a gene model using computer algebra algorithms. Program. Comput. Softw. 41(2): 105-111 (2015) - 2011
- [j9]Changbo Chen, James H. Davenport, François Lemaire, Marc Moreno Maza, Bican Xia, Rong Xiao, Yuzhen Xie:
Computing the real solutions of polynomial systems with the RegularChains library in Maple. ACM Commun. Comput. Algebra 45(3/4): 166-168 (2011) - [j8]François Lemaire, Marc Moreno Maza, Wei Pan, Yuzhen Xie:
When does <T> equal sat(T)? J. Symb. Comput. 46(12): 1291-1305 (2011) - [j7]François Boulier, Marc Lefranc, François Lemaire, Pierre-Emmanuel Morant:
Model Reduction of Chemical Reaction Systems using Elimination. Math. Comput. Sci. 5(3): 289-301 (2011) - 2010
- [j6]François Boulier, François Lemaire, Marc Moreno Maza:
Computing differential characteristic sets by change of ordering. J. Symb. Comput. 45(1): 124-149 (2010) - [j5]François Boulier, François Lemaire:
A Normal Form Algorithm for Regular Differential Chains. Math. Comput. Sci. 4(2-3): 185-201 (2010) - 2009
- [j4]François Boulier, François Lemaire, Alexandre Sedoglavic, Asli Ürgüplü:
Towards an Automated Reduction Method for Polynomial ODE Models of Biochemical Reaction Systems. Math. Comput. Sci. 2(3): 443-464 (2009) - 2008
- [j3]Changbo Chen, Marc Moreno Maza, François Lemaire, Wei Pan, Liyun Li, Yuzhen Xie:
The ConstructibleSetTools and ParametricSystemTools modules of the RegularChains library in Maple. ACM Commun. Comput. Algebra 42(3): 182-184 (2008) - 2005
- [j2]François Lemaire, Marc Moreno Maza, Yuzhen Xie:
The RegularChains library in MAPLE. SIGSAM Bull. 39(3): 96-97 (2005) - 2003
- [j1]François Lemaire:
An orderly linear PDE system with analytic initial conditions with a non-analytic solution. J. Symb. Comput. 35(5): 487-498 (2003)
Conference and Workshop Papers
- 2024
- [c26]François Boulier, François Lemaire:
On Formal Power Series Solutions of Regular Differential Chains. CASC 2024: 82-99 - [c25]François Lemaire, Louis Roussel:
Contribution to Integral Elimination. CASC 2024: 215-235 - 2021
- [c24]François Lemaire, Adrien Poteaux:
Decoupling Multivariate Fractions. CASC 2021: 209-231 - 2018
- [c23]François Boulier, Hélène Castel, Nathalie Corson, Valentina Lanza, François Lemaire, Adrien Poteaux, Alban Quadrat, Nathalie Verdière:
Symbolic-Numeric Methods for Nonlinear Integro-Differential Modeling. CASC 2018: 82-98 - 2016
- [c22]François Lemaire, Alexandre Temperville:
Computing Sparse Representations of Systems of Rational Fractions. CASC 2016: 349-366 - 2015
- [c21]François Boulier, François Lemaire:
Finding First Integrals Using Normal Forms Modulo Differential Regular Chains. CASC 2015: 101-118 - 2014
- [c20]François Boulier, Anja Korporal, François Lemaire, Wilfrid Perruquetti, Adrien Poteaux, Rosane Ushirobira:
An Algorithm for Converting Nonlinear Differential Equations to Integral Equations with an Application to Parameter Estimation from Noisy Data. CASC 2014: 28-43 - [c19]François Lemaire, Alexandre Temperville:
On Defining and Computing "Good" Conservation Laws. CMSB 2014: 1-19 - 2013
- [c18]François Boulier, François Lemaire, Georg Regensburger, Markus Rosenkranz:
On the integration of differential fractions. ISSAC 2013: 101-108 - 2012
- [c17]Kirill Batmanov, Céline Kuttler, François Lemaire, Cédric Lhoussaine, Cristian Versari:
Symmetry-Based Model Reduction for Approximate Stochastic Analysis. CMSB 2012: 49-68 - 2011
- [c16]François Boulier, François Lemaire, Alexandre Sedoglavic:
On the Regularity Property of Differential Polynomials Modulo Regular Differential Chains. CASC 2011: 61-72 - [c15]François Boulier, François Lemaire, Michel Petitot, Alexandre Sedoglavic:
Chemical Reaction Systems, Computer Algebra and Systems Biology - (Invited Talk). CASC 2011: 73-87 - 2010
- [c14]François Lemaire, Asli Ürgüplü:
MABSys: Modeling and Analysis of Biological Systems. ANB 2010: 57-75 - [c13]Samuel Vidal, Michel Petitot, François Boulier, François Lemaire, Céline Kuttler:
Models of Stochastic Gene Expression and Weyl Algebra. ANB 2010: 76-97 - [c12]Masahiko Nakatsui, Alexandre Sedoglavic, François Lemaire, François Boulier, Asli Ürgüplü, Katsuhisa Horimoto:
A General Procedure for Accurate Parameter Estimation in Dynamic Systems Using New Estimation Errors. ANB 2010: 149-166 - [c11]François Lemaire, Asli Ürgüplü:
A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra. ISSAC 2010: 85-92 - 2009
- [c10]François Boulier, Changbo Chen, François Lemaire, Marc Moreno Maza:
Real Root Isolation of Regular Chains. ASCM 2009: 33-48 - 2008
- [c9]François Boulier, François Lemaire:
Differential Algebra and System Modeling in Cellular Biology. AB 2008: 22-39 - [c8]François Boulier, Marc Lefranc, François Lemaire, Pierre-Emmanuel Morant:
Applying a Rigorous Quasi-Steady State Approximation Method for Proving the Absence of Oscillations in Models of Genetic Circuits. AB 2008: 56-64 - [c7]Changbo Chen, François Lemaire, Liyun Li, Marc Moreno Maza, Wei Pan, Yuzhen Xie:
The ConstructibleSetTools and ParametricSystemTools Modules of the RegularChains Library in Maple. ICCSA Workshops 2008: 342-352 - [c6]François Lemaire, Marc Moreno Maza, Wei Pan, Yuzhen Xie:
When does (T) equal sat(T)? ISSAC 2008: 207-214 - 2007
- [c5]François Boulier, Marc Lefranc, François Lemaire, Pierre-Emmanuel Morant, Asli Ürgüplü:
On Proving the Absence of Oscillations in Models of Genetic Circuits. AB 2007: 66-80 - [c4]Changbo Chen, Oleg Golubitsky, François Lemaire, Marc Moreno Maza, Wei Pan:
Comprehensive Triangular Decomposition. CASC 2007: 73-101 - [c3]Changbo Chen, François Lemaire, Marc Moreno Maza, Wei Pan, Yuzhen Xie:
Efficient Computations of Irredundant Triangular Decompositions with the RegularChains Library. International Conference on Computational Science (2) 2007: 268-271 - 2001
- [c2]François Boulier, François Lemaire, Marc Moreno Maza:
PARDI!. ISSAC 2001: 38-47 - 2000
- [c1]François Boulier, François Lemaire:
Computing canonical representatives of regular differential ideals. ISSAC 2000: 38-47
Informal and Other Publications
- 2020
- [i1]Pierre Fortin, Ambroise Fleury, François Lemaire, Michael B. Monagan:
High performance SIMD modular arithmetic for polynomial evaluation. CoRR abs/2004.11571 (2020)
Coauthor Index
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