Florent Bréhard
Chargé de recherche epst
Laboratoire / équipe
Publications
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"title_s":["Rounding Error Analysis of an Orbital Collision Probability Evaluation Algorithm"],
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"title_s":["Efficient and Validated Numerical Evaluation of Abelian Integrals"],
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"citationFull_s":"Florent Bréhard, Adrien Poteaux, Léo Soudant. Validated Root Enclosures for Interval Polynomials with Multiplicities. <i>ISSAC'23 : International Symposium on Symbolic and Algebraic Computation 2023</i>, Jul 2023, Tromso, Norway. <a target=\"_blank\" href=\"https://dx.doi.org/10.1145/3597066.3597122\">⟨10.1145/3597066.3597122⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04138791v1\">⟨hal-04138791⟩</a>",
"title_s":["Validated Root Enclosures for Interval Polynomials with Multiplicities"],
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"title_s":["Fast and reliable computation of the instantaneous orbital collision probability"],
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"citationFull_s":"Denis Arzelier, Florent Bréhard, Mioara Joldeş, Jean-Bernard Lasserre, Sohie Laurens, et al.. Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters. <i>60th IEEE Conference on Decision and Control (CDC 2021)</i>, IEEE, Dec 2021, Austin, Texas, United States. <a target=\"_blank\" href=\"https://dx.doi.org/10.1109/CDC45484.2021.9683445\">⟨10.1109/CDC45484.2021.9683445⟩</a>. <a target=\"_blank\" href=\"https://laas.hal.science/hal-03158347v1\">⟨hal-03158347⟩</a>",
"title_s":["Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters"],
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"citationFull_s":"Florent Bréhard. A Symbolic-Numeric Validation Algorithm for Linear ODEs with Newton-Picard Method. <i>Mathematics in Computer Science</i>, In press. <a target=\"_blank\" href=\"https://hal.science/hal-03161118v1\">⟨hal-03161118⟩</a>",
"title_s":["A Symbolic-Numeric Validation Algorithm for Linear ODEs with Newton-Picard Method"],
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"citationFull_s":"Denis Arzelier, Florent Bréhard, Mioara Joldes. Comments on \"Series for Collision Probability in Short-Encounter Model\". <i>Journal of Guidance, Control, and Dynamics</i>, 2020, 43 (5), <a target=\"_blank\" href=\"https://dx.doi.org/10.2514/1.G004560\">⟨10.2514/1.G004560⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02123054v1\">⟨hal-02123054⟩</a>",
"title_s":["Comments on \"Series for Collision Probability in Short-Encounter Model"],
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"title_s":["Rigorous derivation of Coppola's formula for the computation of the probability of collision between space objects"],
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"citationRef_s":"Numerical Analysis [cs.NA]. Université de Lyon, 2019. English. <a target=\"_blank\" href=\"https://www.theses.fr/2019LYSEN032\">⟨NNT : 2019LYSEN032⟩</a>",
"citationFull_s":"Florent Bréhard. Calcul numérique certifié dans les espaces fonctionnels : Un trilogue entre approximations polynomiales rigoureuses, calcul symbolique et preuve formelle. Numerical Analysis [cs.NA]. Université de Lyon, 2019. English. <a target=\"_blank\" href=\"https://www.theses.fr/2019LYSEN032\">⟨NNT : 2019LYSEN032⟩</a>. <a target=\"_blank\" href=\"https://theses.hal.science/tel-02337901v1\">⟨tel-02337901⟩</a>",
"title_s":["Calcul numérique certifié dans les espaces fonctionnels : Un trilogue entre approximations polynomiales rigoureuses, calcul symbolique et preuve formelle","Certified numerics in function spaces : polynomial approximations meet computer algebra and formal proof"],
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"title_s":["Exchange algorithm for evaluation and approximation error-optimized polynomials"],
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"citationFull_s":"Florent Bréhard, Nicolas Brisebarre, Mioara Joldes, Warwick Tucker. A New Lower Bound on the Hilbert Number for Quartic Systems. 2019. <a target=\"_blank\" href=\"https://laas.hal.science/hal-02085895v1\">⟨hal-02085895⟩</a>",
"title_s":["A New Lower Bound on the Hilbert Number for Quartic Systems"],
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"citationFull_s":"Romain Serra, Denis Arzelier, Florent Bréhard, Mioara Joldes. Fuel-optimal impulsive fixed-time trajectories in the linearized circular restricted 3-body-problem. <i>IAC 2018 - 69th International Astronautical Congress; IAF Astrodynamics Symposium</i>, International Astronautical Federation, Oct 2018, Bremen, Germany. pp.1-9. <a target=\"_blank\" href=\"https://hal.science/hal-01830253v1\">⟨hal-01830253⟩</a>",
"title_s":["Fuel-optimal impulsive fixed-time trajectories in the linearized circular restricted 3-body-problem"],
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"citationFull_s":"Florent Bréhard, Nicolas Brisebarre, Mioara Joldes. Validated and numerically efficient Chebyshev spectral methods for linear ordinary differential equations. <i>ACM Transactions on Mathematical Software</i>, 2018, 44 (4), pp.44:1-44:42. <a target=\"_blank\" href=\"https://dx.doi.org/10.1145/3208103\">⟨10.1145/3208103⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01526272v3\">⟨hal-01526272v3⟩</a>",
"title_s":["Validated and numerically efficient Chebyshev spectral methods for linear ordinary differential equations"],
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"citationFull_s":"Florent Bréhard. A Newton-like Validation Method for Chebyshev Approximate Solutions of Linear Ordinary Differential Systems. <i>ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation</i>, Jul 2018, New York, United States. pp.103-110, <a target=\"_blank\" href=\"https://dx.doi.org/10.1145/3208976.3209000\">⟨10.1145/3208976.3209000⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01654396v2\">⟨hal-01654396v2⟩</a>",
"title_s":["A Newton-like Validation Method for Chebyshev Approximate Solutions of Linear Ordinary Differential Systems"],
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"citationFull_s":"Paulo Ricardo Arantes Gilz, Florent Bréhard, Clément Gazzino. Validated Semi-Analytical Transition Matrices for Linearized Relative Spacecraft Dynamics via Chebyshev Series Approximations. <i>SCITECH 2018 - AIAA Science and Technology Forum and Exposition, 28th Space Flight Mechanics Meeting</i>, Jan 2018, Kissimmee, United States. pp.1-23, <a target=\"_blank\" href=\"https://dx.doi.org/10.2514/6.2018-1960\">⟨10.2514/6.2018-1960⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01540170v3\">⟨hal-01540170v3⟩</a>",
"title_s":["Validated Semi-Analytical Transition Matrices for Linearized Relative Spacecraft Dynamics via Chebyshev Series Approximations"],
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"citationFull_s":"Denis Arzelier, Florent Bréhard, Norbert Deak, Mioara Joldes, Christophe Louembet, et al.. Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach. <i>20th IFAC Symposium on Automatic Control in Aerospace</i>, Aug 2016, Sherbrooke, Canada. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.ifacol.2016.09.064\">⟨10.1016/j.ifacol.2016.09.064⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01275427v1\">⟨hal-01275427⟩</a>",
"title_s":["Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach"],
"authFullName_s":["Denis Arzelier","Florent Bréhard","Norbert Deak","Mioara Joldes","Christophe Louembet","Aude Rondepierre","Romain Serra"],
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