Florent Bréhard
Publications
Publications
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Validated Numerical Newton-Puiseux Algorithm2026 |
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Fast and Reliable Evaluation of the Distribution of Quadratic Forms of Gaussian Random Variables2026 |
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Validated numerical Hensel lifting2025 |
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Leveraging high performance with Julia for bias reduction in galaxy observations2025 |
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Validated numerical Hensel lifting2024 |
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A Symbolic-Numeric Validation Algorithm for Linear ODEs with Newton-Picard Method2020 |
A New Lower Bound on the Hilbert Number for Quartic Systems2019 |
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Rounding Error Analysis of an Orbital Collision Probability Evaluation Algorithm31st IEEE International Symposium on Computer Arithmetic, Jun 2024, Malaga, Spain. pp.96-103, ⟨10.1109/ARITH61463.2024.00025⟩ |
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Validated Root Enclosures for Interval Polynomials with MultiplicitiesISSAC'23 : International Symposium on Symbolic and Algebraic Computation 2023, Jul 2023, Tromso, Norway. ⟨10.1145/3597066.3597122⟩ |
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Fast and reliable computation of the instantaneous orbital collision probability2nd International Stardust Conference STARCON2, ESA European Space Research and Technology Centre (ESTEC), Nov 2022, Noordwijk, Netherlands |
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Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters60th IEEE Conference on Decision and Control (CDC 2021), IEEE, Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9683445⟩ |
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A certificate-based approach to formally verified approximationsITP 2019 - Tenth International Conference on Interactive Theorem Proving, Sep 2019, Portland, United States. pp.1-19, ⟨10.4230/LIPIcs.ITP.2019.8⟩ |
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On Moment Problems with Holonomic Functions44th International Symposium on Symbolic and Algebraic Computation (ISSAC 2019), Jul 2019, Pékin, China. pp.66-73 |
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Exchange algorithm for evaluation and approximation error-optimized polynomialsARITH 2019 - 26th IEEE Symposium on Computer Arithmetic, Jun 2019, Kyoto, Japan. pp.1-8 |
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Fuel-optimal impulsive fixed-time trajectories in the linearized circular restricted 3-body-problemIAC 2018 - 69th International Astronautical Congress; IAF Astrodynamics Symposium, International Astronautical Federation, Oct 2018, Bremen, Germany. pp.1-9 |
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Validated Semi-Analytical Transition Matrices for Linearized Relative Spacecraft Dynamics via Chebyshev Series ApproximationsSCITECH 2018 - AIAA Science and Technology Forum and Exposition, 28th Space Flight Mechanics Meeting, Jan 2018, Kissimmee, United States. pp.1-23, ⟨10.2514/6.2018-1960⟩ |
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A Newton-like Validation Method for Chebyshev Approximate Solutions of Linear Ordinary Differential SystemsISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.103-110, ⟨10.1145/3208976.3209000⟩ |
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Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach20th IFAC Symposium on Automatic Control in Aerospace, Aug 2016, Sherbrooke, Canada. ⟨10.1016/j.ifacol.2016.09.064⟩ |
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Rigorous derivation of Coppola's formula for the computation of the probability of collision between space objects[Research Report] Rapport LAAS n° 20008, LAAS-CNRS. 2020 |
Global Probability of Collision: Problem modeling via occupation measuresDAJ/AR/EO-2016-6457, LAAS / CNRS; CNES. 2019 |
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Calcul numérique certifié dans les espaces fonctionnels : Un trilogue entre approximations polynomiales rigoureuses, calcul symbolique et preuve formelleNumerical Analysis [cs.NA]. Université de Lyon, 2019. English. ⟨NNT : 2019LYSEN032⟩ |