Florent Bréhard
19
Documents
Publications
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Fast and reliable computation of the instantaneous orbital collision probability2023
Preprints, Working Papers, ...
hal-04134188v1
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Efficient and Validated Numerical Evaluation of Abelian Integrals2022
Preprints, Working Papers, ...
hal-03561096v1
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A Symbolic-Numeric Validation Algorithm for Linear ODEs with Newton-Picard Method2020
Preprints, Working Papers, ...
hal-03161151v1
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A New Lower Bound on the Hilbert Number for Quartic Systems2019
Preprints, Working Papers, ...
hal-02085895v1
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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⟩
Conference papers
hal-04138791v1
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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⟩
Conference papers
hal-03158347v1
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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
Conference papers
hal-02006645v1
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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⟩
Conference papers
hal-02088529v2
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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
Conference papers
hal-02006606v1
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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⟩
Conference papers
hal-01654396v2
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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⟩
Conference papers
hal-01540170v3
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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
Conference papers
hal-01830253v1
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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⟩
Conference papers
hal-01275427v1
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A Symbolic-Numeric Validation Algorithm for Linear ODEs with Newton-Picard MethodMathematics in Computer Science, In press
Journal articles
hal-03161118v1
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Comments on "Series for Collision Probability in Short-Encounter Model"Journal of Guidance, Control, and Dynamics, 2020, 43 (5), ⟨10.2514/1.G004560⟩
Journal articles
hal-02123054v1
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Validated and numerically efficient Chebyshev spectral methods for linear ordinary differential equationsACM Transactions on Mathematical Software, 2018, 44 (4), pp.44:1-44:42. ⟨10.1145/3208103⟩
Journal articles
hal-01526272v3
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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⟩
Theses
tel-02337901v1
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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
Reports
hal-02444341v1
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Global Probability of Collision: Problem modeling via occupation measuresDAJ/AR/EO-2016-6457, LAAS / CNRS; CNES. 2019
Reports
hal-02077552v1
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