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TITLE: A continuous characterization of PSPACE using polynomial ordinary differential equations
AUTHORS: Bournez, Olivier; Gozzi, Riccardo; Graca, Daniel S.; Pouly, Amaury;
PUBLISHED: 2023, SOURCE: JOURNAL OF COMPLEXITY, VOLUME: 77
INDEXED IN: Scopus WOS
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TITLE: Polynomial Time Corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length  Full Text
AUTHORS: Olivier Bournez; Daniel S Graca; Amaury Pouly;
PUBLISHED: 2017, SOURCE: JOURNAL OF THE ACM, VOLUME: 64, ISSUE: 6
INDEXED IN: WOS
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TITLE: On the functions generated by the general purpose analog computer  Full Text
AUTHORS: Olivier Bournez; Daniel Graca; Amaury Pouly;
PUBLISHED: 2017, SOURCE: INFORMATION AND COMPUTATION, VOLUME: 257
INDEXED IN: WOS
4
TITLE: Rigorous numerical computation of polynomial differential equations over unbounded domains
AUTHORS: Bournez, O; Graça, DS; Pouly, A;
PUBLISHED: 2016, SOURCE: 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015 in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), VOLUME: 9582
INDEXED IN: Scopus CrossRef
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TITLE: Computing with polynomial ordinary differential equations  Full Text
AUTHORS: Olivier Bournez; Daniel Graca; Amaury Pouly;
PUBLISHED: 2016, SOURCE: JOURNAL OF COMPLEXITY, VOLUME: 36
INDEXED IN: WOS CrossRef
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TITLE: Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length: The general purpose analog computer and computable analysis are two efficiently equivalent models of computations
AUTHORS: Bournez, O; Graca, DS; Pouly, A;
PUBLISHED: 2016, SOURCE: 43rd International Colloquium on Automata, Languages, and Programming, ICALP 2016 in Leibniz International Proceedings in Informatics, LIPIcs, VOLUME: 55
INDEXED IN: Scopus
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TITLE: Computation with perturbed dynamical systems  Full Text
AUTHORS: Olivier Bournez; Daniel S Graca ; Emmanuel Hainry;
PUBLISHED: 2013, SOURCE: JOURNAL OF COMPUTER AND SYSTEM SCIENCES, VOLUME: 79, ISSUE: 5
INDEXED IN: Scopus WOS CrossRef
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TITLE: Computability and computational complexity of the evolution of nonlinear dynamical systems
AUTHORS: Bournez, O; Graca, DS ; Pouly, A; Zhong, N;
PUBLISHED: 2013, SOURCE: 9th Conference on Computability in Europe - The Nature of Computation: Logic, Algorithms, Applications, CiE 2013 in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), VOLUME: 7921 LNCS
INDEXED IN: Scopus CrossRef
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TITLE: Turing machines can be efficiently simulated by the general purpose analog computer
AUTHORS: Bournez, O; Graca, DS; Pouly, A;
PUBLISHED: 2013, SOURCE: 10th International Conference on Theory and Applications of Models of Computation, TAMC 2013 in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), VOLUME: 7876 LNCS
INDEXED IN: Scopus CrossRef
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TITLE: On the complexity of solving initial value problems
AUTHORS: Bournez, O; Graca, DS ; Pouly, A;
PUBLISHED: 2012, SOURCE: 37th International Symposium on Symbolic and Algebraic Computation, ISSAC 2012 in Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
INDEXED IN: Scopus CrossRef
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