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pro vyhledávání: '"Julien, Alexandre"'
We focus on interval algorithms for computing guaranteed enclosures of the solutions of constrained global optimization problems where differential constraints occur. To solve such a problem of global optimization with nonlinear ordinary differential
Externí odkaz:
http://arxiv.org/abs/1910.10424
There exist many Runge-Kutta methods (explicit or implicit), more or less adapted to specific problems. Some of them have interesting properties, such as stability for stiff problems or symplectic capability for problems with energy conservation. Def
Externí odkaz:
http://arxiv.org/abs/1804.04847
Autor:
Gscheidle, Christian, Biswas, János, Ivanov, Dmitri, Fernandes, Domingos, Calzada-Diaz, Abigale, Lamamy, Julien-Alexandre, Tattusch, Tim, Bergemann, Christiane
Publikováno v:
In Planetary and Space Science March 2022 212
We present an algorithm of control synthesis for nonlinear switched systems, based on an existing procedure of state-space bisection and made available for nonlinear systems with the help of validated simulation. The use of validated simulation also
Externí odkaz:
http://arxiv.org/abs/1611.06692
Autor:
Julien, Alexandre
Tableau d'honneur de la FÉSP
Externí odkaz:
http://www.theses.ulaval.ca/2011/28712/28712.pdf
Science teaching in secondary schools is often abstract for students. Even if some experiments can be conducted in classrooms, mainly for chemistry or some physics fields, mathematics is not an experimental science. Teachers have to convince students
Externí odkaz:
http://arxiv.org/abs/1309.4550
Akademický článek
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Publikováno v:
Mathematics, Vol 10, Iss 17, p 3165 (2022)
B-series were defined to unify the formalism of solutions for ordinary differential equations defined by series. Runge–Kutta schemes can be seen as truncated B-series, similar to Taylor series. In the prolific domain of reachability analysis, i.e.,
Externí odkaz:
https://doaj.org/article/03941beeb3a94d08a067692a616a6a79