Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Makazaga, Joseba"'
We present an algorithm based on continuation techniques that can be applied to solve numerically minimization problems with equality constraints. We focus on problems with a great number of local minima which are hard to obtain by local minimization
Externí odkaz:
http://arxiv.org/abs/1909.07263
We propose a family of integrators, Flow-Composed Implicit Runge-Kutta (FCIRK) methods, for perturbations of nonlinear ordinary differential equations, consisting of the composition of flows of the unperturbed part alternated with one step of an impl
Externí odkaz:
http://arxiv.org/abs/1711.06050
We are concerned with the efficient implementation of symplectic implicit Runge-Kutta (IRK) methods applied to systems of (non-necessarily Hamiltonian) ordinary differential equations by means of Newton-like iterations. We pay particular attention to
Externí odkaz:
http://arxiv.org/abs/1703.07697
We propose an implementation of symplectic implicit Runge-Kutta schemes for highly accurate numerical integration of non-stiff Hamiltonian systems based on fixed point iteration. Provided that the computations are done in a given floating point arith
Externí odkaz:
http://arxiv.org/abs/1702.03354
Autor:
Farrés, Ariadna, Laskar, Jacques, Blanes, Sergio, Casas, Fernando, Makazaga, Joseba, Murua, Ander
Using a Newtonian model of the Solar System with all 8 planets, we perform extensive tests on various symplectic integrators of high orders, searching for the best splitting scheme for long term studies in the Solar System. These comparisons are made
Externí odkaz:
http://arxiv.org/abs/1208.0716
Autor:
Blanes, Sergio, Casas, Fernando, Farres, Ariadna, Laskar, Jacques, Makazaga, Joseba, Murua, Ander
Publikováno v:
Appl. Numer. Math. 68 (2013), 58-72
We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large time span. We derive in a sy
Externí odkaz:
http://arxiv.org/abs/1208.0689
We present an algorithm based on continuation techniques that can be applied to solve numerically minimization problems with equality constraints. We focus on problems with a great number of local minima which are hard to obtain by local minimization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a048b6547b34c970f9ddc5ab10fbb2e
https://doi.org/10.2172/6461744
https://doi.org/10.2172/6461744
Akademický článek
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Publikováno v:
SIAM Journal on Applied Dynamical Systems; 2020, Vol. 19 Issue 4, p2658-2681, 24p
Akademický článek
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