Browsing Departament: Matemàtiques by Keyword "symplectic integrators"
Now showing items 1-4 of 4
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High precision Symplectic Integrators for the Solar System
Springer Netherlands (2013-02)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. ... -
Numerical Integrators for the Hybrid Monte Carlo Method
Society for Industrial and Applied Mathematics (2014-05)We construct numerical integrators for Hamiltonian problems that may advantageously replace the standard Verlet time-stepper within Hybrid Monte Carlo and related simulations. Past attempts have often aimed at boosting the ... -
On symmetric-conjugate composition methods in the numerical integration of differential equations
American Mathematical Society (2021)We analyze composition methods with complex coefficients exhibiting the so-called “symmetry-conjugate” pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative ... -
Symplectic integrators for second-order linear non-autonomous equations
Elsevier (2018-03)Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise they ...