Extrapolation of symplectic integrators

DOI10.1023/A:1008364504014zbMath0962.65101MaRDI QIDQ1573556

N. Delaunay

Publication date: 28 February 2001

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

initial value problemsHamiltonian systemssymplectic integratorsextrapolation technique

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Duality quantum computer and the efficient quantum simulations ⋮ Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ On symmetric-conjugate composition methods in the numerical integration of differential equations ⋮ Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs ⋮ Novel parallel in time integrators for ODEs ⋮ Product formulas for exponentials of commutators ⋮ High order integrators obtained by linear combinations of symmetric-conjugate compositions ⋮ Multi-product splitting and Runge-Kutta-Nyström integrators ⋮ High order numerical integrators for differential equations using composition and processing of low order methods ⋮ Raising the order of geometric numerical integrators by composition and extrapolation ⋮ On the construction of symmetric second order methods for ODEs ⋮ Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations.

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