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Numerical integrators for Lagrangian oceanography [PDF]
Geoscientific Model Development, 2020 A common task in Lagrangian oceanography is to calculate a large number of drifter trajectories from a velocity field precalculated with an ocean model. Mathematically, this is simply numerical integration of an ordinary differential equation (ODE), for ...
T. Nordam, T. Nordam, R. Duran, R. Duran
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MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS [PDF]
Forum of Mathematics, Sigma, 2016 This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate or the collision of two elastic bodies.
FRANÇOIS DEMOURES +2 more
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Some robust integrators for large time dynamics
Advanced Modeling and Simulation in Engineering Sciences, 2019 This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented.
Dina Razafindralandy +3 more
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Numerical Integrators for the Hybrid Monte Carlo Method [PDF]
SIAM Journal of Scientific Computing, 2014 We construct numerical integrators for Hamiltonian problems that may advantageously replace the standard Verlet time-stepper within Hybrid Monte Carlo and related simulations.
Sérgio Blanes +2 more
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Numerical Analysis for a Class of Variational Integrators
MathematicsIn this paper, we study a geometric framework for second-order differential systems arising in classical and relativistic mechanics. For this class of systems, we derive necessary and sufficient conditions for their Lagrangian description.
Yihan Shen, Yajuan Sun
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B-stability of numerical integrators on Riemannian manifolds
Journal of Computational DynamicsWe propose a generalization of nonlinear stability of numerical one-step integrators to Riemannian manifolds in the spirit of Butcher's notion of B-stability.
Elena Celledoni, Brynjulf Owren
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The Astronomical Journal, 2023 Reliable studies of the long-term dynamics of planetary systems require numerical integrators that are accurate and fast. The challenge is often formidable because the chaotic nature of many systems requires relative numerical error bounds at or close to
Richard E. Zeebe
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Numerical contour integration for loop integrals [PDF]
Computer Physics Communications, 2006 A fully numerical method to calculate loop integrals, a numerical contour-integration method, is proposed. Loop integrals can be interpreted as a contour integral in a complex plane for an integrand with multi-poles in the plane. Stable and efficient numerical integrations an along appropriate contour can be performed for tensor integrals as well as ...
Yoshimi Kurihara, Toyohisa Kaneko
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Mathematics, 2022 The resilient strategy of logistics service supply chains with government participation is not only an effective measure for manufacturers and integrators to lower the risks but also an important component of the modern risk management capability of ...
Guangsheng Zhang +3 more
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Physical Review Accelerators and Beams, 2022 The Hamiltonian describing particle motion in an accelerator belongs to a large class of systems, the members of which can be integrated with a new set of high order symplectic integrators.
K. Skoufaris +3 more
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