Symplectic integrator

Known as: Symplectic algorithm, Symplectic integrater, Symplectic integration 
In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1982-2017
010203019822017

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2007
2007
The novel multidomain pseudospectral time domain method based on a symplectic integrator scheme is presented in this paper. A… (More)
  • figure 1
  • figure 2
  • figure 4
  • figure 3
  • figure 5
Is this relevant?
Highly Cited
2002
Highly Cited
2002
  • 2002
For Hamiltonian systems of the form H= T(p) + V(q) a method is shown to construct explicit and time reversible symplectic… (More)
  • table 1
  • table 2
Is this relevant?
Highly Cited
1999
Highly Cited
1999
Mixed-variable symplectic integrators exhibit no long-term accumulation of energy error , beyond that due to roundoo, and they… (More)
Is this relevant?
1996
1996
The connguration spaces of mechanical systems usually support Riemannian metrics which have a explicitly solvable geodesic ows… (More)
Is this relevant?
1996
1996
Recent work reported in the literature suggest that for the long-term integration of Hamil-tonian dynamical systems one should… (More)
Is this relevant?
Highly Cited
1996
Highly Cited
1996
Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods… (More)
Is this relevant?
1995
1995
  • Peter Nettesheim
  • 1995
This paper presents an explicit and symplectic integrator called PICK-ABACK for quantum-classical molecular dynamics. This… (More)
Is this relevant?
1994
1994
The numerical integration of a wide class of Hamiltonian partial diierential equations by standard symplectic schemes is… (More)
Is this relevant?
1991
1991
The dynamics of two rigid bodies coupled by an ideal spherically symmetric joint is studied. Except for preliminary material… (More)
Is this relevant?
Highly Cited
1989
Highly Cited
1989
In this paper we present an explicit fourth-order method for the integration of Hamilton’s Equations. This method preserves the… (More)
Is this relevant?