In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass ofâ€¦Â (More)

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2007

2007

- Yan Ling Shi, Changhong Liang
- IEEE Transactions on Antennas and Propagation
- 2007

The novel multidomain pseudospectral time domain method based on a symplectic integrator scheme is presented in this paper. Aâ€¦Â (More)

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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 symplecticâ€¦Â (More)

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1999

Highly Cited

1999

- John E. Chambers
- 1999

Mixed-variable symplectic integrators exhibit no long-term accumulation of energy error , beyond that due to roundoo, and theyâ€¦Â (More)

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1996

1996

The connguration spaces of mechanical systems usually support Riemannian metrics which have a explicitly solvable geodesic owsâ€¦Â (More)

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1996

1996

- Sebastian Reich
- 1996

Recent work reported in the literature suggest that for the long-term integration of Hamil-tonian dynamical systems one shouldâ€¦Â (More)

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1996

Highly Cited

1996

- Sebastian Reich
- 1996

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methodsâ€¦Â (More)

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1995

1995

- Peter Nettesheim
- 1995

This paper presents an explicit and symplectic integrator called PICK-ABACK for quantum-classical molecular dynamics. Thisâ€¦Â (More)

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1994

1994

The numerical integration of a wide class of Hamiltonian partial diierential equations by standard symplectic schemes isâ€¦Â (More)

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1991

1991

- Jerrold E. Marsden, Roberta D. Patrick
- 1991

The dynamics of two rigid bodies coupled by an ideal spherically symmetric joint is studied. Except for preliminary materialâ€¦Â (More)

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1989

Highly Cited

1989

- Ronald D. Ruth
- 1989

In this paper we present an explicit fourth-order method for the integration of Hamiltonâ€™s Equations. This method preserves theâ€¦Â (More)

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