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Symplectic integrator

Known as: Symplectic integrater, Symplectic, Symplectic integration 
In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of… Expand
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Highly Cited
2004
Highly Cited
2004
The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its… Expand
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Highly Cited
2002
Highly Cited
2002
Preface * 1. Symplectic Manifolds * 2. Principal S1-bundles * 3. Contact Manifolds * 4. Associated Metrics * 5. Integral… Expand
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Highly Cited
2000
Highly Cited
2000
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten… Expand
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Highly Cited
1999
Highly Cited
1999
Mixed-variable symplectic integrators exhibit no long-term accumulation of energy error, beyond that owing to round-off, and they… Expand
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Highly Cited
1992
Highly Cited
1992
These are lecture notes for two courses, taught at the University of Toronto in Spring 1998 and in Fall 2000. Our main sources… Expand
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Highly Cited
1990
Highly Cited
1990
Abstract For Hamiltonian systems of the form H = T ( p )+ V ( q ) a method is shown to construct explicit and time reversible… Expand
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Highly Cited
1990
Highly Cited
1990
Abstract In this paper we present an explicit fourth-order method for the integration of Hamilton's equations. This method… Expand
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Highly Cited
1985
Highly Cited
1985
Definitions. A parametrized (pseudo holomorphic) J-curve in an almost complex manifold (IS, J) is a holomorphic map of a Riemann… Expand
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Highly Cited
1984
Highly Cited
1984
Preface 1. Introduction 2. The geometry of the moment map 3. Motion in a Yang-Mills field and the principle of general covariance… Expand
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Highly Cited
1984
Highly Cited
1984
These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric… Expand
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