AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannian submanifold
Symplectic Runge-Kutta schemes for the integration of general Hamiltonian systems are implicit. In p...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
We construct generating functions for symplectic maps on products of 2-spheres and use them to const...
AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannia...
In this paper, we first give the geodesic in closed form on the real symplectic group endowed with a...
This is a short tract on the essentials of differential and symplectic geometry together with a basi...
We revive the elementary idea of constructing symplectic integrators for Hamiltonian flows on manifo...
The symplectic structure implicit in systems of Hamilton's equations is of great theoretical, and in...
In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one n...
We revive the elementary idea of constructing symplectic integrators for Hamiltonian flows on manifo...
In this paper numerical methods for solving linear Hamiltonian systems are proposed. These schemes a...
There exist several standard numerical methods for integrating ordinary differential equations. Howe...
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise a...
We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's...
We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's...
Symplectic Runge-Kutta schemes for the integration of general Hamiltonian systems are implicit. In p...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
We construct generating functions for symplectic maps on products of 2-spheres and use them to const...
AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannia...
In this paper, we first give the geodesic in closed form on the real symplectic group endowed with a...
This is a short tract on the essentials of differential and symplectic geometry together with a basi...
We revive the elementary idea of constructing symplectic integrators for Hamiltonian flows on manifo...
The symplectic structure implicit in systems of Hamilton's equations is of great theoretical, and in...
In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one n...
We revive the elementary idea of constructing symplectic integrators for Hamiltonian flows on manifo...
In this paper numerical methods for solving linear Hamiltonian systems are proposed. These schemes a...
There exist several standard numerical methods for integrating ordinary differential equations. Howe...
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise a...
We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's...
We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's...
Symplectic Runge-Kutta schemes for the integration of general Hamiltonian systems are implicit. In p...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
We construct generating functions for symplectic maps on products of 2-spheres and use them to const...
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