This article discusses the energy conservation of a wide class of numerical integrators applied to Hamiltonian systems. It surveys known material by various illustrations, and it also contains more recent and new results
We consider the issue of energy conservation in the numerical solution of Hamiltonian systems couple...
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for...
For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is ...
Modulated Fourier expansion is used to show long-time near-conservation of the total and oscillatory...
In long-time numerical integration of Hamiltonian systems, and especially in molecular dynamics simu...
In long-time numerical integration of Hamiltonian systems, and especially in molecular dynamics simu...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is ...
Energy conservation of numerical integrators is well understood for symplectic one-step methods. Thi...
In this note we suggest a new approach to ensure energy conservation in time-continuous finite eleme...
Recently, a whole class of evergy-preserving integrators has been derived for the numerical solution...
In this paper we show that energy conserving methods, in particular those in the class of Hamiltonia...
Recently, a new family of integrators (Hamiltonian Boundary Value Methods) has been introduced, whi...
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for...
We consider the issue of energy conservation in the numerical solution of Hamiltonian systems couple...
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for...
For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is ...
Modulated Fourier expansion is used to show long-time near-conservation of the total and oscillatory...
In long-time numerical integration of Hamiltonian systems, and especially in molecular dynamics simu...
In long-time numerical integration of Hamiltonian systems, and especially in molecular dynamics simu...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
The long-time near-conservation of the total and oscillatory energies of numerical integrators for H...
For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is ...
Energy conservation of numerical integrators is well understood for symplectic one-step methods. Thi...
In this note we suggest a new approach to ensure energy conservation in time-continuous finite eleme...
Recently, a whole class of evergy-preserving integrators has been derived for the numerical solution...
In this paper we show that energy conserving methods, in particular those in the class of Hamiltonia...
Recently, a new family of integrators (Hamiltonian Boundary Value Methods) has been introduced, whi...
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for...
We consider the issue of energy conservation in the numerical solution of Hamiltonian systems couple...
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for...
For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is ...
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