Add to ORKGFor the numerical treatment of Hamiltonian differential equations, symplectic integra-tors are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterises linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The bounded-ness of parasitic solution components is not addressed
Symplectic methods for Hamiltonian systems are known to have favourable pro-per-ties concerning long...
AbstractIn this paper the numerical integration of integrable Hamiltonian systems is considered. Sym...
This thesis consists of three parts. Part I: Theoretical study on conjugate symplecticity of B-serie...
For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the mo...
The long-time integration of Hamiltonian differential equations requires special numerical methods. ...
In this note we consider the use of Euler-Maclaurin methods for the solution of canonical Hamiltonia...
Multi-derivative one-step methods based upon Euler–Maclaurin integration formulae are considered for...
This note proves that the underlying one-step method of a G-symplectic general linear method is conj...
Conjugate symplecticity up to order p 2 of p-th one-step multi-derivative methods based on an extens...
It is the purpose of this talk to analyze the employ of General Linear Methods (GLMs) for the numeri...
This talk is devoted to the analysis of multi-value methods for the numerical integration of Hamilto...
This talk investigates the canonical properties of general linear methods for long time integration ...
This paper investigates the conservative behaviour of two-step Runge-Kutta (TSRK) methods and multis...
Symplectic methods for Hamiltonian systems are known to have favourable pro-per-ties concerning long...
AbstractIn this paper the numerical integration of integrable Hamiltonian systems is considered. Sym...
This thesis consists of three parts. Part I: Theoretical study on conjugate symplecticity of B-serie...
For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the mo...
The long-time integration of Hamiltonian differential equations requires special numerical methods. ...
In this note we consider the use of Euler-Maclaurin methods for the solution of canonical Hamiltonia...
Multi-derivative one-step methods based upon Euler–Maclaurin integration formulae are considered for...
This note proves that the underlying one-step method of a G-symplectic general linear method is conj...
Conjugate symplecticity up to order p 2 of p-th one-step multi-derivative methods based on an extens...
It is the purpose of this talk to analyze the employ of General Linear Methods (GLMs) for the numeri...
This talk is devoted to the analysis of multi-value methods for the numerical integration of Hamilto...
This talk investigates the canonical properties of general linear methods for long time integration ...
This paper investigates the conservative behaviour of two-step Runge-Kutta (TSRK) methods and multis...
Symplectic methods for Hamiltonian systems are known to have favourable pro-per-ties concerning long...
AbstractIn this paper the numerical integration of integrable Hamiltonian systems is considered. Sym...
This thesis consists of three parts. Part I: Theoretical study on conjugate symplecticity of B-serie...