Add to ORKGAbstract—We show how the standard (Störmer-Verlet) split-ting method for differential equations of Hamiltonian mechanics (with accuracy of order τ2 for a timestep of length τ) can be improved in a systematic manner without using the composition method. We give the explicit expressions which increase the accuracy to order τ8, and demonstrate that the method work on a simple anharmonic oscillator
The Schrödinger eigenvalue problem is solved with the imaginary time propagation technique. The sepa...
This thesis concentrates on two main areas. Traditional numerical methods for ordinary differential ...
Most physical phenomena are described by time-dependent Hamiltonian systems with qualitative featur...
International audienceWe consider the Vlasov-Poisson equation in a Hamiltonian framework and derive ...
We consider the Vlasov–Poisson equation in a Hamiltonian framework and derive new time splitting me...
Abstract. We establish a rate of convergence for a semidiscrete operator splitting method applied to...
Abstract: Symplectic integration methods based on operator splitting are well established in many br...
In this paper we consider splitting methods for nonlinear ordinary differential equations in which o...
Abstract. — A new splitting is proposed for solving the Vlasov–Maxwell system. This splitting is bas...
AbstractIn this paper we consider splitting methods for nonlinear ordinary differential equations in...
This paper focuses on the solution of separable Hamiltonian systems using explicit symplectic integr...
Several symplectic splitting methods of orders four and six are presented for the step-by-step time ...
We present a practical algorithm based on symplectic splitting methods intended for the numerical in...
We present a practical algorithm based on symplectic splitting methods intended for the numerical i...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(1997/11) / BLDSC - British ...
The Schrödinger eigenvalue problem is solved with the imaginary time propagation technique. The sepa...
This thesis concentrates on two main areas. Traditional numerical methods for ordinary differential ...
Most physical phenomena are described by time-dependent Hamiltonian systems with qualitative featur...
International audienceWe consider the Vlasov-Poisson equation in a Hamiltonian framework and derive ...
We consider the Vlasov–Poisson equation in a Hamiltonian framework and derive new time splitting me...
Abstract. We establish a rate of convergence for a semidiscrete operator splitting method applied to...
Abstract: Symplectic integration methods based on operator splitting are well established in many br...
In this paper we consider splitting methods for nonlinear ordinary differential equations in which o...
Abstract. — A new splitting is proposed for solving the Vlasov–Maxwell system. This splitting is bas...
AbstractIn this paper we consider splitting methods for nonlinear ordinary differential equations in...
This paper focuses on the solution of separable Hamiltonian systems using explicit symplectic integr...
Several symplectic splitting methods of orders four and six are presented for the step-by-step time ...
We present a practical algorithm based on symplectic splitting methods intended for the numerical in...
We present a practical algorithm based on symplectic splitting methods intended for the numerical i...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(1997/11) / BLDSC - British ...
The Schrödinger eigenvalue problem is solved with the imaginary time propagation technique. The sepa...
This thesis concentrates on two main areas. Traditional numerical methods for ordinary differential ...
Most physical phenomena are described by time-dependent Hamiltonian systems with qualitative featur...