12 papers
Symmetric integrators based on continuous-stage Runge-Kutta-Nystrom methods for reversible systems
Wensheng Tang, Jingjing Zhang
In this paper, we study symmetric integrators for solving second-order ordinary differential equations on the basis of the notion of continuous-stage Runge-Kutta-Nystrom methods. T…
Two types of variational integrators and their equivalence
Wensheng Tang
In this paper, we introduce two types of variational integrators, one originating from the discrete Hamilton's principle while the other from Galerkin variational approach. It turn…
Energy-preserving integration of non-canonical Hamiltonian systems by continuous-stage methods
Wensheng Tang
As is well known, energy is generally deemed as one of the most important physical invariants in many conservative problems and hence it is of remarkable interest to consider numer…
Energy-preserving continuous-stage Runge-Kutta-Nyström methods
Wensheng Tang
Many practical problems can be described by second-order system , in which people give special emphasis to some invariants with explicit physical meaning, s…
Energy-preserving continuous-stage partitioned Runge-Kutta methods
Wensheng Tang
In this paper, we present continuous-stage partitioned Runge-Kutta (csPRK) methods for energy-preserving integration of Hamiltonian systems. A sufficient condition for the energy p…
Continuous-stage Runge-Kutta-NystrÖm methods
Wensheng Tang
We develop continuous-stage Runge-Kutta-NystrÖm (csRKN) methods in this paper. By leading weight function into the formalism of csRKN methods and modifying the original pattern of…