8 papers
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…
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…
An extended framework of continuous-stage Runge-Kutta methods
Wensheng Tang
We propose an extended framework for continuous-stage Runge-Kutta methods which enables us to treat more complicated cases especially for the case weighting on infinite intervals.…
Symplectic integration with Jacobi polynomials
Wensheng Tang
In this paper, we study symplectic integration of canonical Hamiltonian systems with Jacobi polynomials. The relevant theoretical results of continuous-stage Runge-Kutta methods ar…