9 citations · 42 across the 14 of their papers we have counts for
10 papers · 1 filter
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…
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…
A note on continuous-stage Runge-Kutta methods
Wensheng Tang
We provide a note on continuous-stage Runge-Kutta methods (csRK) for solving initial value problems of first-order ordinary differential equations. Such methods, as an interesting…
Chebyshev symplectic methods based on continuous-stage Runge-Kutta methods
Wensheng Tang
We develop Chebyshev symplectic methods based on Chebyshev orthogonal polynomials of the first and second kind separately in this paper. Such type of symplectic methods can be conv…
Continuous-stage Runge-Kutta methods based on weighted orthogonal polynomials
Wensheng Tang
We develop continuous-stage Runge-Kutta methods based on weighted orthogonal polynomials in this paper. There are two main highlighted merits for developing such methods: Firstly,…