9 citations · 42 across the 14 of their papers we have counts for
14 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…
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,…
Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods
Wensheng Tang, Jingjing Zhang
We develop continuous-stage Runge-Kutta-Nyström (csRKN) methods for solving second order ordinary differential equations (ODEs) in this paper. The second order ODEs are commonly en…
High order symplectic integrators based on continuous-stage Runge-Kutta Nystrom methods
Wensheng Tang, Yajuan Sun, Jingjing Zhang
On the basis of the previous work by Tang \& Zhang (Appl. Math. Comput. 323, 2018, p. 204--219), in this paper we present a more effective way to construct high-order symplectic in…
Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage
Wensheng Tang, Guangming Lang, Xuqiong Luo
Hamiltonian systems are one of the most important class of dynamical systems with a geometric structure called symplecticity and the numerical algorithms which can preserve such ge…