Yajuan Sun

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No Runge-Kutta method can be energy preserving for all Hamiltonian systems. But for problems in which the Hamiltonian is a polynomial, the Averaged Vector Field (AVF) method can be interpreted as a Runge-Kutta method whose weights bi and abscissae ci represent a quadrature rule of degree at least that of the Hamiltonian. We prove that when the number of(More)
In a recent series of papers, the class of energy-conserving Runge-Kutta methods named Hamiltonian BVMs (HBVMs) has been defined and studied. Such methods have been further generalized for the efficient solution of general conservative problems, thus providing the class of Line Integral Methods (LIMs). In this paper we derive a further extension, which we(More)
— Bisimulation relation as a well known equivalence relation has been successfully applied to computer science and control theory. In our previous work, we proposed the existence of bisimilarity supervisor by introducing simulation-based controllability. As a continuation, this paper deals with the computation for the supremal simulation-based controllable(More)
Water-soluble pure hexagonal-phase NaYF 4 :Yb 3+ ,Er 3+ /Tm 3+ nanoparticles were obtained by an ionothermal method for the first time which offers a new alternative in synthesizing such materials. Rare-earth ions doped luminescence upconversion nano-particles have attracted much attention in recent years owing to their superior spectroscopic properties,(More)