5 papers
Study on dynamic model of multi-particle spring system
Xiao-Yun Wang, Jiyuan Zhang
Generally, multi-particle spring system is an important and widely used physical model. However, with the increase of the number of particles, the difficulty of solving the kinemat…
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases
Qifeng Zhang, Jiyuan Zhang, Zhi-zhong Sun
This is the second part of study on the optimal convergence rate of the explicit Euler discretization in time for the convection-diffusion equations [Appl. Math. Lett. \textbf{131}…
Co-rank 1 projections and the randomised Horn problem
Peter J. Forrester, Jiyuan Zhang
Let be a normalised standard complex Gaussian vector, and project an Hermitian matrix onto the hyperplane orthogonal to . In a recent…
Parametrising correlation matrices
P. J. Forrester, Jiyuan Zhang
Correlation matrices are the sub-class of positive definite real matrices with all entries on the diagonal equal to unity. Earlier work has exhibited a parametrisation of the corre…
Lyapunov exponents for some isotropic random matrix ensembles
P. J. Forrester, Jiyuan Zhang
A random matrix with rows distributed as a function of their length is said to be isotropic. When these distributions are Gaussian, beta type I, or beta type II, previous work has,…