15 citations · 21 across the 8 of their papers we have counts for
8 papers
Inverse problems for nonlinear progressive waves
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We propose and study several inverse problems associated with the nonlinear progressive waves that arise in infrasonic inversions. The nonlinear progressive equation (NPE) is of a…
Determining a stationary mean field game system from full/partial boundary measurement
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
In this paper, we propose and study the utilization of the Dirichlet-to-Neumann (DN) map to uniquely identify the discount functions and cost function in a stationary me…
Lipschitz stability for determination of states and inverse source problem for the mean field game equations
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
In a bounded domain over time interval , we consider mean field game equations whose principal coefficients depend on the time and state variables wi…
On inverse problems for several coupled PDE systems arising in mathematical biology
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
In this paper, we propose and study several inverse problems of identifying/determining unknown coefficients for a class of coupled PDE systems by measuring the average flux data o…
Determining a parabolic system by boundary observation of its non-negative solutions with biological applications
Hongyu Liu, Catharine W. K. Lo
In this paper, we consider the inverse problem of determining some coefficients within a coupled nonlinear parabolic system, through boundary observation of its non-negative soluti…
Lipschitz stability for determination of states and inverse source problem for the mean field game equations
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
We consider solutions satisfying the zero Neumann boundary condition and a linearized mean field game equation in whose principal coefficients depend on the time an…
Symmetric-adjoint and symplectic-adjoint methods and their applications
Geng Sun, Siqing Gan, Hongyu Liu +1
Symmetric method and symplectic method are classical notions in the theory of Runge-Kutta methods. They can generate numerical flows that respectively preserve the symmetry and sym…
Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators
Xiaohua Ding, Hongyu Liu, Zaijiu Shang +2
Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for…