18 citations · 19 across the 6 of their papers we have counts for
6 papers
A high-order implicit time integration method for linear and nonlinear dynamics with efficient computation of accelerations
Daniel O'Shea, Xiaoran Zhang, Shayan Mohammadian +1
An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient…
Critical conditions of nonlinearities in the John problem
Chengbo Wang, Xiaoran Zhang
In this paper, we determine the sharp criteria for the nonlinearities in the John problem so that the problem admits global solutions for small i…
The Critical Conjecture of Wave Equations with Logarithmic Nonlinearity on
Xiaoran Zhang
In this paper, we verified the critical conjecture in our previous work \cite{wang2023wave} on two-dimensional hyperbolic space, that is, concerning nonlinear wave equations with l…
Wave equations with logarithmic nonlinearity on hyperbolic spaces
Chengbo Wang, Xiaoran Zhang
In light of the exponential decay of solutions of linear wave equations on hyperbolic spaces , to illustrate the critical nature, we investigate nonlinear wave equati…
High-order implicit time integration scheme with controllable numerical dissipation based on mixed-order Padé expansions
Chongmin Song, Xiaoran Zhang, Sascha Eisenträger +1
A single-step high-order implicit time integration scheme with controllable numerical dissipation at high frequencies is presented for the transient analysis of structural dynamic…
An alternative proof of Tataru's dispersive estimates
Chengbo Wang, Xiaoran Zhang
The aim of this article is to give an alternative proof of Tataru's dispersive estimates for wave equations posed on the hyperbolic space. Based on the formula for the wave kernel…