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math.NA2024
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…
math.AP2024
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…