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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.NA2022★ 18 cited
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…