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math.NA2023
Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
We prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful instrument in finding saddle points and…
math.NT2023
On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions
Kai Jiang, Shifeng Li, Pingwen Zhang
We present an analysis of the approximation error for a -dimensional quasiperiodic function with Diophantine frequencies, approximated by a periodic function with the fundam…