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math.NA2026
Projection-Based Parareal for Nonlinear Initial-Value Problems
Chenyi Tan, Yuncheng Xu, Yehao Zhang +1
Parareal is a parallel-in-time method for initial-value problems that has found extensive applications and given rise to many variants. Krylov-enhanced parareal is a variant of par…
math.NA2026
A Fourier-Aware Projection-Based Periodic Parareal Method for Time-Periodic Problems
Chenyi Tan, Yuncheng Xu, Yehao Zhang +1
Time-periodic problems arise when the desired solution is a periodic steady state rather than a transient trajectory. The periodic parareal algorithm with a periodic coarse problem…
math.NA2025
Multistep Methods for Floquet Multipliers and Subspaces
Yehao Zhang, Yuncheng Xu, Chenyi Tan +1
Accurate and efficient computation of Floquet multipliers and subspaces is essential for analyzing limit cycles in dynamical systems and periodic steady states in radio frequency c…