5 papers
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…
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…
FlexRC: A Flexible Multi-Point Model Order Reduction Method for Many-Port RC Networks
Yuncheng Xu, Siyuan Yin, Lin Liu +4
Efficient model order reduction for many-port resistor-capacitor (RC) networks is essential in post-layout circuit simulation. Existing high-accuracy elimination-based methods have…
SMP-RCR: A Sparse Multipoint Moment Matching Method for RC Reduction
Siyuan Yin, Yuncheng Xu, Lin Liu +4
In post--layout circuit simulation, efficient model order reduction (MOR) for many--port resistor--capacitor (RC) circuits remains a crucial issue. The current mainstream MOR metho…
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…