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math.NA2026
A Regularization Based Computational Method for Quantum Incommensurate Problems
Zhenan Ding, Yan Li, Aihui Zhou +1
Quantum incommensurate systems have attracted widespread interest due to their unique physical properties. Related studies have made notable progress in recent years. To gain deepe…
math.NA2025
Convergence of the adaptive finite element discretization based parallel orbital-updating method for eigenvalue problems
Xiaoying Dai, Yan Li, Bin Yang +1
It is significant and challenging to solve eigenvalue problems of partial differential operators when many highly accurate eigenpair approximations are required. The adaptive finit…
math.NA2024
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems
Xiaoying Dai, Yan Li, Bin Yang +1
The parallel orbital-updating approach is an orbital/eigenfunction iteration based approach for solving eigenvalue problems when many eigenpairs are required. It has been proven to…