3 papers
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…
math-ph2024
A Mathematical Aspect of Bloch's Theorem
Yan Li, Bin Yang, Aihui Zhou
In this paper, by studying a class of 1-D Sturm-Liouville problems with periodic coefficients, we show and classify the solutions of periodic Schrodinger equations in a multidimens…