4 papers
Quasiperiodic Elliptic Operators: Projection Method and Convergence Analysis
Kai Jiang, Jiaqi Tang, Qilong Zhai +1
Quasiperiodic elliptic operators (QEOs) serve as fundamental models in both mathematics and physics, as exemplified by their role in the numerical modeling of one-dimensional photo…
Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems
Kai Jiang, Xueyang Li, Yao Ma +3
In this paper, we propose a new algorithm, the irrational-window-filter projection method (IWFPM), for quasiperiodic systems with concentrated spectral point distribution. Based on…
Accurately recover global quasiperiodic systems by finite points
Kai Jiang, Qi Zhou, Pingwen Zhang
Quasiperiodic systems, related to irrational numbers, are space-filling structures without decay nor translation invariance. How to accurately recover these systems, especially for…
Multitask kernel-learning parameter prediction method for solving time-dependent linear systems
Kai Jiang, Juan Zhang, Qi Zhou
Matrix splitting iteration methods play a vital role in solving large sparse linear systems. Their performance heavily depends on the splitting parameters, however, the approach of…