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Why Spectral Methods are Preferred In PDE Eigenvalue Computations in Some Cases?

Speaker

Zhimin Zhang, Beijing Computational Science Research Center

Time

2018.03.13 14:00-15:00

Venue

601, Pao Yue-Kong Library

Abstract

When approximating PDE eigenvalue problems by numerical methods such as finite difference and finite element, it is common knowledge that only a small portion of numerical eigenvalues are reliable. As a comparison, spectral methods may perform extremely well in some situation, especially for 1-D problems. In addition, we demonstrate that spectral methods can outperform traditional methods and the state-of-the-art method in 2-D problems even with singularities.