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math.NA2025
MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation
Shubin Fu, Qing Huo Liu, Qiwei Zhan +2
In this article, we present a new preconditioner, MatExPre, for the high-frequency Helmholtz equation by leveraging the properties of matrix exponentials. Our approach begins by re…
math.NA2021
Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders
Zihang Zhang, Qiwei Zhan, Zhennan Zhou
In this paper, we investigate fast algorithms in the small fraction order regime to approximate the Caputo derivative when is small. We focus on two fast algori…