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math.CA2025
The continuity of Beurling density and Beurling dimension of spectra of a class of self-affine spectral measures
Zi-Yun Chen, Zhi-Yi Wu, Min-Min Zhang
It is well-known that the Beurling dimension of the spectra of certain singularly continuous spectral measures possesses an intermediate property. In this paper, we establish that…
math.NA2025
A Dilation-based Seamless Multiscale Method For Elliptic Problems
Ziheng Chen, Björn Engquist
Many numerical methods for multiscale differential equations require a scale separation between the larger and the smaller scales to achieve accuracy and computational efficiency.…
math.NA2025
Strong and weak convergence orders of numerical methods for SDEs driven by time-changed Lévy noise
Ziheng Chen, Jiao Liu, Anxin Wu
This work investigates the strong and weak convergence orders of numerical methods for SDEs driven by time-changed Lévy noise under the globally Lipschitz conditions. Based on the…