Parallel computing for differential equations has emerged as a critical field in computational science, enabling the efficient simulation of complex physical systems governed by ordinary and partial ...

In this paper we investigate how parallel-in-time methods and adaptivity can be combined, and in particular, how it affects tolerance proportionality. Different grid refinement strategies are compared ...

Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science ...

In recent years, the capabilities of Large Language Models (LLMs) have advanced at an unprecedented rate. This progress has been largely attributed to the scaling of model parameters, training data, ...

Abstract: This paper proposes a fast-parallel method for singular value thresholding, aimed at low-rank analysis of many small matrices. In low-rank analysis, the problem of regularizing the nuclear ...

Abstract: The parallel arc fault is one of the most important causes of electrical fire. However, there is no effective detection method for parallel arc fault. To solve this problem, a fault feature ...

Mohr’s circle is a convenient geometric method to solve two-dimensional stress and strain problems in geotechnical engineering and materials engineering. The pole point is such a special point that ...