1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

The IMEX schemes apply the implicit temporal method to only a small portion of the domain and use explicit calculations elsewhere, based on a convenient splitting algorithm. IMEX methods effectively ...

The aim of this paper is to carry out convergence analysis and algorithm implementation of a novel sample-wise backpropagation method for training a class of stochastic neural networks (SNNs). The ...

This repository contains information and code to reproduce the results presented in the article Using a recent characterization of energy-preserving B-series, we derive the explicit conditions on the ...

This repository contains a collection of Python scripts and Jupyter notebooks for practicing numerical methods commonly used in scientific computing and engineering applications. The exercises cover a ...

1 Institute of Cognitive Science and Assessment, Research Unit Education, Culture, Cognition and Society, Faculty of Language and Literature, Humanities, Arts and Education, University of Luxembourg, ...

The fractional diffusion equations can accurately describe the migration process of anomalous diffusion, which are widely applied in the field of natural science and engineering calculations. This ...

Abstract: To ensure numerical stability, the Courant-Friedrichs-Lewy (CFL) condition has to be imposed in an explicit time-domain numerical method. It limits the time step and therefore computational ...