Floating-point arithmetic is a cornerstone of modern computational science, providing an efficient means to approximate real numbers within a finite precision framework. Its ubiquity across scientific ...

This chapter deals with the most encountered errors in numerical analysis, that is, enter data errors, approximation errors, round-off errors, and propagation of errors. Propagation of errors during ...

1 School of Mathematical Science, Zhejiang University, Hangzhou, China 2 CAEP Software Center for High Performance Numerical Simulation, Chengdu, China Introduction: Predictive processing posits that ...

Abstract: In the field of discharge research for electrical equipment, the microscopic mechanisms of streamer discharge are difficult to obtain through experiments. Numerical simulations, however, ...

Data collected for the production of structural business statistics consist of a large number of numerical variables, with many mathematical relations between them. These relations are specified in ...

In scientific computations, it is crucial to understand the sources of errors and their impact on the results. This project focuses on two types of errors: Truncation ...