Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...

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 ...

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 ...

Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to ...

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, ...

Abstract: The capacitance of a single conductor or a set of parallel plates is used to illustrate systematic procedures for estimating the accuracy of simple numerical solutions arising from integral ...

This problem is caused by the numeric error that origins from the LookupTransform function. Changing the std::cout precision to 20 is possible to see that the actual ...

Numerical methods are the backbone of modern engineering and science. They provide computational techniques to approximate solutions for mathematical problems that are too complex, time-consuming, or ...

Transversal homoclinic orbits of maps are known to generate shift dynamics on a set with Cantor-like structure. In this paper a numerical method is developed for ...