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 ...

SIAM Journal on Numerical Analysis, Vol. 36, No. 1 (Nov., 1998 - Jan., 1999), pp. 251-274 (24 pages) This paper is concerned with the derivation of a priori and a ...

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 ...