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 ...

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 ...

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 ...