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 ...
Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
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 computation of the corresponding ...
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