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 ...
A numerical error is either of two kinds of error in a calculation. The first (a rounding error) is caused by the finite precision of computations involving floating ...
The purpose of this research is to establish methodologies of designing error-free algorithms for solving various problems in computational engineering. Focus is on the development of efficient ...
David Kincaid and Ward Cheney, Numerical Analysis: Mathematics of Scientifc Computing, 3rd edition, 2002. ISBN: 0-534-38905-8. Brooks/Cole. CSCI 3656 and three semesters of calculus, or consent of ...
Previously, the complementary error function and its repeated integrals were given only for small values of the argument. Several new calculation techniques are ...
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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