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 ...

The well-known error estimates for the numerical computation of eigenvalues of symmetric integral equations are extended to the computation of the eigenvectors. The ...

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 ...

Q: I found an anomaly with a rather simple Excel computation; specifically, Excel calculates 111,111,111 times 111,111,111 to equal 12,345,678,987,654,300, which is ...

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 ...

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 ...