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 ...

Previously, the complementary error function and its repeated integrals were given only for small values of the argument. Several new calculation techniques are ...

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 ...

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...

I would like to address the following question: When you use a computer to solve a problem (I would call this a numerical calculation), is it an experiment or theory? Or is it something else? It's a ...