The DE-Sinc formulas, resulting from a combination of the Sine approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In ...

Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...

This report presents near-minimax rational approximations for the Bickley functions $Ki_1(x)$ for $x \geqslant 0, Ki_2(x)$ and $Ki_3(x)$ for $0 \leqslant x \leqslant ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

A decade ago astrophysicists at the Laser Interferometer Gravitational-Wave Observatory (LIGO), operated by the California Institute of Technology and the Massachusetts Institute of Technology, ...