17 citations · 103 across the 18 of their papers we have counts for
18 papers
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with a Fortran Implementation -- Part III: Regular Bessel Functions of the First and Second Kinds and
Mofreh R Zaghloul, Steven G. Johnson
This paper is the final part in a series devoted to the development of numerically stable and efficient algorithms, together with multi-precision Fortran implementations, for compu…
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with Fortran Implementation -- Part II: The Modified Bessel Function of the Second Kind,
Mofreh R. Zaghloul, Steven G. Johnson
This paper, the second in a series, presents an efficient, self-contained algorithm for computing the modified Bessel function of the second kind, \(K_ν(z)\) for complex argument a…
Efficient Multi-Precision Computation of Bessel Functions for Real Orders and Complex Arguments with Fortran Implementation -- Part I: The Modified Bessel Function of the First Kind,
Mofreh R. Zaghloul, Steven G. Johnson
This paper is the first in a series devoted to the development of efficient and highly accurate algorithms, with multiprecision \texttt{Fortran} implementations, for the computatio…
A highly efficient Voigt program for line profile computation
Mofreh R. Zaghloul, Jacques Le Bourlot
Evaluation of the Voigt function, a convolution of a Lorentzian and a Gaussian profile, is essential in various fields such as spectroscopy, atmospheric science, and astrophysics.…
Equation-of-State, Critical Constants, and Thermodynamic Properties of Lithium at High Energy Density
Mofreh R. Zaghloul, Ahmed Hassanein
High-density lithium plasmas are expected to be generated in the Inertial Confinement Fusion (ICF) reactor chamber due to energy deposition of the prompt X-rays and ion debris in t…
Remark on Algorithm 680: evaluation of the complex error function: Cause and Remedy for the Loss of Accuracy Near the Real Axis
Mofreh Zaghloul
In this remark we identify the cause of the loss of accuracy in the computation of the Faddeyeva function, w(z), near the real axis when using Algorithm 680. We provide a simple co…