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Search Publications by: Daniel Lozier (Assoc)

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Displaying 1 - 17 of 17

A Special Functions Handbook for the Digital Age

August 1, 2011
Author(s)
Ronald F. Boisvert, Charles W. Clark, Daniel W. Lozier, Frank W. Olver
The NIST Digital Library of Mathematical Functions (DLMF) is a reference work providing information on the properties of the special functions of applied mathematics. It is a successor to the highly successful NBS Handbook of Mathematical Functions

The NIST Handbook of Mathematical Functions

May 12, 2010
Author(s)
Frank W. Olver, Daniel W. Lozier, Ronald Boisvert, Charles W. Clark
The NIST Handbook of Mathematical Functions supplies validated reference information in 36 chapters on a wide selection of important mathematical functions, covering the properties necessary for their use in scientific applications, together with general

Algorithm xxx: Airy Functions

December 15, 2004
Author(s)
Bruce R. Fabijonas, Daniel W. Lozier, Frank W. Olver
We present a Fortran 90 module which computes the solutions of Airy's differential equation, and their derivatives, both on the real line and in the complex plane. The computational methods are numerical integration of the differential equation and

NIST Digital Library of Mathematical Functions

May 1, 2003
Author(s)
Daniel W. Lozier
NIST (formerly, National Bureau of Standards) has started an ambitious project that aims to produce a successor to Abramowitz and Stegun's {\em Handbook of Mathematical Functions}, published by the National Bureau of Standards in 1964 and reprinted by

Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons

February 1, 2003
Author(s)
B R. Fabijonas, Daniel W. Lozier, J M. Rappoport
The modified Bessel function K iŅχ, also known as the Macdonald function, finds application in the Kontorovich-Lebedev integral transform when χ and Ņ are real and positive. In this paper, a comparison of three codes for computing this function is made

Mathematics and Measurement

January 1, 2001
Author(s)
Ronald F. Boisvert, Michael J. Donahue, Daniel W. Lozier, Robert D. McMichael, Bert W. Rust
In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST's current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent

The DLMF Project: A New Initiative in Classical Special Functions

June 1, 1999
Author(s)
Daniel W. Lozier
NIST (formerly, National Bureau of Standards) has started an ambitious project that aims to produce a successor to Abramowitz and Stegun's {\em Handbook of Mathematical Functions}, published by the National Bureau of Standards in 1964 and reprinted by

Measurement and Standards for Computational Science and Engineering

March 1, 1999
Author(s)
Ronald F. Boisvert, J L. Blue, Daniel W. Lozier, William F. Mitchell, Roldan Pozo, Michael J. Donahue, Donald G. Porter
This report describes current work within ITL on the development of measurement and standards technology to improve the practice of computational science and engineering.

Design of a Digital Mathematical Library for Science, Technology and Education

February 26, 1999
Author(s)
Daniel W. Lozier, Bruce R. Miller, Bonita V. Saunders
The concept of a digital library is of proven worth because of its ability to provide dramatic capabilities that are impossible with traditional print media. We are interested in providing such capabilities for scientific, technical and educational users