Date: November 1, 1996

Postdoctoral Opportunity in Computation of Special Functions

This research opportunity focuses on improving the numerical support of higher transcendental functions in parallel and other advanced computational settings through development of algorithms, software and test procedures. An applicant with strong preparation in classical mathematical analysis, especially complex analysis, is sought. Other relevant preparation includes experience in numerical analysis, theory of special functions and computer science.

Emphasis in algorithm development is placed on methods for generating numerical values of special functions for complex values of their arguments and parameters. For example, in conjunction with asymptotic and other series expansions, differential and difference equations can be solved in parallel to form stable and effective algorithms in the complex domain. Detailed mathematical analysis is required to bound, or estimate, truncation errors and optimize algorithmic parameters. Emphasis in software and test procedure development is placed on construction of robust and highly reliable packages and systems. The purpose is to fill gaps and correct defects that exist in currently available library software for special functions, and to provide a user-oriented test service capable of being tailored to very specific needs. Progress in algorithm development is fundamental to these applications, as is the use of advanced Internet communications and parallel computing techniques.

This Postdoctoral Research Associateship is administered by the National Research Council, Washington, DC. Only US citizens are eligible. Its tenure is two years starting not earlier than July 1, 1997, and not later than February 1, 1998. Applications must be mailed by January 15, 1997. The doctorate must have been received less than five years before application. The base salary is $45,500. For further information, contact as soon as possible the Research Adviser for this Associateship:

Dr. Daniel W. Lozier
Building 820, Room 365
Applied and Computational Mathematics Division
National Institute of Standards and Technology
Gaithersburg, MD 20899
E-mail: dlozier@nist.gov, telephone: (301) 975-2706.