Publications of Daniel W. Lozier

[FLR03] B.R. Fabijonas, D.W. Lozier and J.M. Rappoport, Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons, Journal of Computational and Applied Mathematics 161(2003), pp. 179-192. Preprint: [nistir6596.pdf]

[Loz03] D.W. Lozier, NIST Digital Library of Mathematical Functions, Annals of Mathematics and Artificial Intelligence 38,1-3 (May 2003), pp. 105-119. Preprint: [Linz01.pdf]

[BDL+01] R.F. Boisvert, M.J. Donahue, D.W. Lozier, R. McMichael and B.W. Rust, Mathematics and Measurement, NIST Journal of Research 106,1(Jan-Feb 2001), pp. 293-313.

[BL01] R.F. Boisvert and D.W. Lozier, Handbook of Mathematical Functions, in D.R. Lide, ed., A Century of Excellence in Measurements, Standards, and Technology, CRC Press, 2001, pp. 135-139. Also printed as NIST Special Publication 958, Jan. 2001.

[LO00] D.W. Lozier and F.W.J. Olver, Numerical Evaluation of Special Functions (Version 2), December 2000, 48 pages. Update of NISTIR 5383 through 1999; see [LO94] for the original version. [NESF-Ver2.pdf]

[Loz00] D.W. Lozier, The DLMF Project: A New Initiative in Classical Special Functions, in C. Dunkl, M. Ismail and R. Wong, eds., Special Functions: Proceedings of the International Workshop, World Scientific (Singapore), 2000, pp. 207-220. [HongKong99.pdf]

[LMS99] D.W. Lozier, B.R. Miller and B.V. Saunders, Design of a Digital Mathematical Library for Science, Technology and Education, in Proc. IEEE Forum on Research and Technology Advances in Digital Libraries, May 19-21, 1999, Baltimore, Maryland. IEEE Computer Society Press, Los Alamitos, California, 1999, pp. 118-128. Preprint: NISTIR 6297, Feb. 1999, 13 pages. [nistir6297.pdf].

[Loz97b] D.W. Lozier, Toward a Revised NBS Handbook of Mathematical Functions, NISTIR 6072, September 1997, 8 pages. [nistir6072.pdf],

[Loz97a] D.W. Lozier, A Proposed Software Test Service for Special Functions, in R.F. Boisvert, ed., The Quality of Numerical Software: Assessment and Enhancement, Chapman and Hall, London, 1997, pp. 167-178. Preprint: NISTIR 5916, October 1996, 11 pages. [nistir5916.pdf],

[ALST96] M.A. Anuta, D.W. Lozier, N. Schabanel and P.R. Turner, Basic Linear Algebra Operations in SLI Arithmetic, Proc. Euro-Par'96, LNCS 1124, vol. 2, Springer-Verlag, 1996, pp. 193-202. Preprint: NISTIR 5811, March 1996, 15 pages. [nistir5811.pdf].

[ALT96] M.A. Anuta, D.W. Lozier and P.R. Turner, The MasPar MP-1 as a Computer Arithmetic Laboratory, J. Res. Nat. Inst. Standards and Technology 101,2 (March-April 1996), pp. 165-174.

[Loz96] D.W. Lozier, Software Needs in Special Functions, J. Comput. Appl. Math. 66(1996) pp. 345-358. Preprint: NISTIR 5490, August 1994, 16 pages. [nistir5490.pdf]

[LT96] D.W. Lozier and P.R. Turner, Error-Bounding in Level-Index Computer Arithmetic, in G. Alefeld and J. Herzberger, eds., Numerical Methods and Error Bounds, Akademie Verlag, Berlin, 1996, pp. 138-145. Preprint: [oldenburg95.pdf]

[LO94] D.W. Lozier and F.W.J. Olver, Numerical Evaluation of Special Functions, NISTIR 5383, March 1994, 47 pages. For an update through 1999 see [LO00]. [nistir5383.pdf]

[LO93] D.W. Lozier and F.W.J. Olver, Airy and Bessel Functions by Parallel Integration of ODEs, in R.F. Sincovec, et al., eds., Proc. Sixth SIAM Conference on Parallel Processing for Scientific Computing, vol. 2, SIAM, 1993, pp. 530-538.

[Loz93] D.W. Lozier, An Underflow-Induced Graphics Failure Solved by SLI Arithmetic, in E. Swartzlander Jr. et al., eds., Proc. 11th Symposium on Computer Arithmetic, IEEE, 1993, pp. 10-17.

[LT92b] D.W. Lozier and P.R. Turner, Symmetric Level-Index Arithmetic in Simulation and Modeling, J. Res. Nat. Inst. Standards and Technology 97 (1992), pp. 471-485.

[LT92a] D.W. Lozier and P.R. Turner, Robust Parallel Computation in Floating-Point and SLI Arithmetic Computing 48 (1992), pp. 239-257.

[LO90] D.W. Lozier and F.W.J. Olver, Closure and Precision in Level-Index Arithmetic, SIAM J. Numer. Anal. 27 (1990), pp. 1295-1304.

[LR89] D.W. Lozier and R.G. Rehm, Some Performance Comparisons for a Fluid Dynamics Code, Parallel Comput. 11 (1989), pp. 305-320.

[CLOT86] C.W. Clenshaw, D.W. Lozier, F.W.J. Olver and P.R. Turner, Generalized Exponential and Logarithmic Functions, Comput. Math. Appl. 12B (1986), pp. 1091-1101. FullText

[Loz83] D.W. Lozier, The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds, IEEE Trans. Comp. C-32 (1983), pp. 411-417.

[SOL81] J.M. Smith, F.W.J. Olver and D.W. Lozier, Extended-Range Arithmetic and Normalized Legendre Polynomials, ACM Trans. Math. Software 7 (1981), pp. 93-105, 141-146.

[Loz80] D.W. Lozier, Numerical Solution of Linear Difference Equations, NBSIR80-1976, March 1980, 174 pages.

[Loz78] D.W. Lozier, A Universal Set of Test Data for Computer Implementations of Elementary Mathematical Functions, NISTIR 78-1478, May 1978, 24 pages.

[WLO76] W.T. Wyatt, D.W. Lozier and D.J. Orser, A Portable Extended-Precision Arithmetic Package and Library with Fortran Precompiler, ACM Trans. Math. Software 2 (1976), pp. 209-231.

[LMS73] D.W. Lozier, L.C. Maximon and W.L. Sadowski, A Bit Comparison Program for Algorithm Testing, Comput. J. 16 (1973), pp.111-117.