Issue No. 03 - May/June (2005 vol. 7)

ISSN: 1521-9615

pp: 54-61

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/MCSE.2005.52

David H. Bailey , Lawrence Berkeley National Laboratory

ABSTRACT

At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications, a higher level of numeric precision is required: some of these applications require roughly twice this level; others require four times; while still others require hundreds or more digits to obtain numerically meaningful results. Such calculations have been facilitated by new high-precision software packages that include high-level language translation modules to minimize the conversion effort. These activities have yielded a number of interesting new scientific results in fields as diverse as quantum theory, climate modeling and experimental mathematics, a few of which are described in this article. Such developments suggest that in the future, the numeric precision used for a scientific computation may be as important to the program design as are the algorithms and data structures.

INDEX TERMS

high-precision arithmetic, experimental mathematics, climate modeling, quantum theory, computational chemistry, computational physics

CITATION

David H. Bailey, "High-Precision Floating-Point Arithmetic in Scientific Computation",

*Computing in Science & Engineering*, vol. 7, no. , pp. 54-61, May/June 2005, doi:10.1109/MCSE.2005.52