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HighPrecision FloatingPoint Arithmetic in Scientific Computation
May/June 2005 (vol. 7 no. 3)
pp. 5461
ASCII Text  x  
David H. Bailey, "HighPrecision FloatingPoint Arithmetic in Scientific Computation," Computing in Science and Engineering, vol. 7, no. 3, pp. 5461, May/June, 2005.  
BibTex  x  
@article{ 10.1109/MCSE.2005.52, author = {David H. Bailey}, title = {HighPrecision FloatingPoint Arithmetic in Scientific Computation}, journal ={Computing in Science and Engineering}, volume = {7}, number = {3}, issn = {15219615}, year = {2005}, pages = {5461}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCSE.2005.52}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  MGZN JO  Computing in Science and Engineering TI  HighPrecision FloatingPoint Arithmetic in Scientific Computation IS  3 SN  15219615 SP54 EP61 EPD  5461 A1  David H. Bailey, PY  2005 KW  highprecision arithmetic KW  experimental mathematics KW  climate modeling KW  quantum theory KW  computational chemistry KW  computational physics VL  7 JA  Computing in Science and Engineering ER   
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/MCSE.2005.52
At the present time, IEEE 64bit floatingpoint 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 highprecision software packages that include highlevel 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:
highprecision arithmetic, experimental mathematics, climate modeling, quantum theory, computational chemistry, computational physics
Citation:
David H. Bailey, "HighPrecision FloatingPoint Arithmetic in Scientific Computation," Computing in Science and Engineering, vol. 7, no. 3, pp. 5461, MayJune 2005, doi:10.1109/MCSE.2005.52
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