A Hybrid Number Representation Scheme Based on Symmetric Level-Index Arithmetic

- Symmetric level-index arithmetic was introduced to overcome the problems of overflow and underflow in scientific computations. A hybrid SLI-FLP number system, together with some recent improvements of SLI arithmetic can result in a sound implementation of over/underflow free computer arithmetic. The hybrid arithmetic automatically switches between FLP and SLI, in order to achieve both efficiency and robustness for the system. The number representation scheme and algorithms will be discussed briefly in this paper, followed by the description of a software implementation and its successful application to a turbulent combustion problem.

• Type: Conference
• Year: 2006
• Where: CSC
• Authors: Xunyang Shen, Peter Turner
• Keywords: CSC 2006, CSC 2007, Hybrid Sli-flp Number, SLI Arithmetic, Symmetric Level-index Arithmetic