Title
Interval methods: an introduction
Abstract
This chapter contains selected papers presented at the Minisymposium on Interval Methods of the PARA'04 Workshop “State-of-the-Art in Scientific Computing”. The emphasis of the workshop was on high-performance computing (HPC). The ongoing development of ever more advanced computers provides the potential for solving increasingly difficult computational problems. However, given the complexity of modern computer architectures, the task of realizing this potential needs careful attention. A main concern of HPC is the development of software that optimizes the performance of a given computer. An important characteristic of the computer performance in scientific computing is the accuracy of the computation results. Often, we can estimate this accuracy by using traditional statistical techniques. However, in many practical situations, we do not know the probability distributions of different measurement, estimation, and/or roundoff errors, we only know estimates of the upper bounds on the corresponding measurement errors, i.e., we only know an interval of possible values of each such error. The papers from the following chapter contain the description of the corresponding “interval computation” techniques, and the applications of these techniques to various problems of scientific computing.
Year
DOI
Venue
2004
10.1007/11558958_6
PARA
Keywords
Field
DocType
modern computer architecture,advanced computer,interval method,high-performance computing,computation result,computer performance,interval computation,following chapter,scientific computing,different measurement,corresponding measurement error,computer architecture,upper bound
Computational problem,Computer performance,Computer science,Parallel algorithm,Round-off error,Theoretical computer science,Software,Artificial intelligence,Interval arithmetic,Computer engineering,Software development,Computation
Conference
Volume
ISSN
ISBN
3732
0302-9743
3-540-29067-2
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Luke E. K. Achenie1114.47
Vladik Kreinovich21091281.07
Kaj Madsen334163.86