Results 241 to 250 of about 222,312 (289)
Some of the next articles are maybe not open access.
Microprogrammed interval arithmetic
ACM SIGNUM Newsletter, 1980Computational methods using interval arithmetic allow the computer to provide rigorous error bounds along with approximate solutions for a wide and growing class of computational problems. A recent survey [1] lists over 700 references. The implementation of interval arithmetic using subroutine calls is inefficient - typically 10 to 100 times slower ...
openaire +1 more source
Interval arithmetic implementations
ACM SIGNUM Newsletter, 1984This paper presents some algorithms implementing interval arithmetic using floating point arithmetic. The algorithms apply to almost any digital computer supporting normalized floating point arithmetic and provide better performance than conventional interval arithmetic program libraries.
openaire +1 more source
Interval arithmetic and static interval finite element method
Applied Mathematics and Mechanics, 2001When the uncertainties of structures may be bounded in intervals, through some suitable discretization, interval finite element method can be constructed by combining the interval analysis with the traditional finite element method (FEM). The two parameters, median and deviation, were used to represent the uncertainties of interval variables.
Guo, Shuxiang, Lü, Zhenzhou
openaire +2 more sources
Standardized Interval Arithmetic and Interval Arithmetic Used in Libraries
2010The standardization of interval arithmetic is currently undertaken by the IEEE-1788 working group. Some features of the standard are detailed. The features chosen here are the ones which may be the less widely adopted in current implementations of interval arithmetic. A survey of interval-based libraries, focusing on these features, is given.
openaire +2 more sources
Interval Arithmetic Error-Bounding Algorithms
SIAM Journal on Numerical Analysis, 1975This paper first exposes some of the defects in the interval arithmetic algorithms of Moore and Kruckeberg. Then it identifies classes of problems on which these algorithms compute “optimum bounds”.
openaire +2 more sources
Interval Arithmetic on Multimedia Architectures
Reliable Computing, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Fast and Parallel Interval Arithmetic
BIT Numerical Mathematics, 1999In \(\mathbb{K}\in\{\mathbb{R}, \mathbb{C}\}\) compact intervals can be defined in a midpoint-radius representation as \[ A= \langle a,\alpha\rangle:= \{x\in \mathbb{K}:|x-a|\leq \alpha\}, \] where \(a\in\mathbb{K}\) is the midpoint and \(0\leq\alpha= \text{rad } A\in\mathbb{R}\) is the radius.
openaire +2 more sources
2002
This paper deals with interval arithmetic and interval mathematics. Interval mathematics has been developed to a high standard during the last few decades. It provides methods which deliver results with guarantees. However, the arithmetic available on existing processors makes these methods extremely slow.
openaire +1 more source
This paper deals with interval arithmetic and interval mathematics. Interval mathematics has been developed to a high standard during the last few decades. It provides methods which deliver results with guarantees. However, the arithmetic available on existing processors makes these methods extremely slow.
openaire +1 more source
Interval Arithmetic and Analysis
The College Mathematics Journal, 1999James Case (jcase66777@aol.com) is a working mathematician (Ph.D. Michigan, 1967) who endured his first mid-life crisis at the tender age of twenty-one, due to the predictable but unwelcome termination of his employment as a pitcher in the L.A. Dodger's minor League organization.
openaire +1 more source