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Applied Interval Analysis
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The article was published on 2001-08-30 and is currently open access. It has received 1709 citations till now. The article focuses on the topics: Interval arithmetic.read more
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Book
Introduction to Interval Computation
TL;DR: In this paper, the authors present an ALGOLGOL-based approach for the inclusion of complex Zeros of polynomials of a function of one real variable in a system of linear systems of equations.
Journal ArticleDOI
Survey of sampling-based methods for uncertainty and sensitivity analysis
TL;DR: Sampling-based methods for uncertainty and sensitivity analysis are reviewed and special attention is given to the determination of sensitivity analysis results.
Book
Digital arithmetic
Milo D. Ercegovac,Toms Lang +1 more
TL;DR: Digital Arithmetic, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independent manner, to develop sound solutions, avoid known mistakes, and repeat successful design decisions.
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On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
TL;DR: This article reviews identifiability analysis methodologies for nonlinear ODE models developed in the past one to two decades, including structural identifiable analysis, practical identIFiability analysis and sensitivity-based identifability analysis.
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Complete search in continuous global optimization and constraint satisfaction
TL;DR: This survey covers the state of the art of techniques for solving general-purpose constrained global optimization problems and continuous constraint satisfaction problems, with emphasis on complete techniques that provably find all solutions (if there are finitely many).
References
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Journal ArticleDOI
Parameter-Bounding Algorithms for Linear Errors in Variables Models
Sandor M. Veres,John Norton +1 more
TL;DR: The static and dynamic cases of parameter bounding for errors-in-variables models are discussed and their differences clarified, and algorithms to calculate parameter bounds for such models are presented.
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Applications of Software for Automatic Differentiation in Numerical Computation
TL;DR: This paper describes construction and applications of Software for automatic differentiation and examples from actual experience are cited to illustrate the theory.
Journal ArticleDOI
Über die Notwendigkeit einer Fehlerschranken-Arithmetik für Rechenautomaten
Proceedings ArticleDOI
A combined interval and floating point multiplier
TL;DR: The design of a multiplier that performs either interval or floating point multiplication is presented, which requires only slightly more area and delay than a conventional floating point multiplier, and is one to two orders of magnitude faster than software implementations of interval multiplication.