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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.
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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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A Retraction Method for Planning the Motion of a Disc
Colm Ó'Dúnlaing,Chee-Keng Yap +1 more
TL;DR: This approach yields an O ( n log n ) algorithm for planning an obstacle-avoiding motion of a single circular disc amid polygonal obstacles, and later papers will show that extensions of the approach can solve other motion-planning problems, including those of moving a straight line segment or several coordinated discs in the plane amid polyagonal obstacles.
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Estimation theory and uncertainty intervals evaluation in presence of unknown but bounded errors: Linear families of models and estimators
Mario Milanese,Gustavo Belforte +1 more
TL;DR: In this paper, the problem of parameter estimation and of the evaluation of related uncertainty intervals is considered in the case that a probabilistic description of noise and errors is not available (of suitable), but only a bound on them is known.