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Showing 1 to 10 of 10 for “"interval arithmetic"”.
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Robust evaluation of differential geometry properties using interval arithmetic techniques
… equation (ODE) system solver based on interval arithmetic. Iso-contouring of curvature of a Bezier surface patch. computation of curvature lines of a Bezier surface patch and computation of geodesics of a Bezier surface patch are computed by the Validated Numerical Ordinary Differential …
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Interval method for special constrained global optimization problems
… method over the last few decades in the area of Interval Arithmetic [1] for finding all solutions of optimization problem. Listed below are some strategies we have developed: a). Binary tree data structure is proposed to record all the data associated with a functional relationship. We build a …
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ACCURACY-AWARE APPROXIMATIONS FOR ERROR ANALYSIS
… point with multi-precision floating point and interval arithmetic libraries and Universal Numbers (UNUMs) through selected case studies. Results emphasize the need to address some of the important challenges like automatic error analysis, programmer productivity, performance and achieving the …
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Surface-surface intersection with validated error bounds
… equation (ODE) system solver based on interval arithmetic, we obtain a continuous, validated upper bound for the intersection curve segment in the parametric space of each surface. Application of the validated ODE solver in the context of eliminating the pathological phenomena of …
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Global dynamic optimization
… Additionally, methods are developed using interval arithmetic to derive the exact state bounds for the solution of a linear dynamic system. Given a nonzero tolerance, the method is rigorously shown to converge to the global solution in a finite time. An implementation is developed, and via …
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Nondeterministic Linear Static Finite Element Analysis: An Interval Approach
… are introduced as bounded possible values (intervals). FEA with interval parameters (interval FEA, IFEA) calculates the bounds on the system response based on the ranges of the system parameters. The obtained results should be accurate and efficiently computed. Toward this end, a rigorous …
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Predicting Tolerance Effects on The Radiation Pattern of Reflectarray Antennas Through Interval Analysis
… pattern of reflectarray antennas through Interval Analysis. In fact, the uncertainty on the actual size of all parameters under fabrication tolerates such as element dimensions and dielectric properties, are modeled with interval values. Afterwards, the rules of Interval Arithmetic are …
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Mathematical and Computational Methods for the n-Body Problem
… computer-assisted validation framework. Using interval arithmetic, validated Fourier-series operations, and fixed-point theorems, numerically computed orbits are enclosed within certified bounds, thereby providing formal proofs of existence for true periodic solutions of Newton’s equations. …
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Fast and Accurate Prediction of the Impact of Approximate Operators on a Complex Computation
L'abstract è presente nell'allegato / the abstract is in the attachment
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Intersection Algorithms Based On Geometric Intervals
… algorithms introduce the concept of a geometric interval to extend the technique of Bézier clipping. A geometric interval is used to tightly bound a curve or surface or to contain a point on a curve or surface. Our algorithms retain the desirable characteristics of the Bézier clipping technique …