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Affine arithmetic
Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations…
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2D computer graphics
Dynamical system
Error analysis (mathematics)
Implicit surface
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Unbalanced three-phase distribution system power flow with distributed generation using affine arithmetic
F. Xue
,
Weilun Xie
,
+5 authors
Ming Chen
International Conference on Electric Utility…
2015
Corpus ID: 22056470
Due to the high penetration of the uncertain distributed generations (DGs), including wind power generators (WTG), photovoltaic…
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2014
2014
Hierarchical control of piecewise affine hybrid systems
Mohamed K. Helwa
,
P. Caines
IEEE Conference on Decision and Control
2014
Corpus ID: 215445
This paper extends the hierarchical control structures in [4], [6], [17] to the important class of piecewise affine (PWA) hybrid…
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2013
2013
Analytic formulas for complete hyperbolic affine spheres
R. Hildebrand
2013
Corpus ID: 119146398
We classify all regular three-dimensional convex cones which possess an automorphism group of dimension at least two, and provide…
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Review
2010
Review
2010
IMAGE ENCRYPTION TECHNIQUES USING CHAOTIC SCHEMES : A REVIEW
Zhang Han
,
Wang Feng
,
M.-R. Zhang
,
G.-C. Shao
,
K. Yi
2010
Corpus ID: 15570997
Cryptography is about communication in the presence of an adversary. It encompasses many problems like encryption, authentication…
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2008
2008
Adendum to Self-verified extension of affine arithmetic to arbitrary order
G. Bilotta
2008
Corpus ID: 118631737
Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties…
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2004
2004
An Improved Interval Linearization for Solving Nonlinear Problems
L. Kolev
Numerical Algorithms
2004
Corpus ID: 22774893
Let f(x) denote a system of n nonlinear functions in m variables, m≥n. Recently, a linearization of f(x) in a box x has been…
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2004
2004
Using directed acyclic graphs to coordinate propagation and search for numerical constraint satisfaction problems
Xuan-Ha Vu
,
H. Schichl
,
Djamila Sam-Haroud
IEEE International Conference on Tools with…
2004
Corpus ID: 2107534
The paper of H. Schichl & A. Neumaier has given the fundamentals of interval analysis on DAGs for global optimization and…
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2004
2004
Refinement of mixed-signals systems with affine arithmetic
C. Grimm
,
W. Heupke
,
K. Waldschmidt
Proceedings Design, Automation and Test in Europe…
2004
Corpus ID: 12559262
This paper describes a framework for the refinement of control and signal processing functions. The design starts with an…
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2002
2002
Analog circuit sizing based on formal methods using affine arithmetic
Andreas C. Lemke
,
L. Hedrich
,
E. Barke
IEEE/ACM International Conference on Computer…
2002
Corpus ID: 13319209
We present a novel approach to optimization-based variation-tolerant analog circuit sizing. Using formal methods based on affine…
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1997
1997
Fast Interval Branch-And-Bound Methods For Unconstrained Global Optimization With Affine Arithmetic
L. Figueiredo
,
Ronald John Van Iwaarden
,
J. Stolfi
1997
Corpus ID: 18185143
We show that faster solutions to unconstrained global optimization problems can be obtained by combining previous accelerations…
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