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» Complex Interval Arithmetic Using Polar Form
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DAGSTUHL
2010
13 years 9 months ago
CSG Operations of Arbitrary Primitives with Interval Arithmetic and Real-Time Ray Casting
We apply Knoll et al.'s algorithm [9] to interactively ray-cast constructive solid geometry (CSG) objects of arbitrary primitives represented as implicit functions. Whereas m...
Younis Hijazi, Aaron Knoll, Mathias Schott, Andrew...
ASPDAC
2008
ACM
135views Hardware» more  ASPDAC 2008»
13 years 9 months ago
Analog circuit simulation using range arithmetics
The impact of parameter variations in integrated analog circuits is usually analyzed by Monte Carlo methods with a high number of simulation runs. Few approaches based on interval ...
Darius Grabowski, Markus Olbrich, Erich Barke
SAC
2006
ACM
14 years 1 months ago
Pseudozero set of interval polynomials
Interval polynomials are useful to describe perturbed polynomials. We present a graphical tool to describe how perturbations of the polynomial coefficients affect its zeros witho...
Stef Graillat, Philippe Langlois
BIRTHDAY
2009
Springer
14 years 2 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
CSC
2008
13 years 9 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci