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SMA
2005
ACM
109views Solid Modeling» more  SMA 2005»
15 years 8 months ago
Numerical decomposition of geometric constraints
Geometric constraint solving is a key issue in CAD/CAM. Since Owen’s seminal paper, solvers typically use graph based decomposition methods. However, these methods become diffi...
Sebti Foufou, Dominique Michelucci, Jean-Paul Jurz...
VMCAI
2005
Springer
15 years 8 months ago
An Overview of Semantics for the Validation of Numerical Programs
Interval computations, stochastic arithmetic, automatic differentiation, etc.: much work is currently done to estimate and to improve the numerical accuracy of programs but few c...
Matthieu Martel
CASC
2006
Springer
410views Mathematics» more  CASC 2006»
15 years 6 months ago
A Symbolic-Numeric Approach to Tube Modeling in CAD Systems
In this note we present a symbolic-numeric method to the problem of tube modeling in CAD systems. Our approach is based on the Kirchhoff kinetic analogy which allows us to find ana...
Gerrit Sobottka, Andreas Weber 0004
CORR
2007
Springer
76views Education» more  CORR 2007»
15 years 2 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
JCPHY
2011
89views more  JCPHY 2011»
14 years 5 months ago
Numerically stable fluid-structure interactions between compressible flow and solid structures
We propose a novel method to implicitly two-way couple Eulerian compressible flow to volumetric Lagrangian solids. The method works for both deformable and rigid solids and for a...
Jón Tómas Grétarsson, Nipun K...