We perform a smoothed analysis of the termination phase of an interior-point method. By combining this analysis with the smoothed analysis of Renegar’s interior-point algorithm in [DST02], we show that the smoothed complexity of an interior-point algorithm for linear programming is O(m log(m/σ)). In contrast, the best known bound on the worst-case complexity of linear programming is O(mL), wher...

We perform a smoothed analysis of a termination phase for linear programming algorithms. By combining this analysis with the smoothed analysis of Renegar’s condition number by Dunagan, Spielman and Teng (http://arxiv.org/abs/cs.DS/0302011) we show that the smoothed complexity of interior-point algorithms for linear programming isO(m3 log(m/σ)). In contrast, the best known bound on the worst-cas...

modelling the various kind of fluid based on Smoothed Particle Hydrodynamics (SPH) in modelling and simulating the gas flow with free surfaces. The modelling technique uses particle system together with molecular dynamics and also any possible external forces. The fluid equations previously used to model compressible fluid are now used to model incompressible fluid, the stiff gas, which is ofte...

The visual system represents object shapes in terms of intermediate-level parts. The minima rule proposes that the visual system uses negative minima of curvature to define boundaries between parts. We used visual search to test whether part structures consistent with the minima rule are computed preattentively--or at least, rapidly and early in visual processing. The results of Experiments 1 a...

The Di erential Global Positioning System-based precision approach and landing architectures proposed by the Federal Aviation Administration (FAA) include the Wide Area Augmentation System (WAAS) and the Local Area Augmentation System (LAAS) for performing landings in Category (CAT) I and CAT III minima, respectively. The Required Navigation Performance (RNP) for GPS-based satellite navigation ...

The life of a tsunami is usually divided into three phases: the generation (tsunami source), the propagation and the inundation. Each phase is complex and often described separately. A brief description of each phase is given. Model problems are identified. Their formulation is given. While some of these problems can be solved analytically, most require numerical techniques. The inundation phas...