Mathematical theory and numerical methods for boseeinstein condensation

... physics, and motivates numerous mathematical and numerical studies on GPE 1.1 The Gross- Pitaevskii equation Many different physical applications lead to the Gross- Pitaevskii equation (GPE) For example, ... uniform convergence rates for CNFD and SIFD, independent of the perturbation We overcome the difficulties and obtain uniform error bounds for both CNFD and SIFD,...

Ngày tải lên: 10/09/2015, 15:54

Ngày tải lên: 13/11/2014, 11:08

... 1.3 Characterization of interfacial toughness in thin film systems 10 1.3.1 Characterization of interfacial toughness base on normal indentation 11 1.3.2 Characterization of interfacial toughness ... methods for fracture analyses in thin film systems Chapter presents a brief introduction of strain smoothing technique and G space including th...

Ngày tải lên: 10/09/2015, 08:26

... sectors and cones 1.1 Overview of Viscous Flows in Sectors and Domains with Corners Fluid flows in sectors and cones have a wide range of applications including mechanical engineering, aerospace and ... The flow with a sink with initial regime (2.37) for Re = 100 and α = 90◦ 52 2.24 The flow with a sink with initial regime (2.37) for Re = 100 and α = 115◦...

Ngày tải lên: 11/09/2015, 09:05

... this study and recommendation for future work are given 17 Chapter High- resolution Methods for Multi- fluid Flows with Stiffened Gas Equation of State In this chapter1 , high- resolution methods are ... construct high- resolution methods with AMR, which are very robust and stable Chapter 1.2.3 Introduction and Literature Review Flows Involving Barotropic Compone...

Ngày tải lên: 14/09/2015, 08:44

... the parameter- uniform or ε -uniform methods as methods generated numerical solutions that converge uniformly for all values of the parameter ε, instead of for a given single value of the singularly ... specifying layer- resolving coordinate transformation or constructing layer- resolving algorithms to get the uniform convergence and eliminate the singularities The difficult...

Ngày tải lên: 14/09/2015, 13:35

... K(m,m) www .support- vector. net The Kernel Matrix ! The central structure in kernel machines ! Information ‘bottleneck’: contains all necessary information for the learning algorithm ! Fuses information ... (gaussian kernels) www .support- vector. net 16 Making kernels !From kernels (see closure properties): can obtain complex kernels by combining simpler ones according to specific r...

Ngày tải lên: 24/04/2014, 13:39