Mathematics project topics

Get Complete Project Material File(s) Now! » Mathematical introduction This mathematical introduction describes the frameworks in which this thesis works take place, and presents mathematical tools used in the following chapters, for self-containment. First, it introduces the setting of forecasting...

Get Complete Project Material File(s) Now! » Context in Differential Geometry and its Discrete Equivalents This chapter introduces the main mathematical tools that will be used throughout the thesis. A brief overview of differential geometry focused on intrinsic geometry is...

Get Complete Project Material File(s) Now! » Shape optimization and shape identification problems We introduce the abstract framework of a shape optimization problem, that is an optimiza-tion problem in which the objective functional depends on the shape of the domain...

Get Complete Project Material File(s) Now! » The mean field Bose gas Our results for the mean field Bose gas are weaker than for the perfect gas, as we do not establish the existence of a limit for the sequence...

Get Complete Project Material File(s) Now! » Chapter 2 Scattering problems for unbounded inhomogeneous layers Abstract The goal of this chapter is two-folds. It first introduces the scattering problem that motivates the main developments in this thesis, namely the scattering...

Get Complete Project Material File(s) Now! » Hydropower and hydroelectricity Basics of hydropower Hydropower denotes any form of power related to water. Though they are commonly used for one another – it will be the case in this thesis –...

Get Complete Project Material File(s) Now! » Random projections and Johnson-Lindenstrauss lemma Johnson-Lindenstrauss lemma One of the main motivations for the development of random projections is the so-called Johnson-Lindenstrauss lemma (JLL), which is found by William B. Johnson and Joram...

Get Complete Project Material File(s) Now! » Climate engineering As GHG emissions continue to rise, the idea of deliberately altering the climate through large scale technological measures (other than emission reductions) has gained in-creasing interest. The proposed methods for this...

Get Complete Project Material File(s) Now! » From a classical formulation to the weak formulation. We now assume that , u is a classical solution of the problem (1.12){(1.15), (1.18). (The classical solution is a solution which is continuous in...