Browsing Mathematics (MA) by thesis submitted date"2016"
Now showing items 110 of 10

Analytic and Entire Vectors for Representations of Lie Groups
(20180101)We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ... 
Development Of NMR Methods For Metabolomics And Protein Resonance Assignments
(20170525)Nuclear Magnetic Resonance (NMR) spectroscopy is a quantitative, noninvasive and nondestructive technique useful in biological studies. By manipulating the magnetization of nuclei with nonzero spin, NMR gives insights ... 
Eigenvalues of Products of Random Matrices
(20180207)In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ... 
Finite Element Analysis of Interior and Boundary Control Problems
(20180618)The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ... 
Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves
(20171130)Goldman [Gol86] introduced a Lie algebra structure on the free vector space generated by the free homotopy classes of oriented closed curves in any orientable surface F . This Lie bracket is known as the Goldman bracket ... 
Kinetic Theory Based Numerical Schemes for Incompressible Flows
(20180207)Turbulence is an open and challenging problem for mathematical approaches, physical modeling and numerical simulations. Numerical solutions contribute significantly to the understand of the nature and effects of turbulence. ... 
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(20180714)Significant advancements in genome sequencing techniques and other highthroughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... 
Study of Optimal Control Problems in a Domain with Rugose Boundary and Homogenization
(20171210)Mathematical theory of partial differential equations (PDEs) is a pretty old classical area with wide range of applications to almost every branch of science and engineering. With the advanced development of functional ... 
Toward Computationally Efficient Models for Nearinfrared and Photoacoustic Tomographic Imaging
(20171128)Near Infrared (NIR) and Photoacoustic (PA) Imaging are promising imaging modalities that provides functional information of the soft biological tissues invivo, with applications in breast and brain tissue imaging. These ...