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Development of Efficient Computational Methods for Better Estimation of Optical Properties in Diffuse Optical Tomography
(2018-04-02)
Diffuse optical tomography (DOT) is one of the promising imaging modalities that pro-
vides functional information of the soft biological tissues in-vivo, such as breast and brain tissues. The near infrared (NIR) light ...
Study of Higher Order Split-Step Methods for Stiff Stochastic Differential Equations
(2018-04-06)
Stochastic differential equations(SDEs) play an important role in many branches of engineering and science including economics, finance, chemistry, biology, mechanics etc. SDEs (with m-dimensional Wiener process) arising ...
Normal Spectrum of a Subnormal Operator
(2018-03-21)
Let H be a separable Hilbert space over the complex field. The class
S := {N|M : N is normal on H and M is an invariant subspace for Ng of subnormal operators. This notion was introduced by Halmos. The minimal normal ...
Computational Studies on Structures and Functions of Single and Multi-domain Proteins
(2018-05-25)
Proteins are essential for the growth, survival and maintenance of the cell. Understanding the functional roles of proteins helps to decipher the working of macromolecular assemblies and cellular machinery of living ...
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(2018-02-15)
The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very pop-ular in the last two decades ...
Central and Peripheral Correlates of Motor Planning
(2018-02-11)
A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and motor plans from actions. Previous studies have reported evidence of gating of information between intention and action that ...
Kinetic Theory Based Numerical Schemes for Incompressible Flows
(2018-02-07)
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. ...
Eigenvalues of Products of Random Matrices
(2018-02-07)
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 ...
Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations
(2018-02-18)
Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ...