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    Browsing Mathematics (MA) by Title

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    Now showing items 71-90 of 163

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      • Kinematical Conservation Laws And Propagation Of Nonlinear Waves In Three Dimensions 

        Arun, K R (2013-02-12)
      • Kinetic Theory Based Numerical Schemes for Incompressible Flows 

        Ruhi, Ankit (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. ...
      • Learning Filters, Filterbanks, Wavelets and Multiscale Representations 

        Jawali, Dhruv
        The problem of filter design is ubiquitous. Frequency selective filters are used in speech/audio processing, image analysis, convolutional neural networks for tasks such as denoising, deblurring/deconvolution, enhancement, ...
      • Local Projection Stabilization Methods for the Oseen Problem 

        Biswas, Rahul
        Finite element approximation of fluid flow problems with dominant convection exhibit spurious oscillations. To eliminate these nonphysical oscillations one needs to incorporate stabilizations that can curb the effect of ...
      • Lp-Asymptotics of Fourier Transform Of Fractal Measures 

        Senthil Raani, K S (2018-06-08)
        One of the basic questions in harmonic analysis is to study the decay properties of the Fourier transform of measures or distributions supported on thin sets in Rn. When the support is a smooth enough manifold, an almost ...
      • Maps Between Non-compact Surfaces 

        Das, Sumanta
        This thesis focuses on studying proper maps between two non-compact surfaces with a particular emphasis on the topological rigidity and the Hopfian property. Topological rigidity is the property that every homotopy equivalence ...
      • Matchings Between Point Processes 

        Jana, Indrajit (2014-06-20)
      • Mechanising knot Theory 

        Prathamesh, Turga Venkata Hanumantha (2018-01-31)
        Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. It involves translation of relevant mathematical theories from one system of logic to another, to render these theories ...
      • Minimal Crystallizations of 3- and 4- Manifolds 

        Basak, Biplab (2018-06-11)
        A simplicial cell complex K is the face poset of a regular CW complex W such that the boundary complex of each cell is isomorphic to the boundary complex of a simplex of same dimension. If a topological space X is homeomorphic ...
      • Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups 

        Boggarapu, Pradeep (2018-01-03)
        This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms ...
      • The Momentum Construction Method for Higher Extremal Kähler and Conical Higher cscK Metrics 

        Sompurkar, Rajas Sandeep
        This thesis consists of two parts. In both the parts we study two new notions of canonical K\"ahler metrics on compact K\"ahler manifolds which were introduced by Pingali, viz. `higher extremal K\"ahler metric' and ...
      • The monopole-dimer model and eccentricities for Cartesian product of graphs 

        Arora, Anita
        This thesis comprises two main parts. The details of the two parts are as follows: The first part of the thesis deals with the monopole-dimer model. The dimer (resp. monomer-dimer) model deals with weighted enumeration of ...
      • Multi-scale Modelling of HLA Diversity and Its Effect on Cytotoxic Immune Responses in Influenza H1N1 Infection 

        Mukherjee, Sumanta (2018-06-06)
        Cytotoxic T-lymphocytes (CTLs) are important components of the adaptive immune system and function by scanning the intracellular environment so as to detect and de-stroy infected cells. CTL responses play a major role in ...
      • A Multiscale Modeling Study of Iron Homeostasis in Mycrobacterium Tuberculosis 

        Ghosh, Soma (2018-05-10)
        Mycobacterium tuberculosis (M.tb), the causative agent of tuberculosis (TB), has remained the largest killer among infectious diseases for over a century. The increasing emergence of drug resistant varieties such as the ...
      • Near Optimal Non-malleable Codes and Leakage Resilient Secret Sharing Schemes 

        Sekar, Sruthi
        A well-studied class of attacks on cryptosystems called "side-channel attacks", stems from the additional access that an adversary can get due to the susceptibility of the hardware on which the cryptosystem (e.g., digital ...
      • Nodal sets of random functions 

        Lakshmi Priya, M E
        This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace ...
      • Normal Spectrum of a Subnormal Operator 

        Kumar, Sumit (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 ...
      • Novel Upwind and Central Schemes for Various Hyperbolic Systems 

        Garg, Naveen Kumar (2018-05-21)
        The class of hyperbolic conservation laws model the phenomena of non-linear wave propagation, including the presence and propagation of discontinuities and expansion waves. Such nonlinear systems can generate discontinuities ...
      • Numerical Methods for Elliptic Variational Inequalities in Higher Dimensions 

        Sharat, Gaddam
        The main emphasis of this thesis is on developing and implementing linear and quadratic finite element methods for 3-dimensional (3D) elliptic obstacle problems. The study consists of a priori and a posteriori error ...
      • Numerical Simulation Of Converging Nonlinear Wavefronts 

        Sangeeta, K (2013-01-24)

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