• Nearly Invariant Subspaces with Finite Defect in Vector Valued Hardy Spaces and its Applications 

  Das, Soma (2023)

  In this dissertation, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector valued Hardy space. Using this characterization we completely describe the almost ...
• Trace Formulas and Finite Dimensional Approximations 

  Pradhan, Chandan (2023)

  The dissertation gives a new proof of some existing second-order trace formulas, namely the Koplienko-Neidhardt trace formula for pair of unitaries in the multiplicative path, the Koplienko-Neidhardt trace formula for pair ...
• Risk-Sensitive Stochastic Control and Games 

  Golui, Subrata (2023)

  This thesis considers risk-sensitive stochastic control and game problems on countable/Borel state space for discrete/continuous-time Markov decision processes (MDPs) under certain Lyapunov conditions. Here, infinite horizon ...
• Higher Order Compact Explicit Jump Immersed Interface Methods for Incompressible Viscous Flows: Application and Development 

  Singhal, Raghav (2023)

  "This study is primarily focused on the development of explicit jump high-order compact finite difference immersed interface approaches for the purpose of solving incompressible viscous flows that are governed by the ...
• Integral Mixed Cayley Graphs 

  Kadyan, Monu (2023)

  In spectral graph theory, mixed graphs are crucial because they give a structure in which directed and undirected edges may coexist. If every edge of a mixed graph is undirected, then such a graph is known as an undirected graph.
• Stochastic Control Problems with Probability and Risk-sensitive Criteria 

  Bhabak, Arnab (2023)

  In this thesis we consider stochastic control problems with probability and risk-sensitive criterion. We consider both single and multi controller problems. Under probability criterion we first consider a zero-sum game ...
• Adaptive Finite Element Methods for Parabolic Interface Problems 

  Ray, Tanushree (2021)

  The main objective of this thesis is to study adaptive nite element methods (AFEMs) for parabolic interface problems in a bounded convex polygonal domain in R2. Interface problems arise in a wide variety of applications ...
• Discretization in Space and Time of Subdiffusion Equations with Memory 

  Mahata, Shantiram (2022)

  The main objective of this thesis is to investigate the numerical analysis of nite element method for the subdi usion equations with memory. Both smooth and singular kernels are considered covering smooth and nonsmooth ...
• Localizing Spectra and Pseudospectra of Matrices and Matrix Polynomials 

  Roy, Nandita (2022)

  This thesis considers different aspects of the study of sets that localize spectra and pseudospectra of matrices and matrix polynomials. Given a block upper triangular matrix, the literature has several results for outer ...
• Some classical problems in harmonie analysis 

  Mondal, Shyam Swarup (2023)

  This thesis focuses on certain classical problems in harmonic analysis in connection with mathematical physics. We begin with the Fourier analysis on the Euciidean space, discuss some well known results, basic definitions, ...
• On the penetration and distribution of drugs into biological tissues: A multiscale approach 

  Yadav, Kuldeep Singh (2022)

  In this thesis, a finite volume heterogeneous multiscale method (FV-HMM) is propounded to study drug transport into biological tissues by considering cell scale heterogeneity. The partition coefficient is incorporated in ...
• Local properties of Richardson varieties in symplectic and orthogonal Grassmannians 

  Ray, Papi (2022)

  In a paper by Kodiyalam and Raghavan, they provided an explicit combinatorial description of the Hilbert function of the tangent cone at any point on a Schubert variety in the Grassmannian, by giving a certain “degree-preserving” ...
• (A) Study of Some Parameters in Signed Graphs 

  Deepak (2022)

  Graphs with positive or negative edges are called signed graphs. We denote a signed graph Σ by (G, ϕ), where G is called the underlying graph of Σ and ϕ is a function that assigns +1 or −1 to the edges of G. The set of ...
• Mathematical Modelling of Drug Delivery in Tissue Cells by Electroporation 

  Mondal, Nilay (2022)

  Electroporation method is a useful tool for delivering drugs into various diseased tissues in the human body. In this thesis, mathematical models are developed to demonstrate how to deliver drugs into the diseased cells ...
• Study of Scattering and Trapping of Water Waves in Two-layer Fluids for Various Types of Structure Configurations and Sea-beds 

  Barman, Koushik Kanti (2022)

  The main objeotive of this thesis is to investigate the wave reflection and transmission, forces, wave run-up, and hydrodynamic coefficients due to the presence of two-dimensional and one-dimensional porous structures in ...
• Goeritz Groups of Genus Two and Genus Three Heegaard Splitting of the Three Sphere 

  Panda, Swapnendu (2021)

  In this work, we present a finite generating set (j2 of J-li, the genus-2 Goeritz group of S3, in terms of Dehn twists about certain simple closed curves on the standard Heegaard surface. We present an algorithm that ...
• Expansioins of C-Sets and D-Sets Having Jordan Automorphism Groups and Some Related Questions 

  Ahmed, Shabeena (2002)

  This thesis is about the interplay between permutation groups and some relational structures. Special emphasis is on a class of permutation groups called Jordan groups i which, in some non-degenerated way, the pointwise ...
• Study of Non-local Elliptic Problems Involving Variable Order and Variable Exponents 

  Biswas, Reshmi (2021)

  In the thesis, we study some non-local and nonlinear elliptic equations involving variable order and variable exponents. For studying these problems, we introduce the variable order fractional Sobolev spaces with variable ...
• On the Existence, Uniqueness and Approximate Controllability of Some Classes of Differential Equations With Different Types of Fractional Derivatives 

  Roy, Bandita (2021)

  The research reported in this thesis deals with the analysis of a number of differential equations of fractional order, viz., Cauchy type non-autonomous fractional differential equation, Volterra-Fredholm integro fractional ...
• Spherical Mean On Metivier Groups And Uniqueness Results For Quaternion Weyl Transform 

  Dalai, Rupak Kumar (2022)

  In this thesis, the spherical mean of the metivier group is considered and we characterize the spherical harmonic coefficients of certain functions in terms of polynomial growth by which we infer a support theorem. ...

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