• Appell series over finite fields and Gaussian hypergeometric series 

  Tripathi, Mohit (2021)

  In this thesis we study classical hypergeometric series and Appell series over finite fields, and find finite field analogues of several product and summation formulas satisfied by the classical hypergeometric series. ...
• Some problems on exponential sums 

  Bag, Nilanjan (2020)

  The central theme of this thesis is to study the moments of certain exponential sums, which we primarily capture by some asymptotic formulas. Our results are conceptual advancements to previously known methods and results ...
• Dynamics of certain one-parameter and two-parameter families of transcendental functions 

  Bera, Madhusudan (2019)

  In the Ph.D thesis, we investigated the dynamics of some one-parameter and two-parameter family of transcendental functions.In Chapter 2, for b 1, the dynamics of function in the two-parameter family , { ( ) z z for : , ...
• Deterministic and Stochastic Analysis of HCV Dynamics with Humoral Immune Response 

  Pan, Sonjoy (2020)

  In this thesis, a mathematical model for HCV dynamics incorporating various aspects such as virus-to-cell as well as cell-to-cell transmission and non-cytolytic cure rate with the role of B cells in the activation of the ...
• Linearizations and Distance Problems Associated with Matrix Polynomials. 

  Das, Biswajit (2020)

  Four different aspects of the study of matrix polynomials are considered in this thesis. Firstly, the vector space based study of linearizations of square regular matrix polynomials undertaken by Mackey et al. (Vector ...
• HOC approach to the dynamics of waves in excitable media 

  Devanand (2020)

  This work is concerned with the High Order Compact (HOC) simulation of spiral waves in excitable media in general and study of spiral wave dynamics in particular. An existing unconditionally stable, O(ℎ4,(Δ𝑡)2) implicit ...
• Two-scale composite finite element method for parabolic problems in convex and nonconvex polygonal domains 

  Pramanick, Tamal (2019)

  The main objective of this thesis is to study a priori error analysis of the two-scale com- posite finite element (CFE) method for parabolic initial-boundary value problems (IBVPs) in two-dimensional convex and nonconvex ...
• Finite element methods for elliptic and parabolic optimal control problems with measure data 

  Shakya, Pratibha (2018)

  The aim of this thesis is to study a priori and a posteriori error analysis of nite element methods for elliptic and parabolic optimal control problems with measure data in a bounded convex domain in Rd(d = 2 or 3). The ...
• Study on fractal interpolation in shape preserving and in numerical methods for ordinary differential equations 

  Balasubramani, N (2019)

  Interpolation is an essential tool to approximate the unknown function from its samples. Many situations, when data arises from various complex phenomena, the data exhibits irregularity. Giving smooth approximation for ...
• Geometric analysis of spectral stability of matrices and operators 

  Bora, Shreemayee (2001)

  In this thesis, an attempt is made to undertake a systematic analysis of the sensitivity of eigen systems in the natural geometric framework of the spectral portraits of the matrices. The e-spectra and the spectral portraits ...
• Multi-scale analysis of solute transport in steady and oscillatory flows with boundary reactions 

  Barik, Swarup (2019)

  Transport of a solute through a flowing solvent has several important applications in diverse fields, such as biology, chemistry, chromatography, environment fluid mechanics etc. Study of the transverse concentration ...
• Mathematical study of controlled release drug delivery to biological tissues 

  Chakravarty, Koyel (2018)

  Studies on controlled drug release and drug transport are important in the realm of pharmacokinetics for the development of medical treatment. Pharmacotherapy using medicines differs considerably from many other classical ...
• Analysis of robust computational techniques for singularly perturbed system of parabolic partial differential equations 

  Singh, Maneesh Kumar (2018)

  In this thesis, our primary interest is to provide some uniformly convergent computational techniques for solving singularly perturbed system of parabolic initial-boundary-value problems (IBVPs) of convection-diffusion and ...
• Study of primitive and pseudo-bordered partial words 

  Nayak, Ananda Chandra (2019)

  The area of Combinatorics on words is a theoretical development of Discrete Mathematics and Theoretical Computer Science. It has numerous application across several areas including the field of coding theory, formal language ...
• Strong linearizations of polynomial and rational matrices and recovery of spectral data 

  Das, Ranjan Kumar (2019)

  Linearization is a classical technique widely used to deal with matrix polynomial. The main purpose of the thesis is to construct and analyze strong linearizations of polynomial and rational matrices. The first part of the ...
• On the module of derivations of certain rings 

  Dey, Arindam (2019)

  The goal of this thesis is to study module of derivations of certain rings of invariants and of certain hypersurface rings. The thesis is divided into two parts.In the rst part we study module of derivarions of ring of ...
• Arithmetic properties of certain partition functions and modular forms 

  Ray, Chiranjit (2019)

  This thesis studies arithmetic properties of `-regular overpartitions, Andrews' singular overpartitions, overpartitions into odd parts, cubic and overcubic partition pairs, and Andrews' integer partitions with even parts ...
• Statistical inferences on different types of Bivariate Pareto distributions 

  Paul, Biplab (2019)

  In this thesis work, we discuss di erent types of Marshal-Olkin form of bivariate Pareto distribu- tion. We use EM algorithm and Bayesian estimation through slice cum Gibbs sampler to estimate the parameters. The thesis ...
• Robust numerical methods for singularly perturbed parabolic PDEs with interior and boundary layers 

  Majumdar, Anirban (2017)

  This thesis provides some uniformly convergent numerical methods for solving singularly perturbed convection-diffusion problems with boundary or/and interior layers. A differential equation becomes singularly perturbed ...
• Connectedness and spectral properties of power graphs of finite groups 

  Panda, Ramesh Prasad (2018)

  The power graph of a group G is the graph whose vertex set is G and two distinct vertices are adjacent if one is a power of the other. In this thesis, a study on connectedness, structural and spectral properties of power ...

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