This thesis aims at giving an axiomatization for the operation of if-then-else over algebras of non-halting programs and non-halting tests, and further, makes use of this axiomatization to study structural properties of ...
The central theme of our work is to investigate Iwasawa invariants associated with elliptic curves and p-adic measures. Iwasawa D- and D-invariants of an elliptic curve contain valuable information about the curve. On the ...
In this thesis, free surface flows are investigated under various considerations. We investigate sloshing problems for different configurations and try to solve them such that the unfavourable effect of sloshing on stability ...
Breakwaters and wave absorbers are structures constructed in the coastal areas to protect harbours, inlets and beaches by attenuating incoming wave energy. Different types of breakwaters can be constructed such as caisson ...
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 ...
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 ...
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 ...
Passport option is a financial derivative with the contingent claim being dependent on the value of a trading account. The valuation of the passport option can be obtained through the solution of a nonlinear backward pricing ...
This thesis investigates problems concerned with Approximate Parameterized String Matching (APSM) under Hamming distance error model and related problems in graph theory. We introduce a term called error class in APSM ...
The thesis aims at a further study on matrix completion problems -- a concept that was initiated by Burg to study the positive definite matrices and studied by a number of researchers conspiratorially for several classes ...
Consider an undirected graph G in which a robot is placed at a vertex, say u, and obstacles are placed at all other vertices except at vertex v. The vertex without a robot or an obstacle is said to have a hole. We refer ...
This dissertation deals mainly with analyzing and characterizing certain classes of matrices, non-negative matrices and generalizations of M-matrices. More speci cally, this involves a detailed study of the structure of ...
The purpose of the present work is to study the convergence of H1-Galerkin mixed Dnite element method for the linear parabolic partial diDerential equations. The emphasis is on the theoretical aspects of such methods. An ...
The study of graph structures via different properties of its adjacency matrix is a widely studied subjects. Sometimes different structural properties of a graph get characterized by different properties of the eigenvalues ...
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 ...
A string is a finite or infinite sequence of letters drawn from an alphabet. A string v is said to be factor of another string s if there exists strings u and w such that s = uvw. of This thesis investigates properties of ...
Throughout all graphs are assumed to be simple. Let A(G) and L(G) denote the adjacency and the Laplacian matrix corresponding to a graph G, respectively. The second smallest eigen- value of L(G) is called the algebraic ...
Our aim was to study the relation between the derived length of the group of units in a group algebra of a finite group over a field of positive characteristic and the commutativity of the group. We have mostly studied ...
This thesis provides some efficient numerical techniques for solving singularly perturbed convectiondiffusion boundary-value problems exhibiting boundary layers. These singular perturbation problems (SPPs) are described ...
The primary interest of this thesis is to provide some efficient numerical techniques for solving singularly perturbed delay parabolic initial-boundary-value problems (IBVPs) in one and two-dimensions. These types of ...