The main objective of this thesis is to derive a posteriori error estimates for nite element
discretizations of optimal control problems governed by parabolic partial di erential equations. Both distributed and boundary ...
The primary goal of the thesis is to study class number of the ring of integers of a number field and related arithmetical properties. The first part of the thesis provides a solution to a classical problem posed by ...
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 ...
The primary objective of the thesis titled “A Study of Torsion of Elliptic Curves and Fundamental Units over Number Fields” is to study the torsion subgroup of elliptic curves over certain quadratic number fields and to ...
Study of dynamical systems with discontinuous trajectories or with impulse effect, is one of the most exciting subjects due to its extensive applications in realistic mathematical modeling of a wide variety of practical ...
The thesis aims at studying various structural properties of affine near-semirings over Brandt semigroups. The study considers various aspects, viz. semigroup theoretic properties, ring theoretic properties and formal ...
Motivated by the applications in facility location, VLSI design, image processing and motion planning, geometric covering problems have been studied extensively in the literature. In this thesis various geometric covering ...
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 ...
This thesis presents the derivation of general analytical solutions of the transient stor- age model and also of the diDusive transfer model for the longitudinal solute transport in streams with transient storage and ...
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. ...
Dominating set and its variants have been studied extensively in the literature and are of broad and current research interest to many researchers due to its wide range of applications, including, but not limited to, ...
Dominating set and its variants have been studied extensively in the literature and are of broad and current research interest to many researchers due to its wide range of applications, including, but not limited to, ...
Coverage is one of the most important issues in wireless sensor networks (WSNs) and it is a well studied research area. To ensure coverage, a set of sensors continuously monitor the subject to be covered. Sweep coverage ...
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 ...
The main theme of the thesis is structured perturbation and sensitivity analysis of structured polynomial eigenvalue problem. Structured mapping problem naturally arises when analyzing structured backward per- turbation ...
This thesis aims at filling some conspicuous gaps in the study of spectra of unicyclic graphs, and answering some recent questions on relations between the structure of a unicyclic graph and the spectrum of its adjacency matrix...
A real square matrix A is said to be algebraically positive if there exists a real polynomial f such that f (A) is a positive matrix. We prove that, a real square matrix is algebraically positive if and only if it commutes ...
The work is mainly concerned with the development of compact finite difference formulations for the biharmonic equation in irregular geometries. We specifically focus our attention towards the computation of solutions of ...
A positive integer n is called a congruent number if it is equal to the area of a right
triangle with rational sides. Determining whether a given positive number is congruent
or not is known as the congruent number ...