A fractal set is a union of many smaller copy of itself and it has a highly irregular structure. Using Hutchinson's operator, Barnsley [6], introduced Fractal Interpolation Function (FIF) via certain Iterated Function ...
The Hilbert-Samuel function measures the length of quotients by powers of an m-primary ideal in a local ring R with maximal ideal m. Samuel showed that this function agrees with a polynomial, called the Hilbert-Samuel ...
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 ...
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 ...
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 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 ...
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 ...
This thesis investigates several models for hepatitis B virus (HBV) infection including the incorporation of the dynamics of intracellular HBV DNA-containing capsids. Firstly, we analyze a model for infected hepatocytes, ...
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 ...
We develop a new framework to obtain computable formulas for s tructured eigenvalue backward errors of matrix polynomials with various structures under some prespec undertake a detailed analysis of structured when the ...
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 ...
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 ...
This work is concerned with higher-order compact (HOC) schemes for convection-diffusion equations in general and incompressible viscos flows in particular. A fully compact and fully higher-order accurate scheme is developed ...
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 ...
This dissertation is concerned with the application of some existing compact finite difference schemes to hitherto unexplored areas and further development of some new higher-order compact (HOC) schemes. A global stability ...
This thesis examines the efficient and important role of additional food in a predator-prey system. In this work, we derive and study a model for two species. The prey population is assumed to be growing logistically in ...
The main objective of this thesis is to investigate the wave forces and hydrodynamic coefficients of two coaxial cylindrical structures in water of finite depth within the framework of linear water wave theory. We consider ...
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 ...