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 ...
Definite and definitizable pencils and hyperbolic, quasihyperbolic and definite polynomi- als are Hermitian matrix polynomials with real eigenvalues of definite type that arise in many applications in science and engineering. ...
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, ...
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 ...
Let f : C ---- C = C U {00} be a non-constant transcendendental entrie or meromorphic function. The function f Xn ,the n-times composition of f is called the n-th it-crate of f . The Fatou set of the function f, ....
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 : , ...
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 ...
The primary aim of this thesis is to develop a framework for direct methods for solutions of rational eigenvalue problems. To achieve this goal, we propose to reformulate the problem of solving a rational eigenvalue problem ...
The main objective of this thesis is to study the convergence of finite element solutions to the exact solutions of elliptic and parabolic interface problems by means of classical finite element method. Due to low global ...
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 ...
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 ...
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 ...
The thesis is aimed to modify an already existing higher order compact (HOC) finite difference scheme to enhance its applicability and robustness. To examine the robustness of the proposed scheme, it is applied to lid-driven ...
In this dissertation, we have proposed a new class of higher order compact (HOC) finite difference schemes for solving the two-dimensional (2D) incompressible viscous flows through geometries beyond rectangular. The proposed ...
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 ...
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 ...
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 ...
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 ...