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 ...
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 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 ...
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...
The objective of this thesis is to investigate the scattering of a train of small amplitude harmonic surface water waves by small undulation of a sea-bed for both normal and oblique incidence. In this study of scattering, ...
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 ...
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 ...
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, ....
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 ...
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 ...
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 ...
This thesis studies (i) the interaction of water waves with spherical geometries in a two-layer fluid of finite depth, which is covered by either a rigid flat structure or a very thin ice shelf; (ii) the scattering of water ...
The present work is mainly deals with the development of a class of higher-order com- pact (HOC) Dnite di Derence formulations to tackle the circular geometries both for the continuous and discontinuous cases. Depending ...
This thesis provides some efficient numerical techniques for solving time-dependent singularly perturbed problems (SPPs) possessing boundary and interior layers. These types of problems are described by partial differential ...
This thesis studies, both analytically and through numerical experiments, the performance of queueing models with a `working vacation' policy arising naturally in communication systems, especially in wavelength division ...
A polynomial over a finite ring R is called a permutation polynomial of R if it induces a bijection from R to R. Permutation polynomials over finite rings have several applications in combinatorics, coding theory and ...
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 ...
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 study of mixed graph and its Laplacian matrix have gained quite a bit of interest among the researchers. Mixed graphs are very important for the study of graph theory as they provide a setup where one can have directed ...