In this paper, we introduce the convergence analysis of the fixed pivot technique given by S. Kumar and Ramkrishna [22] for the nonlinear aggregation population balance equations which are of substantial interest in many areas of science: colloid chemistry, aerosol physics, astrophysics, polymer science, oil recovery dynamics, and mathematical biology. In particular, we investigate the converge...

Uniform convergence analysis of an upwind nite-diierence approximation of a convection-diiusion boundary value problem on an adaptive grid. We derive an-uniform error estimate for the rst-order upwind discretisation of a model convection-diiusion boundary value problem on a non-uniform grid. Here, is the small parameter multiplying the highest derivative term. The grid is suggested by the equid...

We obtain a characterization of the completion of an initial uniform convergence structure, which includes, among others, subspaces and projective limits of uniform convergence spaces. In this regard, there seems to be a gap in the literature. This characterization is obtained in a surprisingly straightforward way, and this should be viewed as a consequence of the fact that the category UCS of ...

We investigate necessary and sufficient conditions for the convergence of attractors of discrete time dynamical systems induced by numerical one–step approximations of ordinary differential equations (ODEs) to an attractor for the approximated ODE. We show that both the existence of uniform attraction rates (i.e., uniform speed of convergence towards the attractors) and uniform robustness with ...

Semiuniform convergence spaces form a common generalization of lter spaces (including symmetric convergence spaces and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many convenient properties such as cartesian closedness, hereditariness and the fact that products of quotients are quotients. Here, for each semiuniform conver...

The paper deals with the convergence analysis of the cell average technique given by J. Kumar et al. [3] to solve the nonlinear aggregation population balance equations. Similarly to our previous paper Giri et al. [1], which considered the fixed pivot technique, the main emphasis here is to check the convergence for five different types of uniform and non-uniform meshes. First, we observed that...

In the present study we introduce uniform statistical convergence for double sequences. We present a decomposition theorem that characterizes uniform statistical convergence for double sequences. 2000 Mathematics Subject Classification: 40B05; 40G15

In this study, we introduce the notion of pointwise and uniform statistical convergence of double sequences of real-valued functions. We also give the relations between these convergences and pointwise,uniform convergence. Furthermore, we introduce the concept of statistically Cauchy sequence and study statistical analogue of convergence and Cauchy criterion for double sequences of real-valued ...

A few of the algebraic and topological properties of intutionistic fuzzy continuity and uniformly intutionistic fuzzy continuity are investigated. Also, the concept of uniformly intutionistic fuzzy convergence is introduced thereafter a few results on uniformly intutionistic fuzzy convergence are studied.