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Now showing items 1-5 of 5

Stability and Convergence Analysis of a One Step Approximation of a Linear Partial Integro-Differential Equation

Bhowmik, Samir Kumar (Wiley Inter Science, 2010-01-21)

We study a linear partial integro-differential equation which arises in the modeling of various physical and biological sciences.We analyze numerical stability and numerical convergence of a one step approximation of the ...
Numerical approximation of a convolution model of ˙ θ-neuron networks

Bhowmik, Samir Kumar (Elsevier, 2010-12-22)

In this article, we consider a nonlinear integro-differential equation that arises in a ˙ θ-neural networks modeling. We analyze boundedness and invertibility of the model operator, construct approximate solutions using ...
Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations

Bhowmik, Samir K.; Stolk, Christiaan C. (Springerlink, 2011-02-17)

We investigate the application of windowed Fourier frames to the numerical solution of partial differential equations, focussing on elliptic equations. The action of a partial differential operator (PDO) on a windowed plane ...
Finite to Infinite Steady State Solutions, Bifurcations of an Integro-Differential Equation

Bhowmik, Samir K.; Duncan, Dugald B.; Grinfeld, Michael; Lord, Gabriel J. (Discrete and Continuous Dynamical Systems Series, 2011-07)

We consider a bistable integral equation which governs the sta- tionary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the ...
Numerical convergence of a one step approximation of an integro-differential equation

Bhowmik, Samir Kumar (Elsevier, 2012-08-17)

We consider a linear partial integro-differential equation that arises in modeling various physical and biological processes. We study the problem in a spatial periodic domain. We analyze numerical stability and numerical ...

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