Reconfiguration is the action of modifying the operation or behaviour of a system, a network node, or functional entity. The end-to-end notion dictates that, in certain cases, control and management plane interactions may occur from source to destination in order to adapt the system, the equipment, the application, the service, or the content. This paper describes an integrated control and mana...

Stability analysis of the BDF slowest first multirate methods This paper deals with the stability analysis of the BDF Slowest first multirate time-integration methods which are applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled. Index 1. Introduction 1.1. Partition of th...

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An interpolation based non-conforming spectral element atmospheric model is described. The error norms for a standard test problem are compared against uniform resolution results. Preliminary results for an adaptive mesh refinement strategy are reported. To avoid local time-stepping, a nonlinear variant of operator integration factor splitting has been implemented. A backward differentiation fo...

Both the porous medium equation and the system of isentropic Euler equations can be considered as steepest descents on suitable manifolds of probability measures in the framework of optimal transport theory. By discretizing these variational characterizations instead of the partial differential equations themselves, we obtain new schemes with remarkable stability properties. We show that they c...

The aim of this study will be to design Parallel solver (PS) for oscillatory stiff systems ordinary differential equations (ODEs). PS constructed via a type specially transformed exponentially fitted multinomial approximant in accordance with the behaviour solution. method interpolation and collocation utilized. principal local truncation errors used derive suitable step size decide error toler...

D03PFF integrates a system of linear or nonlinear convection-diffusion equations in one space dimension, with optional source terms. The system must be posed in conservative form. Convection terms are discretized using a sophisticated upwind scheme involving a user-supplied numerical flux function based on the solution of a Riemann problem at each mesh point. The method of lines is employed to ...

A comparison between different numerical methods which are used to solve cross flow model in multicomponent membrane gas separation is studied. Considering cross flow model, numerical methods such as Bogacki-Shampine method, Dormand-Prince method, Adams-Bashforth-Moulton method, numerical differentiation formulas, modified Rosenbrock formula of order 2, Trapezoidal rule with free interpolant an...

Semi-implicit multistep methods are an efficient tool for solving large-scale ODE systems. This recently emerged technique is based on modified Adams–Bashforth–Moulton (ABM) methods. In this paper, we introduce new semi-explicit and semi-implicit predictor–corrector the backward differentiation formula Adams–Bashforth We provide a thorough study of numerical stability performance compare their ...