In this chapter, we propose a general framework for deriving efficient (polynomial-time) algorithms for steady-state scheduling. In the context of large scale platforms (grids or volunteer computing platforms), we show that the characteristics of the resources (volatility, heterogeneity) limit their use to large regular applications. Therefore, steady-state scheduling, that consists in optimizi...

The mathematical physics of mechanical systems in thermal equilibrium is a well studied, and relatively easy, subject, because the Gibbs distribution is in general an adequate guess for the equilibrium state. On the other hand, the mathematical physics of non-equilibrium systems, such as that of a chain of masses connected with springs to two (infinite) heat reservoirs is more difficult, precis...

In this paper a new approach for the steady state Kalman Filter implementation is proposed. The method is faster than the classical one; this is very important due to the fact that, in most real-time applications, it is essential to obtain the estimate in the shortest possible time.

The classical water wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η depends upon the two horizonta...

magnetic field effect on unsteady natural convection heat transfer of cu–water nanofluid in a square porous cavity was studied numerically in here. at first, initial temprature of the cavity was and vertical walls were at temprature . suddenly the right wall's tamprature was changed to and the horizontal walls were adiabatic. the effective parameters in this study were ra , ha, and . which appe...

abstract t he return of capital is fundamental to the intertemporal allocation of resources by changing the consumption behavior and capital accumulation over time. taxation on return of capital increases the marginal product of capital, meaning that capital stock is lower than when capital is not taxed, which results decreased growth and welfare in steady state. this paper studies the impact o...

This paper studies the nonlinear vibration analysis of a simply supported Euler-Bernoulli beam resting on a nonlinear elastic foundation under compressive axial load using nonlinear normal modes concept in the case of three-to-one (3:1) internal resonance. The beam’s governing nonlinear PDE of motion and also its boundary conditions are derived and then solved using the method of Multiple Time ...