The Petri net has been widely applied to modeling,analysis and synthesis of some complex systems. The paper discusses the methods of calculating the system steady state probability by using the continuous time Stochastic Petri net and discrete time Stochastic Petri net,and the applications in the performance analysis of a command and control system(C 2S). The results show that the method is feasible.
The discrete time approximations of the electron and hole density equations are established by using the Laplace modified forward difference and the characteristic method, and are solved in spaces possessing reproducing kernels.
A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.
The methodology for the Navier-Stokes equations takes advantage of time discretization byàla Marchuk-Yanenko operator splitting in order to treat separately advection, body-imbedding and incompressibility.
The basis of the selection is:1 ) a linear time - discrete controller, 2 ) a limited range of the control variable, 3)an initial deviation which is given in accordance with the practical requirement to the control system.
Continuous time and discrete time Galerkin methods are introduced to approximate the solution and optimalH1 error estimates are obtained.
A system receives shocks at successive random points of discrete time, and each shock causes a positive integer-valued random amount of damage which accumulates on the system one after another.
This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.
Stabilization of Discrete Time-Varying Systems by Output Control
Consideration was given to the linear equation system in continuous discrete time with constant matrices of coefficients which is implicit in the derivative of the continuous component of the desired vector function.
Spatial discretization can be performed by either Galerkin spectral method or nonlinear Galerkin spectral method; time discretization is done by Euler scheme which is explicit or implicit in the nonlinear terms.
We show how the worldline quantum Monte Carlo procedure, which usually relies on an artificial time discretization, can be formulated directly in continuous time, rendering the scheme exact.
An important step of the approximation process is the construction of a time discretization scheme preserving - in some sense - the energy conservation property of the continuous model.
The authors discuss also the finite element approximation and the quasi-Newton solution of the nonlinear elliptic system obtained at each time step from the time discretization.
Interrelation of time discretization interval and amplitude quantization is shown.