numerical solutions obtained by the meshless local petrov–galerkin (mlpg) method are presented for two-dimensional steady-state heat conduction problems. the mlpg method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. the penalty method is adopted to efficiently enforce the essential boundary co...

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

We give a proof of transient uctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient uctuation relation yields a steady state uctuation relation for driven nonequilibrium systems whose transients relax, producing a unique nonequilibrium steady state....

We consider Boolean dynamics for biological networks where stochasticity is introduced through asynchronous updates. An exact method is given for finding states which can reach a steady state with positive probability, and a method is given for finding states which cannot reach other steady states. The methods are based on computational commutative algebra. The algorithms are applied to dynamic...

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 pape...

This paper deals with the G/G/R machining system consisting of M operating machines as well as S cold standbys. The concepts of balking and reneging are incorporated which make our model more versatile to deal with real time systems. The broken-down machines are sent to repair facilities consisting of R permanent repairmen. The failure times and repair times are generally identical and independ...

in this paper power system model is represented in a new domain that relates to multi-resolution analysis (mra) space. by developing mathematical model of elements in this space using galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. the mathematical formulation and characteristics of new proposed space is expressed. als...

The fluctuation theorem (FT) quantifies the probability of second law violations in small systems over short time scales. While this theorem has been experimentally demonstrated for systems that are perturbed from an initial equilibrium state, there are a number of studies suggesting that the theorem applies asymptotically in the long time limit to systems in a nonequilibrium steady state. The ...

We develop a diffusion approximation for the queue-length stochastic process in the G/GI/n/m queueing model (having a general arrival process, independent and identically distributed service times with a general distribution, n servers, and m extra waiting spaces). We use the steady-state distribution of that diffusion process to obtain approximations for steady-state performance measures of th...