Abst rac t A parallel Monte Carlo device simulator, PMC-3D has been developed for multiprocessors. Through the use of parallel architectures, full three dimensional modeling of the device domain is possible. Here a discussion of the parallel algorithm is given for coupling the Monte Carlo particle simulation with Poisson's equation for quasi-static problems, and full Maxwell's equations for ele...

Fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. Micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). It is well known that the structure and prope...

In [5], a pair of dynamic programming inequalities were derived for the ‘separated’ ergodic control problem for partially observed Markov processes, using the ‘vanishing discount’ argument. In this note, we strengthen these results to derive a single dynamic programming equation for the same. 1Research supported in part by a grant for ‘Nonlinear Studies’ from the Indian Space Research Organizat...

Since we convert the original sequential problem into a collection of small problems, it is important to make sure that the solution to each of the small problems is actually optimal in the original problem. In other words, the optimal choice in each of the two-period problem must be globally optimal to justify the transformation. Richard Bellman, the inventor of the dynamic programming method,...

In this paper we present a dynamic programming formulation of a hybrid optimal control problem for bimodal systems with regional dynamics. In particular, based on optimality-zone computations, a framework is presented in which the resulting hybrid Bellman equation guides the design of optimal control programs with, at most, N discrete transitions.

This paper derives the dynamic programming equation (DPE) to a differentiable Markov Perfect equilibrium in a problem with non-constant discounting and general functional forms. Beginning with a discrete stage model and taking the limit as the length of the stage goes to 0 leads to the DPE corresponding to the continuous time problem. The note discusses the multiplicity of equilibria under non-...

The Envelope Theorem is a statement about derivatives along an optimal trajectory. In Dynamic Programming the Envelope Theorem can be used to characterize and compute the Optimal Value Function from its derivatives. We illustrate this here for the Linear-Quadratic Control Problem, the Resource Allocation Problem, and the Inverse Problem of Dynamic Programming.

We develop a new high order accurate time-integration technique for initial value problems. We focus on problems that originate from a space approximation using high order finite difference methods on summation-by-parts form with weak boundary conditions, and extend that technique to the timedomain. The new time-integration method is global, high order accurate, unconditionally stable and toget...

many of nonlinear systems in the field of engineering such as nano-resonator and atomic force microscope can be modeled based on duffing equation. analytical frequency response of this system helps us analyze different interesting nonlinear behaviors appearing in its response due to its rich dynamics. in this paper, the general form of duffing equation with cubic nonlinearity as well as paramet...

Since the conventional electro-mechanical converter of 2D valve had problems of step lose due to its small tooth-pitch angle, a novel rotary electromagnet with large tooth-pitch angle and coreless rotor structure was proposed. Combined with the approaches of magnetic circuit analysis, finite element simulation and experimental study, the static and dynamic characteristics of electromagnet inclu...