In this work, different standard and non-standard continualization methods are applied to an anisotropic membrane lattice obtain non-classical continuum models, capable of accurately capturing its dynamic behaviour. Their performance is evaluated by comparing the discrete models through their dispersion relations, as well natural frequencies for fixed-edge configuration. Moreover, occurrence ce...

This study presents an alternative interpretation for Northern Hemisphere teleconnection patterns. Rather than comprising several different recurrent regimes, this study suggests that there is a continuum of teleconnection patterns. This interpretation indicates either that 1) all members of the continuum can be expressed in terms of a linear combination of a small number of real physical modes...

Due to considerable stored energy in surfaces of nano-scales in comparison with the stored energy in their bulk, considering the surface energy is necessary for the analysis of various behaviors of nano-scales for more precise design and manufacturing. In this article, the longitudinal dynamic behavior of nanobars in the presence of the surface energy parameters is studied. To this end, the lon...

ISSN: 1070-5511 (Print) 1532-8007 (Online) Journal homepage: http://www.tandfonline.com/loi/hsem20 Dynamic Structural Equation Models Tihomir Asparouhov, Ellen L. Hamaker & Bengt Muthén To cite this article: Tihomir Asparouhov, Ellen L. Hamaker & Bengt Muthén (2017): Dynamic Structural Equation Models, Structural Equation Modeling: A Multidisciplinary Journal To link to this article: https://do...

We present a simple method for calculating a continuum temperature field directly from a molecular dynamics (MD) simulation. Using the idea of a projection matrix previously developed for use in the bridging scale, we derive a continuum temperature equation which only requires information that is readily available from MD simulations, namely the MD velocity, atomic masses and Boltzmann constant...

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.