Time integration schemes with a fixed time step, much smaller than the dominant slow time scales of the dynamics of the system, arise in the context of stiff ordinary differential equations or in multiscale computations, where a microscopic time stepper is used to compute macroscopic behaviour. We discuss a method to accelerate such a time integrator by using extrapolation. This method extends ...

This paper presents an extension of the Motivated Learning model that includes environment masking, and opportunistic behavior of the motivated learning agent. Environment masking improves an agent’s ability to learn by helping to filter out distractions, and the addition of a more complex environment increases the simulation’s realism. If conditions call for it opportunistic behavior allows an...

It has been argued that personality features, such as temperament or traits, possess a certain level of developmental stability (Thomson, Winer & Goodwin, 2011). In this review, attempts are made to explain why temperament may, or may not, remain stable over time by addressing the influence of genetic, environmental and cultural factors on temperament and the interaction between such influences...

Abstract In order to model the tail of a distribution, one has to define the threshold above or below which an extreme value model produces a suitable fit. Parameter stability plots, whereby one plots maximum likelihood estimates of supposedly threshold-independent parameters against threshold, form one of the main tools for threshold selection by practitioners, principally due to their simplic...

Light-induced forces can bind dielectric spheres into extended structures through two mechanisms, each with its own length scale which can be adjusted by the configuration of the external light source. By manipulating the commensurability of the two length scales, these two mechanisms can cooperate to bind a large number of spheres. When the two length scales become incommensurate for some part...

In this paper, we introduce a time-limited balanced reduction method based on time-domain representations of the system gramians. The method guarantees stability and yields a simple 71, ermr bound. A numerical example is illustrated to examine the efficiency of the proposed method.

L.T. Tunc , E. Budak * Sabanci University, Faculty of Engineering and Natural Sciences, Istanbul-Turkiye * [email protected] Abstract 5-axis milling is widely used in machining of complex surfaces such as airfoils. Improper selection of machining parameters may cause low productivity and undesired results during machining. There are several constraints such as available power and torque, c...

we are concerned with the development of a k−step method for the numerical solution of fuzzy initial value problems. convergence and stability of the method are also proved in detail. moreover, a specific method of order 4 is found. the numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...