Abstract: Algorithm-based computers are programmed, i.e., there must be a set of rules which, a priori, characterize the calculation that is implemented by the computer. Neural computation, based on neural networks, solve problems by learning, they absorb experience, and modify their internal structure in order to accomplish a given task. In the learning process, the […]
Keywords: Linear Multistep Methods, Boundary Value Methods, Conditioning, Vandermonde matrix, Bernstein polynomials, Bjork-Pereyra algorithm Abstract: The numerical solution of Boundary Value Problems usually requires the use of an adaptive mesh selection strategy. For this reason, when a Linear Multistep Method is considered, a dynamic computation of its coeffcients is necessary. This leads to solve linear
Keywords: Helly’s theorem; set of width; set of constant width Mathematics Subject Classifcation: 52A01 Abstract: In this paper, we prove that, for a given positive number d, if every n + 1 of a collection of compact convex sets in IEn contain a set of width d (a set of constant width d, respectively) simultaneously,
Keywords: nodal splines, singular integral equations Abstract: In this paper we introduce a nodal spline collocation method for the numerical solution of Cauchy singular integral equations. Uniform error bounds of the approximate solution are provided and some numerical examples are presented. Download PDF
Keywords: circular cylinder, wall-mounted, LES, DES, imaging measurements Abstract: Numerical simulations of the turbulent separated flow around a wall-mounted finite cylinder were performed in order to assess the predictive accuracy of the methods for the unsteady flow field at high Reynolds number. While the results obtained from Large-Eddy Simulation show only minor diferences to experiments,
Keywords: Backward Difference Formula; Circuit simulation; Differential-algebraic equations; Discretization error; Multirate; Numerical time integration; Partitioning; Transient analysis Abstract: Transient analysis is an important circuit simulation technique. The circuit model, which is a system of differential-algebraic equations, is solved for a given initial condition using numerical time integration techniques. Multirate methods are efficient if the dynamical
Keywords: predator-prey model, equilibria, stochastic diferential equation, stochastic stability. Abstract: We develop a mathematical model for understanding the e ect of wanderer spiders as biological controllers of the insects infesting vineyards, thus accounting also for the role played by residual wood and green patches as spiders habitat in the otherwise homogeneuous landscape of the Langhe
Keywords: fundamental solution method, periodic plane elasticity Abstract: We present a fundamental solution method for elasticity problems of planes with one-dimensional periodic structure, to which it is difficult to apply the conventional fundamental solution method. We propose an approximate solution of the fundamental solution method which is modi ed so that it is suitable to