Issues 3-4

Solvability of a Hybrid Model for a Vertical Slender Structure

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Existence results, beam vibration, damping, hybrid model. Abstract: We consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block […]

Detecting Discontinuities in Two-Dimensional Signals Sampled on a Grid

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Edge detection, discontinuities, wavelets, polyharmonic splines. Abstract: In this paper we consider the problem of detecting, from a finite discrete set of points, the curves across which a two-dimensional function is discontinuous. We propose a strategy based on wavelets which allows to discriminate the edge points from points in

An Efficient Scheme for Meshless Analysis Based on Radial Basis Functions

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Partial Differential Equations, Meshless Method, Radial Basis Function, Radial Point Interpolation Abstract: A meshless method based on radial point interpolation was recently developed as an effective tool for solving partial differential equations, and has been widely applied to a number of different problems. In addition to the primary advantage

Energy Drift in the Numerical Integration of Hamiltonian Problems

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Time reversal symmetry, Reversible Hamiltonian systems, Symmetric methods, Periodic orbits, Numerical drift. Authors: Pages: Abstract: When approximating reversible Hamiltonian problems, the presence of a “drift” in the numerical values of the Hamiltonian is sometimes experienced, even when reversible methods of integration are used. In this paper we analyze the

Numerical Solution of Stochastic Differential Equations with Additive Noise by Runge-Kutta Methods

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Stochastic Differential Equations, Additive Noise, Numerical Solution, Runge- Kutta methods Periodic orbits, Numerical drift. Authors: Foivos Xanthos and George Papageorgiou Abstract: In this paper we study the numerical treatment of Stochastic Differential Equations with additive noise and one dimensional Wiener process. We develop two, three and four stage Runge-Kutta

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