J. Kralik, J. Kralik, jr. and P. Rosko Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 810 05 Bratislava, Slovakia and Centre of Mechanics and Structural Dynamics 1010 Vienna University of Technology Vienna, Austria Received 01/03/2020, Revised 21/07/2020, Accepted 30/10/2020 Abstract: This paper describes some experiences from the deterministic and probabilistic analysis of […]

Luigi Brugnano and Alessandra Sestini Dipartimento di Matematica “U. Dini” Viale Morgagni 67/A, 50134 Firenze, Italy Dedicated to Prof. D. Trigiante on the occasion of his 65th birthday. Received 16 December, 2009; accepted in revised form 24 September, 2011 Abstract: We investigate the use of piecewise linear systems, whose coefficient matrix is a piecewise constant

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,

Date of Online Publication: 31/03/2008 Keywords: Ordinary differential equations; initial value problems; numerical differential, equations; numerical integration; extrapolation methods; rounding error accumulation; NDSolve Authors: Mark Sofroniou, Giulia Spaletta Pages: 105-121 This article outlines design and implementation details of the framework for one step methods for solving ordinary differential equations in Mathematica. The solver breaks up

Keywords: Linear differential systems, time window, spectral approximation, waveform relaxation. Abstract: We establish a relation between the length T of the integration window of a linear differential equation x’+Ax = b and a spectral parameter s*. This parameter is determined by comparing the exact solution x(T) at the end of the integration window to the

Beny Neta * Naval Postgraduate School Department of Applied Mathematics Monterey, CA 93943 e-mail: bneta@nps.edu, Tel: 1-831-656-2235, Fax: 1-831-656-2355 Received 01/02/2020, Revised 10/12/2020, Accepted 02/03/2021 Abstract: A new trigonometrically-fitted method of order 12 is developed and compared to an existing P-stable method of the same order. Our method fit exactly the sine and cosines functions

O. Ozturk Department of Mathematics, Faculty of Arts and Sciences, Bitlis Eren University, 13000 Bitlis, Turkey Received 10 October, 2016; accepted in revised form 22 March, 2018 Abstract: Fractional calculus and its generalizations are used for the solutions of some classes of differential equations and fractional differential equations. In this paper, our aim is to

Abstract: The characterizations of B-series of symplectic and energy preserving integrators are well-known. The graded Lie algebra of B-series of modified vector fields include the Hamiltonian and energy preserving cases as Lie subalgebras, these spaces are relatively well understood. However, two other important classes are the integrators which are conjugate to Hamiltonian and energy preserving

Vasileios Chatziioannou1 1Department of Music Acoustics, University of Music and Performing Arts Vienna, Austria Received: 22 August 2017 ; Accepted in revised form: 22 January 2020 Abstract: Energy methods for constructing time-stepping algorithms are of increased in- terest in application to nonlinear problems, since numerical stability can be inferred from the conservation of the system