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 […]

Determination of the Heat Transfer Coeficient in the Law of Cooling for Gas-Quenching Systems

Issues 1-2 Volume 02

Date of Online Publication: 14/04/2007 Keywords: heat equation, inverse problem, Newton’s law of cooling, heat transfer coefficient quenching Authors: Sasa Singer Pages: 103-114 Modern technology of heat treatment uses high pressure gas-quenching in different types of furnaces to obtain required properties of treated materials. The flow of thermal energy between the surface of the material

LQR-PID Control Applied to Hexacopter Flight

Issues 3-4 Volume 09-10

A. Alaimo, V. Artale, G. Barbaraci, C.L.R. Milazzo, C. Orlando and A. Ricciardello Kore University of Enna,Faculty of Engineering and Architecture, Cittadella Universitaria – 94100 – Enna andrea.alaimo@unikore.it, valeria.artale@unikore.it, calogero.orlando@unikore.it, cristina.milazzo@unikore.it, angela.ricciardello@unikore.it Abstract: In this paper the mathematical model representing the dynamic of a Unmanned Aerial Vehicle (UAV) is studied in order to analyse its

Exponentially- fitted St�rmer-Verlet methods

Issues 3 Volume 01

Date of Online Publication: 22/12/2006 Keywords: Exponetial fitting, Stormer/Verlet, oscillating problems, Schrodinger equations Authors: G. Vanden Berghe and M. Van Daele Pages: 241-255 Exponentially- fitted St�rmer/Verlet methods are constructed taking into account a six-step flow chart. It is shown that the thus constructed methods, when applied to strongly oscillating problems, are equivalent respectively to Gautschi

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

A Class of Finite Difference Methods for Solving Inhomogeneous Damped Wave Equations

Issues 3-4 Volume 15

FAZEL HADADIFARD, SATBIR MALHI, AND ZHENGYI XIAO Abstract. In this paper, a class of finite difference numerical techniques is presented to solve the second-order linear inhomogeneous damped wave equation. The consistency, stability, and convergences of these numerical schemes are discussed. The results obtained are compared to the exact solution, ordinary explicit, implicit finite difference methods,

Toward a preconditioned scalable 3DVAR for assimilating Sea Surface Temperature collected into the Caspian Sea

Issues 1-2 Volume 12

R. Arcucciab1, L.Carracciuoloc and R.Toumid a: University of Naples Federico II, Naples, Italy b: Euro Mediterranean Center on Climate Change, Italy c: National Research Council, Naples, Italy d: Imperial College London, London, United Kingdom Received 1 February, 2017; accepted in revised form 03 April, 2018 Abstract: Data Assimilation (DA) is an uncertainty quanti cation technique

Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Boundary Value Problems, Mesh Selection, Conditioning Authors: Jeff R. Cash and Francesca Mazzia Pages: 81-90 In this paper we demonstrate how hybrid mesh selection strategies based on conditioning can be used in codes designed for the numerical solution of singularly perturbed boundary value problems. The new mesh selection strategies

Mathematical aspects of optimal layout problem of spent nuclear fuel containers on the storage site

Issues 3-4 Volume 15

Andrii Chugaia, Svitlana Alyokhina a,b, and Andrii Zhuravkab a Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10 Pozharskogo st., Kharkiv 61046, Ukraine, e-mail: alyokhina@ipmach.kharkov.ua b Kharkiv National University of Radioelectronics, 14 Nauky ave., Kharkiv 61166, Ukraine Abstract The paper is concerned to the development of an approach which allow

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