T.V. Karpukhina1, V.N. Kovalnogov1,2, M.S. Boyarkin1 1Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, SevernyVenets Street 32, 432027 Ulyanovsk, Russian Federation 2Scientific and Educational Center “Digital Industry”, South Ural State University, 76 Lenin Ave., 454080 Chelyabinsk, Russian Federation Received 10 March, 2020; Accepted in revised form 23 March, 2020 Abstract The […]

V. Ruas, A.P. Brasil, J.H. Carneiro de Araujo Received 14 December, 2010; accepted in revised form 25 April, 2012 Abstract: A three-field finite element scheme designed for solving systems of partial dif- ferential equations governing stationary viscoelastic flows is studied. It is based on the simulation of a time-dependent behavior. Once a classical time-discretization is

Date of Online Publication: 31/03/2008 Keywords: Maple, C, Code Conversion, Code Optimization Authors: Allan Wittkopf Pages: 167-180 In this article we discuss the advantages (and pitfalls) in developing code optimization and Maple to C conversion programs for Maple procedures, specifically those required for numerical differential equation solution. Special treatment related to code optimization for large

Date of Online Publication: 31/03/2008 Keywords: Differential algebraic equations (DAEs), structural analysis, Taylor series, automatic differentiation Authors: Nedialko S. Nedialkov, Nedialko S. Nedialkov Pages: 61-80 The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high index, high order, nonlinear, and fully implicit,

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

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

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