Yu.E. Gorbachev 1 , E.G. Kolesnichenko 2 1Research Department, Coddan Technologies LLC, 197342 St. Petersburg, Russia 2Gas Kinetics Lab, Moscow State University, Institute for Mechanics, 117192 Moscow, Russia Abstract: One of the main problems of the non-equilibrium physical-chemical gas-dynamics is considered: derivation of gas-dynamics equations for reactive gas mixtures. By non- equilibrium effects we mean […]
Date of Online Publication: 31/03/2008 Keywords: MOL, Method of Lines Authors: R. Knapp Pages: 43-59 Mathematica’s NDSolve command includes a general solver for partial differential equations based on the method of lines. Starting from a symbolic expression for the PDE a symbolic general representation of the spatial discretization is constructed which is finalized once the
A.V. Grigorev1, P.N. Vabishchevich2 Department of Compututational Technologies, Institute of Mathematics and Informatics, M.K. Ammosova North-Eastern Federal University, Yakutsk, Russia Received 7 December, 2020 Abstract: A two-level approach is considered for numerical modeling of the blood flow in the liver-lobule system in this work. Within the framework of this approach it is proposed to apply
Date of Online Publication: 26/08/2006 Keywords: MIRK, Runge Kutta, ODE, Boundary Value Problem, Lobatto Formulae, Obrechkoff Formulae Authors: S. D. Capper, J. R. Cash and D. R. Moore Pages: 13-25 A substantial increase in efficiency may be obtained by numerical integration methods which take advantage of the special second order forms or in systems of
Date of Online Publication: 27/10/2007 Keywords: Singular perturbation problem; asymptotic analysis; finite difference methods Authors: Kailash C. Patidar and Albert Shikongo Pages: 193-207 This paper deals with the design and implementation of some appropriate numerical methods for a model singularly perturbed differential equation. To adapt the local abrupt changes of the solution, we consider a
Date of Online Publication: 27/10/2007 Keywords: Collision, Contact-Force Model, Granular Material, Viscoelastic Particle Authors: M.H. Bordbar, T. Hypp�nen Pages: 115-128 An accurate new contact force model is proposed for describing the grain collision process. The linear and nonlinear contact force models and normal coefficient of restitution in different impact velocities has been studied. A new
Pierluigi Amodio2, Giuseppina Settanni3 Dipartimento di Matematica, Universit`a di Bari, I-70125 Bari, Italy Received 22 February, 2010; accepted in revised form 13 April, 2010 Abstract: The numerical solution of second order ordinary differential equations with initial conditions is here approached by approximating each derivative by means of a set of finite difference schemes of high
Yu.E. Chamchiyan, V.N. Kovalnogov, R.V. Fedorov Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia Received: 03/09/2020, Revised: 15/10/2020, Accepted: 08/12/2020 Abstract: The heat engineering characteristics of external enclosing structures and their influence on the microclimate of the building are analyzed. Potential spheres in the field of
Robert D. Skeel2 Department of Computer Science, Purdue University, West Lafayette, Indiana 47907-2107, U.S.A. Received 26 February, 2010; accepted in revised form 11 May, 2010 Abstract: Markov chain Monte Carlo methods are very popular for computing expectations. Their efficiency and reliability are subject to two significant drawbacks. The first is the correlation between successive samples.
Date of Online Publication: 26/08/2006 Keywords: Conservative vector elds, Hamiltonian systems, symplecticity, symmetric methods Authors: Felice Iavernaro and Donato Trigiante Pages: 113-130 The use of symmetric schemes has revealed interesting stability properties for the long time simulation of conservative, and in particular Hamiltonian systems. By using one of the simplest symmetric formulae, namely the trapezoidal