High Order Finite Difference Schemes for the Solution of Second Order Initial Value Problems

Issues 1-2 Volume 05

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 […]

Numerical Simulation and Investigation of the Influence of the Characteristics of the Building Envelope on Energy Efficiency and Energy Saving Potential

Issues 1-2 Volume 15

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

Towards a Definition of Equilibration for Markov Chains

Issues 1-2 Volume 05

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.

Discrete Conservative Vector Fields Induced by the Trapezoidal Method

Issues 1-2 Volume 01

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

30 Years of Newest Vertex Bisection

Issues 1-2 Volume 11

William F. Mitchell Applied and Computational Mathematics Division National Institute of Standards and Technology Gaithersburg, MD, USA 20899-8910 Abstract: One aspect of adaptive mesh refinement in the finite element method for solving partial differential equations is the method by which elements are refined. In the early 1980’s the dominant method for refining triangles was the

Barycentric Hermite Interpolants for Event Location in Initial-Value Problems

Issues 1-2 Volume 03

Date of Online Publication: 31/03/2008 Keywords: Initial-value problem, ordinary differential equation, event location, root-finding, generalized eigenvalues, companion matrix pencil, Hermite interpolation problem,B�zout matrix Authors: Robert M. Corless, Azar Shakoori, D.A. Aruliah, Laureano Gonzalez-Vega Pages: 1-16 Continuous extensions are now routinely provided by many IVP solvers, for graphical output, error control, or event location. Recent developments

Computing on Virtual Slow Manifolds of Fast Stochastic Systems

Issues 1-2 Volume 05

C. W. Gear,2 D. Givon and I. G. Kevrekidis Department of Chemical Engineering, Princeton University, Princeton, NJ, USA Received 10 January, 2010; accepted in revised form 20 March, 2010 Abstract: The persistently fast evolutionary behavior of certain differential systems may have intrinsically slow features. We consider systems whose solution trajectories are slowly changing distributions and

Modelling Environmental In uences on Wanderer Spiders in the Langhe Region (Piemonte { NW Italy)

Issues 3-4 Volume 03

Keywords: predator-prey model, equilibria, stochastic diferential equation, stochastic stability. Abstract: We develop a mathematical model for understanding the e ect of wanderer spiders as biological controllers of the insects infesting vineyards, thus accounting also for the role played by residual wood and green patches as spiders habitat in the otherwise homogeneuous landscape of the Langhe

The New MATLAB Code bvpsuite for the Solution of Singular Implicit BVPs1

Issues 1-2 Volume 05

G. Kitzhofer, O. Koch, G. Pulverer, Ch. Simon, and E.B. Weinm�uller2 Institute for Analysis and Scientific Computing (E101), Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria Received 21 January, 2010; accepted in revised form 23 March, 2010 Abstract: Our aim is to provide the open domain MATLAB code bvpsuite for the efficient numerical

Effect of Fluid in the Moving Container

Issues 1-2 Volume 13

K. Kotrasova and E. Kormanikova Department of Structural Mechanics, Institute of Structural Engineering, Civil Engineering Faculty, Technical University of Ko?ice, 04200 Kosice, Slovakia Received 31 January, 2019; accepted in revised form 18 March, 2019 Abstract: When a rectangular tank contained liquid vibrates, the liquid exerts hydrodynamic pressure acting onto tank walls and tank bottom. This

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