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An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the ‖·‖∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.

Analysis of integral equations attached to skin effect

Ivo Vrkoč (1985)

Aplikace matematiky

Computer simulation of magnetic phase portraits and geometric dynamics around piecewise rectilinear circuits.

Udrişte, Constantin, Postolache, Mihai, Soeanu, Andrei (1999)

APPS. Applied Sciences

Dynamical analysis of an interleaved single inductor TITO switching regulator.

El Aroudi, Abdelali, Moreno-Font, Vanessa, Benadero, Luis (2009)

Mathematical Problems in Engineering

Explicit solution of the inverse eigenvalue problem of real symmetric matrices and its application to electrical network synthesis.

Kandić, D.B., Reljin, B.D. (2008)

Mathematical Problems in Engineering

FEMLab software applied to Active Magnetic Bearing analysis

Adam Piłat (2004)

International Journal of Applied Mathematics and Computer Science

This paper presents how the FEMLab package can be used to perform the magnetic field analysis in the Active Magnetic Bearing (AMB). The AMB is an integral part of the industrial rotational machine laboratory model. The electromagnetic field distribution and density analysis allow verifying the designed AMB and the influence of the shaft and coil current changes on the bearing parameters.

Field-weakening nonlinear control of a separately excited DC motor.

Zribi, Mohamed, Al-Zamel, Adel (2007)

Mathematical Problems in Engineering

Finite element solution of a nonlinear diffusion problem with a moving boundary

Libor Čermák, Miloš Zlámal (1986)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Finite element solution of a nonlinear diffusion problem with a moving boundary

Čermák, Libor, Zlámal, Miloš (1986)

Equadiff 6

Flux reflection model of the ferroresonant circuit.

Miličević, Kruno, Flegar, Ivan, Pelin, Denis (2009)

Mathematical Problems in Engineering

Functional equations and a theoretical model of DLTS

Václav Tryhuk (1995)

Applications of Mathematics

The paper deals with a theoretical model of the Crowel-Alipanahi correlator. The model describes a new possible effect of the DLTS spectra-exponential and nonexponential transient capacitance, normal or anomalous spectra.

Global Approximate Newton Methods.

R.E. Bank, D.J. Rose (1981)

Numerische Mathematik

Global existence of solutions for the non linear Boltzmann equation of semiconductor physics.

Francisco José Mustieles (1990)

Revista Matemática Iberoamericana

In this paper we give a proof of the existence and uniqueness of smooth solutions for the nonlinear semiconductor Boltzmann equation. The method used allows to obtain global existence in time and uniqueness for dimensions 1 and 2. For dimension 3 we can only assure local existence in time and uniqueness. First, we define a sequence of solutions for a linearized equation and then, we prove the strong convergence of the sequence in a suitable space. The metod relies on the use of interpolation estimates...

Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface

M. Jai (1995)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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