... on the refined mesh, at lower computational costs and at about the same memory requirements. Originality/value The paper can proof mathematically and demonstrate in practice, that a higher order of convergence is achieved by using piecewise linear, globally discontinuous basis functions instead of piecewise...

... the method works in practice. Electronics Estimation Mathematical methods Mathematics Thanks are due to the Mathematical Institute of the Polish Academy of Sciences, the Institute of Mathematics of the Pedagogical University of Kielce and the Circuit Theory Division of the Technical University...

...P. Degond; Y. Qiu Presents a simplified mathematical model of electron transport in a one‐dimensional semiconductor device of N+ ‐ N ‐ N + type. The model is based on a singular perturbation approach of the kinetic equation which describes the transport processes. This so...

... a bounded set of singularity[ 2 ]. © MCB UP Limited 1997 Circuits Electrical engineering Mathematics Modelling Optimization (1) (2) where: Δi = i ‐ i₀; i₀ = a given master signal; (7) This algorithm is called...

... of point sources approximating the multiline distributions. The range of validity of the low‐frequency expansion is estimated by comparing with results obtained using the T‐matrix method. Electrical engineering Mathematics Methods Theory The theory of electromagnetic scattering by particles...

..., sufficient conditions for global stability of the zero solution of the systems considered are found. © MCB UP Limited 1997 Mathematics Numerical stability Differential difference equations In recent years the impulsive differential equations have been an object of numerous investigations...

...Andrzej Demenko; Lech Nowak Presents a method for the finite element (FE) analysis of saturation effects in a squirrel‐ cage electrical machine. The proposed mathematical model includes the FE equations of the electromagnetic field, the equations which define the connection of windings...

... by matching the inner and the outer fields on the spherical interface. Electronics Mathematics Methods The use of finite elements for solving electromagnetic radiation in open boundary problems requires a truncation of the infinite space with an artificial boundary surrounding the meshed region...

..., this expression is written (6) with l the machine’s length. © MCB UP Limited 1996 Mathematics Modelling To model electromagnetic devices, it is widely known that is necessary to consider simultaneously magnetic and electric equations. During the last ten years, many papers...

... to ( , ) since the elements of N are curl‐free. Hence we have: © MCB UP Limited 1996 Electronics Mathematics Methods The problem of finding the resonant modes of a cavity or the propagating modes of a waveguide is one of the most addressed problems in the microwave world. Since...

... of equation (4). By virtue of equations (6) and (10) the error on this new boundary condition is given by: where the kernel is: © MCB UP Limited 1996 Electricity Mathematics Semiconductors Theory The search for efficient techniques for the FEM (finite element method) computation...

.../(qn₀L²_{0) and C = ND NA. © MCB UP Limited 1996 Mathematics Models Semiconductors For the discretization in time, an implicit scheme is proposed here, which may be Gear’s scheme or more simply Euler’s scheme when transient effects are not important}...

... Limited 1996 Mathematics Models Semiconductors For quantum devices, the Schrödinger and Poisson equations are often solved using the finite difference method[ 1 , 2 ]. The aim of this paper is to present a numerical simulation of the Schrödinger and Poisson equations using a mixed...

... for extracting several interesting relationships as well as the expected noise performance of the device when the parasitic elements representing package are added. © MCB UP Limited 1996 Electricity Mathematics Models Noise Theory It is well known that the complete noise characterization...

...). In larger problems where a substantial number of free nodes can exist between the conductors it can be easier to construct and reduce the following matrix © MCB UP Limited 1996 Electricity Mathematics Models Theory To illustrate the performance of the direct method compared...