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Showing papers in "Mathematics and Computers in Simulation in 2003"


Journal ArticleDOI
TL;DR: The Cartesian cut cell method is described, which provides a flexible and efficient alternative to traditional boundary fitted grid methods and is described with applications to problems involving both moving bodies and moving material interfaces.

205 citations


Journal ArticleDOI
TL;DR: It is concluded that neural detectors for rotor and stator faults as well as for rolling bearings and supply asymmetry faults can be developed based on measurement data acquired on-line in the drive system.

149 citations


Journal ArticleDOI
TL;DR: A systematic procedure based on nonlocal approximation is proposed for the construction of qualitatively stable nonstandard finite difference schemes for the logistic equation, the combustion model and the reaction-diffusion equation.

134 citations


Journal ArticleDOI
TL;DR: This paper presents new optimal fourth-order SSPRK schemes with mild storage requirements and up to eight stages and finds that these schemes are ultimately more efficient than the known fourth- order SSPrK schemes because the increase in the allowable time-step more than offsets the added computational expense per step.

83 citations


Journal ArticleDOI
TL;DR: The international roughness index (IRI) for evaluating pavement surface roughness is simulated using the power spectral density (PSD) of pavement surface fluctuation and can be simply calculated by means of the square root of the sum of the weighted regression coefficients of PSD roughness.

80 citations


Journal ArticleDOI
TL;DR: A fuzzy logic based supervisor is proposed with the aim to minimize variations of the power generated by the diesel generator to control the power exchanged between the flywheel energy storage system and the ac grid.

79 citations


Journal ArticleDOI
TL;DR: Two versions of the Finite volume discontinuous Galerkin (FVDG) method are discussed, which is a generalization of the combined finite volume-finite element (FV-FE) method, and the pure DGFE method of higher order is considered.

75 citations


Journal ArticleDOI
TL;DR: The problem of modelling and the finite element simulation of thermoforming processes for polymeric sheets at various temperatures and for different loading regimes is addressed and a model for the elastic-plastic deformation of BAYFOL® is described and is used to simulate the inflation part of the Niebling process.

74 citations


Journal ArticleDOI
TL;DR: Control techniques for PWM rectifiers in ac adjustable speed drives are presented and compared with their voltage-based counterparts, that is, the voltage-oriented control (VOC) and voltage- based direct power control ( V-DPC) techniques.

65 citations


Journal ArticleDOI
TL;DR: A generalization of the well-known, explicit Euler finite difference technique is used to compute the solution of two three-dimensional parabolic inverse problems and has second-order accuracy with respect to the space variables.

62 citations


Journal ArticleDOI
TL;DR: After establishing the global-in-time existence of solutions for such fluids for the two-dimensional case, the equations are discretized via the finite element method, the Newton type iterative method is outlined and numerical computations of the steady flow of such fluids in geometries that have technological significance are provided.

Journal ArticleDOI
TL;DR: The compactons: new form of solitary waves with compact support and width independent of amplitude, are formally constructed and further establish solitary patterns solutions for the defocusing branches of these dispersive models.

Journal ArticleDOI
TL;DR: It is proved rigorously the absence of collapse in the model, and the phenomenology found in the nonlocal model is very similar to that present in the reduced one with the nonlinear dispersion.

Journal ArticleDOI
TL;DR: Empirical tests performed with Genz's test function package show that cubature rule based algorithms can provide more accurate results than quasi-Monte Carlo routines for dimensions up to s = 100.

Journal ArticleDOI
TL;DR: The existence of the weak solution of the nonlinear boundary value problem -(|u'|p-2u')' is studied and results generalize previously published results about the solvability of the problem.

Journal ArticleDOI
TL;DR: This paper is focused on control structures for systems with upstream coupling, and points out coupling elements, which have to distribute energy, which can be found by moving control blocks.

Journal ArticleDOI
TL;DR: It is shown that for a range of the modulation index the switching angles can be chosen to produce the desired fundamental while at the same time the fifth and seventh harmonics are identically zero.

Journal ArticleDOI
TL;DR: The need for a reinterpretation of Hicks' contribution in the light of a more careful mathematical investigation is shown, it will be shown that only one bound is needed to have non explosive outcome if the equilibrium point is an unstable focus.

Journal ArticleDOI
TL;DR: The capabilities of Lugares for obtaining the equations and graphs of plane loci and the main novelty in Lugares consists of the link between the dynamic geometry paradigm and a symbolic approach to automatic discovery in geometry.

Journal ArticleDOI
TL;DR: This paper explains why the behaviour of the conjugate gradient method converges typically in three phases, an initial phase of rapid convergence but short duration, a fairly linearly convergent phase, which depends on the spectral condition number and finally a superlinearly Convergent phase which dependson how the smallest eigenvalues are distributed.

Journal ArticleDOI
TL;DR: It is shown that the focusing branches provide compactons solutions: solitons with compact support and the defocusing branches generate solitary patterns solutions.

Journal ArticleDOI
TL;DR: Although the problem is a classical one, numerical simulations over a large range of dispersion parameters in the long run have demonstrated new features: the existence of soliton ensembles including also virtual (hidden) solitons and the periodic patterns of the wave-profile maxima.

Journal ArticleDOI
TL;DR: In empirical statistical tests, combined generators with one large linear component, and a second component of a different type (nonlinear or linear), are proposed and studied and perform better than simple linear generator of comparable period lengths, because of their less regular structure.

Journal ArticleDOI
TL;DR: Stability results of several velocity-pressure pairs with respect to growing aspect ratio of the elements in the mesh are reviewed and numerical tests are described.

Journal ArticleDOI
TL;DR: A static hysteresis model for the saturable transformer blocks in the Power System Blockset (PSB), a MATLAB/Simulink®-based simulation tool is presented and an example case is described to illustrate remanent flux and inrush current at transformer energization.

Journal ArticleDOI
TL;DR: A parallel adaptive Monte Carlo (MC) algorithm for the numerical solution of the nonlinear Poisson equation in semiconductor devices and fully exploits the inherent parallelism of the monotone iterative as well as MC methods is presented.

Journal ArticleDOI
TL;DR: In this paper, a four-component mixture theory is used to model the swimming and shrinking of cartilaginous tissues, which results in a set of coupled non-linear partial differential equations for the electrochemical potentials and the displacement.

Journal ArticleDOI
TL;DR: Results of numerical experiments are given with parallel solution of a model problem discretized by up to more than eight million of nodal variables to give an evidence of both numerical and parallel scalability of the algorithm presented.

Journal ArticleDOI
TL;DR: The results show that the magnetisation of the medium is excited in the form of solitons and also the magnetic field component of the propagating EMW is modulated in theForms of Solitons.

Journal ArticleDOI
Min Chen1
TL;DR: This paper is centered at deriving and studying systems modeling bi-directional surface waves over an uneven or a moving bottom and Boussinesq systems describing two-way propagation of water waves.