1,721,030 research outputs found
A general class of finite-difference methods for the linear transport equation
A wide family of finite-differences methods for the linear advection equation, based on a six-point stencil, is presented. The family depends on three parameters and includes most of the classical linear schemes. A stability and consistency analysis is carried out of the parameters. The problem of the determination of the parameters providing the best approximation is also addressed
Spline approximation of advection-diffusion problems using upwind type collocation nodes
A spline collocation method for linear advection-diffusion equations is proposed. The method is based on an operator-dependent collocation grid, and provides stabilized approximated solutions, with respect to the coefficient of the diffusive term, when problems are advection dominated. (C) 1999 Elsevier Science B.V. All rights reserved
Ultrathin fibers from electrospinning experiments under driven fast-oscillating perturbations
A nonlinear mathematical model for the dynamics of the saccular aneurysm
Cerebral berry aneurysms are modeled as a membrane having geometrical spherical symmetry and with properties that combine viscoelastic and plastic behaviour. The forcing action on the membrane is due to the internal pulsatile blood pressure, expressed as a truncated Fourier series, and to the external pressure exerted by the cerebral spinal fluid (CSF) surrounding the aneurysm. A sensitivity and a stability analysis is carried out, and the differences with respect to the purely elastic case are highlighted
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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