Search results for "Simulation."
showing 10 items of 4779 documents
Computation of Yvon-Villarceau circles on Dupin cyclides and construction of circular edge right triangles on tori and Dupin cyclides
2014
Ring Dupin cyclides are non-spherical algebraic surfaces of degree four that can be defined as the image by inversion of a ring torus. They are interesting in geometric modeling because: (1) they have several families of circles embedded on them: parallel, meridian, and Yvon-Villarceau circles, and (2) they are characterized by one parametric equation and two equivalent implicit ones, allowing for better flexibility and easiness of use by adopting one representation or the other, according to the best suitability for a particular application. These facts motivate the construction of circular edge triangles lying on Dupin cyclides and exhibiting the aforementioned properties. Our first contr…
Multiple solutions for a discrete boundary value problem involving the p-Laplacian.
2008
Multiple solutions for a discrete boundary value problem involving the p-Laplacian are established. Our approach is based on critical point theory.
Solving a model for 1-D, three-phase flow vertical equilibrium processes in a homogeneous porous medium by means of a Weighted Essentially Non Oscill…
2013
Mathematical models of multi-phase flow are useful in some engineering applications like enhanced oil recovery, filtration of pollutants into subsurface, etc. In this work, we derive a mathematical model for the motion of one-dimensional three-phase flow in a porous medium under the condition of vertical equilibrium, which can be viewed as an extension of some two-phase flow models described in the literature. Our model involves a system of two partial differential equations in the form of viscous conservation laws, whose solutions may contain very sharp transitions. We show that a high-order/high resolution Weighted Essentially Non Oscillatory scheme is an appropriate tool to discretize th…
Rational solutions to the KPI equation from particular polynomials
2022
Abstract We construct solutions to the Kadomtsev–Petviashvili equation (KPI) from particular polynomials. We obtain rational solutions written as a second spatial derivative of a logarithm of a determinant of order n . We obtain with this method an infinite hierarchy of rational solutions to the KPI equation. We give explicitly the expressions of these solutions for the first five orders.
A method for detecting vacancy diffusion in molecular dynamics
1992
On the systolic calculation of all-pairs interactions using transputer arrays
1991
A Spline Collocation Scheme for the Spherical Shallow Water Equations
1999
Effective strategies for targeted attacks to the network of Cosa Nostra affiliates
2022
AbstractNetwork dismantling has recently gained interest in the fields of intelligence agencies, anti-corruption analysts and criminal investigators due to its efficiency in disrupting the activity of malicious agents. Here, we apply this approach to detect effective strategies for targeted attacks to Cosa Nostra by analysing the collaboration network of affiliates that participate to the same crimes. We preliminarily detect statistically significant homophily patterns induced by being member of the same mafia syndicate. We also find that links between members belonging to different mafia syndicates play a crucial role in connecting the network into a unique component, confirming the releva…
On optimal estimates for the solutions of linear difference equations on the circle
1976
A linear difference equation arising in the proof of Moser's twist mapping theorem is solved and optimal estimates for the solution are established.
Navigationsformel zu A. Busemanns Variationsproblem der Raumfahrt
1970
Die Indikatrix des Variationsproblems wird auser durch die Storungsdifferentialgleichung fur die grose Halbachse und die Exzentrizitat durch einen Zusammenhang zwischen der Richtung des Impulsausstoses und der exzentrischen Anomalie gegeben. Die Hamilton-Gleichungen einer Extremalen reduzieren sich dann auf eine Navigationsgleichung. Die restlichen Storungsgleichungen fur die Perihellange und die mittlere Lange der Epoche geben schlieslich den sparsamsten zeitlichen Ablauf des Raketenausstoses.