Thomas Mountford, Pierre Tarrès (2008)
Annales de l'I.H.P. Probabilités et statistiques
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields92 (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process Xt (corresponding to the location of the end of the polymer at time t) for a particular type of repelling interaction function without compact support.
A. Back, A. Crestetto, A. Ratnani, E. Sonnendrücker (2011)
ESAIM: Proceedings
Isogeometric analysis has been developed recently to use basis functions resulting from the CAO description of the computational domain for the finite element spaces. The goal of this study is to develop an axisymmetric Finite Element PIC code in which specific spline Finite Elements are used to solve the Maxwell equations and the same spline functions serve as shape function for the particles. The computational domain itself is defined using splines...
Sun, Jianzhong (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Stoilova, Neli I., Van der Jeugt, Joris (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Gâta, Marieta (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
Holmes, Mark P., Van Der Hofstad, Remco, Slade, Gordon (2008)
Electronic Communications in Probability [electronic only]
Koenenberg, M. (2011)
Documenta Mathematica
G.S. Chirikjian, A.B. Kyatkin (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Zhiming Chen, Qiang Du (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Zhiming Chen, Qiang Du (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, we construct a combined upwinding and mixed finite element method for the numerical solution of a two-dimensional mean field model of superconducting vortices. An advantage of our method is that it works for any unstructured regular triangulation. A simple convergence analysis is given without resorting to the discrete maximum principle. Numerical examples are also presented.
Persi Diaconis (2005)
Annales de l'I.H.P. Probabilités et statistiques
Matthew Dobson, Mitchell Luskin (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
We analyze a force-based quasicontinuum approximation to a one-dimensional system of atoms that interact by a classical atomistic potential. This force-based quasicontinuum approximation can be derived as the modification of an energy-based quasicontinuum approximation by the addition of nonconservative forces to correct nonphysical “ghost” forces that occur in the atomistic to continuum interface during constant strain. The algorithmic simplicity and consistency with the purely atomistic model at...
Francis Filbet, Amélie Rambaud (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We consider an asymptotic preserving numerical scheme initially proposed by F. Filbet and S. Jin [J. Comput. Phys. 229 (2010)] and G. Dimarco and L. Pareschi [SIAM J. Numer. Anal. 49 (2011) 2057–2077] in the context of nonlinear and stiff kinetic equations. Here, we propose a convergence analysis of such a scheme for the approximation of a system of transport equations with a nonlinear source term, for which the asymptotic limit is given by a conservation law. We investigate the convergence of the...
Beneš, Michal (1998)
Proceedings of Equadiff 9
Ellis, Richard S., Turkington, Bruce, Haven, Kyle (2002)
Journal of Applied Mathematics and Stochastic Analysis
Spivak, Alexander, Schuss, Zeev (2002)
Applied Mathematics E-Notes [electronic only]
Spivak, Alexander, Schuss, Zeev (2003)
Applied Mathematics E-Notes [electronic only]
Milan Krbálek (2010)
Kybernetika
We introduce an one-dimensional thermodynamical particle model which is efficient in predictions about a microscopical structure of animal/human groups. For such a model we present analytical calculations leading to formulae for time clearance distribution as well as for time spectral rigidity. Furthermore, the results obtained are reformulated in terms of vehicular traffic theory and consecutively compared to experimental traffic data.
Guessous, Najib, Hadfat, Fouzia (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Said Benachour (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze