نتایج جستجو برای: numerical diffusion

تعداد نتایج: 483477  

Journal: :Monthly Notices of the Royal Astronomical Society 1996

Journal: :Fractional Calculus and Applied Analysis 2022

Abstract This paper introduces sufficient conditions to determine conservation laws of diffusion equations arbitrary fractional order in time. Numerical methods that satisfy discrete counterparts these have approximate the continuous ones. On basis this result, we derive for a mixed scheme combines finite difference method space with spectral integrator A range numerical experiments shows conve...

Journal: :IEEE Trans. on CAD of Integrated Circuits and Systems 1991
Richard B. Fair Carl L. Gardner Michael J. Johnson Stephen W. Kenkel Donald J. Rose J. E. Rose Ravi Subrahmanyan

Two-dimensional (2-D) effects are becoming increasingly important in the diffusion of impurities in submicrometer silicon devices. Existing process simulators cannot accurately model some of these effects. We describe a 2-D process simulator PREDICT2 that handles implant damage effects, annealing, and lateral diffusion. PREDICT2 simulates the diffusion of impurities in silicon by using phenomen...

Journal: :Comput. Graph. Forum 2012
Grzegorz Karol Karch Filip Sadlo Daniel Weiskopf Claus-Dieter Munz Thomas Ertl

Advection has been the standard transport mechanism in flow visualization. Diffusion, in contrast, has not been considered important in visual flow field analysis so far, although it is inherent to many physical processes. We present a novel technique that allows for interactive 3D visualization of both advection and diffusion in unsteady fluid flow. We extend texture-based flow visualization, ...

2014
W. ZHANG C. HARTMANN

We study optimal control of diffusions with slow and fast variables and address a question raised by practitioners: is it possible to first eliminate the fast variables before solving the optimal control problem and then use the optimal control computed from the reduced-order model to control the original, high-dimensional system? The strategy “first reduce, then optimize”—rather than “first op...

2003
K. E. J. Lehtinen

The formation and growth of atmospheric aerosol particles is considered using an exact discrete method with molecular resolution in size space. The method is immune to numerical diffusion problems that are a nuisance for typical simulation methods using a sectional representation for the particle size distribution. For condensational growth, a slight modification is proposed for the Fuchs-Sutug...

2001
E. Somfai R. van Gastel J.W.M. Frenken

We develop a version of the vacancy mediated tracer diffusion model, which follows the properties of the physical system of In atoms diffusing within the top layer of Cu(0 0 1) terraces. This model differs from the classical tracer diffusion problem in that (i) the lattice is finite, (ii) the boundary is a trap for the vacancy, and (iii) the diffusion rate of the vacancy is different, in our ca...

2009
Yasutaka Shimizu YASUTAKA SHIMIZU

In the inference for jump-diffusion processes, we often need to get the information of the jump part and of the continuous part separately from the data. Although some asymptotic theories have been studied on this issue, a practical interest is the inference from finitely many discrete samples. In this paper we propose a numerical procedure to construct a filter to judge whether or not a jump o...

In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative of function tk. We approximate the C-F derivative in time with the help of the Legendre spectral method and approximation formula o...

Journal: :journal of mathematical modeling 2013
hashem saberi najafi seyyed ahmad edalatpanah amir hossein refahi sheikhani

in this paper, we design a new model of preconditioner for systems of linear equations. the convergence properties of the proposed methods have been analyzed and compared with the classical methods. numerical experiments of convection-diffusion equations show a good im- provement on the convergence, and show that the convergence rates of proposed methods are superior to the other modified itera...

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