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3 edition of Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation found in the catalog.

Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation

Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation

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  • 25 Currently reading

Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va .
Written in English

    Subjects:
  • Algorithms.,
  • Boundary conditions.,
  • Dirichlet problem.,
  • Diffusion.,
  • Partial differential equations.

  • Edition Notes

    Other titlesMulti-dimensional asymptotically stable fourth order accurate schemes for the diffusion equation.
    StatementSaul Abarbanel, Adi Ditkowski.
    SeriesICASE report -- no. 96-8., NASA contractor report -- 198279., NASA contractor report -- NASA CR-198279.
    ContributionsDitkowski, Adi., Institute for Computer Applications in Science and Engineering.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL18121423M

    N. Ahmed, G. Matthies, Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent convection-diffusion-reaction equations, Journal of Scientific Computing, 67 (), pp. This leading order equation captures the most singular contribution of the integral equation. Moreover, after applying a transformation to the physical variables, we found that this leading order 3-D vortex sheet equation de-generates into a two-dimensional vortex sheet equation in the direction of the tangential velocity jump. In this paper, we present a system for cutting a moving object out from a video clip. The cutout object sequence can be pasted onto another video or a background image. To achieveCited by:


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Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation Download PDF EPUB FB2

Get this from a library. Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation. [Saul S Abarbanel; Adi Ditkowski; Institute for Computer Applications in Science and Engineering.].

An algorithm which solves the multidimensional diffusion equation on Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation book shapes to fourth-order accuracy and is asymptotically stable in time is presented. Thisbounded-errorresult is achieved by constructing, on arectangular grid,a differentiation matrix whose symmetric part is negative definite.

The differentiation matrix accounts for the Cited by: Abarbanel S, Ditkowski A. Multi-dimensional asymptotically stable 4th-order accurate schemes for the diffusion equation. ICASE Report no. February Cited by: In this paper, we study the stability of the Crank–Nicolson and Euler schemes for time-dependent diffusion coefficient equations on a staggered grid with explicit and implicit approximations to.

Multi-dimensional asymptotically stable finite di•erence schemes for the advection–di•usion equation This paper considers second-order accurate approximations to model linear advection– block for the multi-dimensional algorithm, even for irregular shapes.

[2] S. ABARBANEL AND A. DITKOWSKI, Multi-dimensional asymptotically stable schemes for advection- diffusion equations, ICASE Report No.

To appear in Computers and Fluids. In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems.

These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, high-order formal accuracy, Cited by: t} is sometimes called an α-stable process.

Let {X t} be a nontrivial stable process on = 0 in () for every a>0, we call {X t} a first-class stable process. Otherwise we call {X t} a second-class stable process. The process is first-class stable if and only if it is strictly stable in the terminology of [32]; it is. However, in multi-dimensional cases it is very difficultto investigate asymptotic behaviour of densitiesof non-degenerate stable distributionsin general.

In the present paper we give the following two results: If the Levy Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation book of the stable distributionhas mass at a half-line,then the density decreases along the half-line with the same order. A general class of nonlinear degenerate parabolic equations in many space dimensions is considered and two main results concerning the free boundary are proved: (i) the «eventual» Lipschitz continuity in the space variable, (ii) the asymptotic spherical symmetry in a stronger sense than the «almost radiality» proved by Aronson & Caffarelli [2] for the porous Cited by: 2.

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In particular, we investigate the asymptotic behavior of the solutions as the time variable t → 0 and t → +∞.Cited by: It is a small perturbation of the equation (), but this small perturbation changes the character of the equation completely (from a first order equation Multi-dimensional asymptotically stable 4th order accurate schemes for the diffusion equation book a second order equation).

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