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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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  • 18 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 LibraryOL17125949M

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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 complex 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 measure 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.

We prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given.

Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty Zhen Gao1 and Jan S. Hesthaven2, 1 Research Center for Applied Mathematics, Ocean University of China, Qingdao,PRC & Division of Applied Mathematics, Brown University, Providence,USA.

This article deals with investigation of some important properties of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations in bounded multi-dimensional domains. 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 to a second order equation).

Typically any differential equation having a small parameter multiplying the highest order derivative will give a singular perturbation problem. Its average time complexity is of the order n log(n). To execute it, arbitrarily choose an element x in the set. Split all other elements in the set into those greater than or equal to x and those less than x.

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