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

- 228 Want to read
- 25 Currently reading

Published
**1996** 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

- Algorithms.,
- Boundary conditions.,
- Dirichlet problem.,
- Diffusion.,
- Partial differential equations.

**Edition Notes**

Other titles | Multi-dimensional asymptotically stable fourth order accurate schemes for the diffusion equation. |

Statement | Saul Abarbanel, Adi Ditkowski. |

Series | ICASE report -- no. 96-8., NASA contractor report -- 198279., NASA contractor report -- NASA CR-198279. |

Contributions | Ditkowski, Adi., Institute for Computer Applications in Science and Engineering. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL18121423M |

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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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.

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.

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

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