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

- 53 Want to read
- 18 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 | OL17125949M |

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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 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.

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[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.

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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.

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