### Abstract

Original language | Undefined |
---|---|

Pages | 872-874 |

Number of pages | 3 |

Publication status | Published - 1998 |

### Keywords

- EWI-8612
- IR-66732

### Cite this

*Experiments with MRAI time stepping schemes on a distributed memory parallel environment*. 872-874.

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**Experiments with MRAI time stepping schemes on a distributed memory parallel environment.** / Sloot, P. (Editor); Bochev, Mikhail A.; Bubak, M. (Editor); Hertzberger, L.O. (Editor).

Research output: Contribution to conference › Paper

TY - CONF

T1 - Experiments with MRAI time stepping schemes on a distributed memory parallel environment

AU - Bochev, Mikhail A.

A2 - Sloot, P.

A2 - Bubak, M.

A2 - Hertzberger, L.O.

N1 - Note different possible spellings of author's name: "Botchev" or "Bochev"

PY - 1998

Y1 - 1998

N2 - Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual Approximate Implicit (MRAI) schemes are specially designed as a cheaper and parallelizable alternative for implicit time stepping. A several GMRES iterations are performed to solve approximately the implicit scheme of interest, and the step size is adjusted to guarantee stability. A natural way to apply the approach is to modify a given implicit scheme in which one is interested. Here, we present numerical results for two parallel implementations of MRAI schemes. One is based on the simple Euler Backward scheme, and the other is the MRAI-modified multistep ODE solver LSODE. On the Cray T3E and IBM SP2 platforms, the MRAI codes exhibit parallelism of explicit schemes. The model problem under consideration is the 3D spatially discretized heat equation. The speed-up results for the Cray T3E and IBM SP2 are reported.

AB - Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual Approximate Implicit (MRAI) schemes are specially designed as a cheaper and parallelizable alternative for implicit time stepping. A several GMRES iterations are performed to solve approximately the implicit scheme of interest, and the step size is adjusted to guarantee stability. A natural way to apply the approach is to modify a given implicit scheme in which one is interested. Here, we present numerical results for two parallel implementations of MRAI schemes. One is based on the simple Euler Backward scheme, and the other is the MRAI-modified multistep ODE solver LSODE. On the Cray T3E and IBM SP2 platforms, the MRAI codes exhibit parallelism of explicit schemes. The model problem under consideration is the 3D spatially discretized heat equation. The speed-up results for the Cray T3E and IBM SP2 are reported.

KW - EWI-8612

KW - IR-66732

M3 - Paper

SP - 872

EP - 874

ER -