2 edition of **Parallel and sequential algorithms for second-order parabolic equations with applications.** found in the catalog.

Parallel and sequential algorithms for second-order parabolic equations with applications.

Abba Babandi Gumel

- 393 Want to read
- 40 Currently reading

Published
**1993**
by Brunel University in Uxbridge
.

Written in English

**Edition Notes**

Contributions | Brunel University. Department of Mathematics and Statistics. |

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

Pagination | 163p. : |

Number of Pages | 163 |

ID Numbers | |

Open Library | OL20681438M |

Sometimes, you use a sequence of seeds when using parallelism. So, every run will give the same results, but not the same as the sequential version. So, basically, you would get the same results only if using the same seed AND the same numbers of cores. Is this the case here? – F. Privé Oct 7 '18 at The book is intended to quickly bring researchers and graduate students working on numerical solutions of partial differential equations with various applications into the area of parallel processing. The book starts from the basic concepts of parallel processing, like speedup, efficiency and different parallel architectures, then introduces.

Parallel Algorithm for Gauss Elimination Method In the Parallel execution using the Multi thread mechanism. If the size of the linear equation is n, n processors are used. Each thread represent one processor. In the Parallel execution processing time is less compared to sequential execution. for k = 1 to n-1 for i = k+1 to n do in parallel u. Multigrid algorithms have been mainly developed to solve linear system of equations which arise from the discretization of elliptic and parabolic PDEs. Smoothers like Jacobi, Gauss-Seidel, and CG, which work in the case of these PDEs do not work for inverse problems because of the different eigen-structure of the reduced Hessian operator.

Parallel and sequential algorithms for second-order parabolic equations with applications. Author: Gumel, Abba Babandi. ISNI: Awarding Body: Brunel University Current Institution: Brunel University Date of Award: Parallel Algorithms and Parallel Architectures 13 Relating Parallel Algorithm and Parallel Architecture 14 Implementation of Algorithms: A Two-Sided Problem 14 Measuring Beneﬁ ts of Parallel Computing 15 Amdahl’s Law for Multiprocessor Systems 19 Gustafson–Barsis’s Law 21 Applications of Parallel Computing

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Sukhinov. This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems.

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Problem Formulation Many physical and technological processes are described by mathematical. Time-parallel iterative solvers for parabolic evolution equations Martin Neumuller y and Iain Smearsz Febru Abstract We present original time-parallel algorithms for the solution of the implicit Euler dis-cretization of general linear parabolic evolution equations with time-dependent self-adjoint spatial : Martin Neumuller, Iain Smears.

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