Global Extrapolation With A Parallel Splitting Method

Global Extrapolation with a Parallel Splitting Method

The Splitting Extrapolation Method

The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.

Parallel Scientific Computing

This volume presents the proceedings of the First International workshop on Parallel Scientific Computing, PARA '94, held in Lyngby, Denmark in June 1994. It reports interdisciplinary work done by mathematicians, scientists and engineers working on large-scale computational problems in discussion with computer science specialists in the field of parallel methods and the efficient exploitation of modern high-performance computing resources. The 53 full refereed papers provide a wealth of new results: an up-to-date overview on high-speed computing facilities, including different parallel and vector computers as well as workstation clusters, is given and the most important numerical algorithms, with a certain emphasis on computational linear algebra, are investigated.