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Alternating splitting waveform relaxation method and its successive overrelaxation acceleration

✍ Scribed by Zhong-Zhi Bai; Michael K. Ng; Jian-Yu Pan


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
776 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis


For the large sparse implicit linear initial value problem, we present a block successive overrelaxation scheme for the alternating direction implicit waveform relaxation method to further accelerate its convergence speed, and discuss the convergence property of the resulting iteration method in detail. Numerical implementations about several non-Hermitian implicit linear initial value problems show that the alternating direction implicit waveform relaxation method is very effective, and the block successive overrelaxation technique really accelerates its convergence speed.