Parallel interval Newton-like Schwarz methods for almost linear parabolic problems
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摘要
We introduce parallel interval Newton–Schwarz-like methods for nonlinear systems of equations arising from discretizations of almost linear parabolic problems. By applying interval techniques, we get global convergence properties and verified enclosures. Parallelism is introduced by domain decomposition. Numerical results from a SGI Altix 3700 are included.
论文关键词：Almost linear parabolic problems,Enclosure methods,Nonlinear systems of equations,Newton-like methods,Schwarz alternating procedure,Domain decomposition,Parallel methods
论文评审过程：Received 24 January 2005, Available online 18 April 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2005.07.042
