Finding special points using matrix-free predictor–corrector methods
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摘要
One of the main purposes of numerical continuation methods concerns the accurate determination of certain special points on the solution curve c(s) which is implicitly defined from a smooth map H:Rn+1→Rn. In this paper, matrix-free predictor–corrector methods in conjunction with adaptive steplength control is used to approximate the critical and fixed points of a smooth map. Some of numerical results are presented.
论文关键词：Continuation methods,Homotopy methods,Euler–Newton predictor–corrector method,Matrix-free predictor–corrector methods,Adaptive steplength control,Critical points of a smooth map,Fixed points of a smooth map
论文评审过程：Available online 6 December 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.07.061
