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Numerical experiments on two time\u2010dependent problems, one with finite time blow\u2010up and one with a moving front, indicate that the method far outperforms the standard Chebyshev spectral collocation method for problems whose solutions have singularities in the complex plane close to $[-1,1]$.<\/jats:p>","DOI":"10.1137\/050641296","type":"journal-article","created":{"date-parts":[[2006,10,25]],"date-time":"2006-10-25T18:00:30Z","timestamp":1161799230000},"page":"1798-1811","source":"Crossref","is-referenced-by-count":101,"title":["A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points"],"prefix":"10.1137","volume":"28","author":[{"given":"T. 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