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The main advantage of these new adaptive schemes is the fact that the leading terms of their local and true errors coincide. Thus, controlling the local error of such methods by cheap standard techniques automatically regulates their global error as well. Numerical experiments of this paper support theoretical results presented below and illustrate how the new global error control concept works in practice. We also conduct a comparison with explicit ODE solvers in MATLAB.<\/jats:p>","DOI":"10.1137\/090764840","type":"journal-article","created":{"date-parts":[[2010,6,16]],"date-time":"2010-06-16T18:06:20Z","timestamp":1276711580000},"page":"1695-1723","source":"Crossref","is-referenced-by-count":28,"title":["Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control"],"prefix":"10.1137","volume":"32","author":[{"given":"G. 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