Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646276 | Applied Numerical Mathematics | 2006 | 13 Pages |
Abstract
This paper studies the estimation of local truncation errors for a family of general linear methods with inherent Runge–Kutta stability. While integrating with a method of order p it is possible not only to estimate the truncation error of this method but also the truncation error of the method of order p+1 asymptotically correctly. Numerical results for a variable stepsize and variable order implementation for stiff ODEs are given.
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Mathematics
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