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A Reliable Error Estimation for Diagonally Implicit Multistage Integration Methods |
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| Authors: | J. C. Butcher Z. Jackiewicz |
| Affiliation: | (1) Department of Mathematics, The University of Auckland, Private Bag, 92019 Auckland, New Zealand;(2) Department of Mathematics, Arizona State University, Tempe, AZ, 85287 |
| Abstract: | A new approach to the estimation of the local discretization error for diagonally implicit multistage integration methods (DIMSIMs) is described. The error estimates that are obtained are very accurate and very reliable for both explicit and implicit methods for any stepsize pattern.This revised version was published online in October 2005 with corrections to the Cover Date. |
| Keywords: | DIMSIM methods Nordsieck representation local error estimation |
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