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Nordsieck representation of DIMSIMs |
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| Authors: | Butcher JC Chartier P Jackiewicz Z |
| Institution: | (1) Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand;(2) INRIA, Campus Universitaire de Beaulieu, F-35042 Rennes Cedex, France;(3) Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA |
| Abstract: | A new representation for diagonally implicit multistage integration methods (DIMSIMs) is derived in which the vector of external stages directly approximates the Nordsieck vector. The methods in this formulation are zero-stable for any choice of variable mesh. They are also easy to implement since changing step-size corresponds to a simple rescaling of the vector of external approximations. The paper contains an analysis of local truncation error and of error accumulation in a variable step-size situation. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | DIMSIM methods Nordsieck representation variable step-size error accumulation error estimation |
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