On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs

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• 作者：Marco Berardi ; ^{berardi@dm.uniba.it} ; Luciano Lopez ^{lopezl@dm.uniba.it}
• 关键词：Adams&ndash ; Bashforth methods ; Nordsieck technique ; Discontinuous differential systems ; Event location
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：June, 2012
• 卷：25
• 期：6
• 页码：995-999
• 文件大小：202 K

摘要

The interpolation polynomial in the -step Adams-Bashforth method may be used to compute the numerical solution at off grid points. We show that such a numerical solution is equivalent to the one obtained by the Nordsieck technique for changing the step size. We also provide an application of this technique to the event location in discontinuous differential systems.