Interval methods of Adams-Bashforth type with variable step sizes

被引：0
|
作者：
Andrzej Marciniak
Malgorzata A. Jankowska
机构：
[1] Poznan University of Technology,Institute of Computing Science
[2] State University of Applied Sciences in Kalisz,Department of Computer Science
[3] Poznan University of Technology,Institute of Applied Mechanics
来源：
Numerical Algorithms | 2020年 / 84卷
关键词：
Initial value problem; Adams-Bashforth methods; Interval Adams-Bashforth methods; Variable step size; Floating-point interval arithmetic;
D O I：
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学科分类号：
摘要：
In a number of our previous papers, we have proposed interval versions of multistep methods (explicit and implicit), including interval predictor-corrector methods, in which the step size was constant. In this paper, we present interval versions of Adams-Bashforth methods with a possibility to change step sizes. This possibility can be used to obtain interval enclosures of the exact solution with a width given beforehand.
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页码：651 / 678
页数：27
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